In two stones thrown vertically upward problem, it will take the slower stone 3.67 seconds to return and faster to go 303.6 m high. In vehicles overtaking problem, automobile overtakes the truck 60.16m beyond, and is traveling at 14.7m/s when it overtakes the truck.
Two stones thrown vertically upward problem:
A) To solve this problem we need to use the equation of motion for free fall under gravity: h = -1/2 gt^2 + vt + h0, where h is the height of the stone, g is the acceleration due to gravity, t is the time, and h0 is the initial height. Since we know that the stone is thrown vertically upward from the ground, the initial height h0 is 0.
We also know that the stone is in free fall, so the velocity v is 0 and the final height h is also 0.
We can use this information to find the time it takes for the faster stone to return to the ground:
h = -1/2 gt^2 => 0 = -1/2 (9.8 m/s^2) t^2 => t = √(2h/g) => t = √(2*0/9.8) => t = 0
Now, we know that the faster stone takes 11.0s to return to the ground, and that the faster stone has 3 times the initial speed of the slower stone.
So, the slower stone will take (11.0s/3) = 3.67s to return to the ground.
B) If the slower stone reaches a maximum height of h, then the faster stone will go 3h high.
We can use the equation of motion for free fall under gravity to find the maximum height of the slower stone:
h = -1/2 gt^2 + vt + h0 => 0 = -1/2 gt^2 + 0 + 0 => h = -1/2 gt^2 => h = -1/2 (9.8 m/s^2) (3.67 s)^2 => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -101.2 m
So, the faster stone will go 3*101.2 m = 303.6 m high.
Automobile and truck problem:
We can use the equations of motion for constant acceleration.
First, we need to find the time it takes for the automobile to overtake the truck. We can use the equation: v = u + at, where v is the final velocity, u is the initial velocity (0 m/s for the automobile), a is the acceleration (2.7 m/s^2) and t is the time.
So, v = 0 + 2.7t
Next, we can use the equation of motion for relative motion: v = v_t - v_a, where v_t is the velocity of the truck and v_a is the velocity of the automobile. So, v = 14.7 - 2.7t
We can now set the two equations equal to each other: 14.7 = 2.7t. So, t = 5.44 seconds.
To find the distance the automobile travels before overtaking the truck, we can use the equation: s = ut + (1/2)at^2. Plugging in the known values, s = (1/2) (2.7 m/s^2) (5.44 s)^2 = 60.16 m
To find the velocity of the automobile when it overtakes the truck, we can use the equation: v = u + at. Plugging in the known values, v = 0 + 2.7 (5.44 s) = 14.7 m/s
So, the automobile overtakes the truck 60.16m beyond its starting point and the automobile is traveling at 14.7m/s when it overtakes the truck.
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Ahemingway2948
01/11/2020
Physics
College
answered • expert verified
You throw a softball (of mass 300 g) straight up into the air. It reaches a maximum altitude of 10.1 m and then returns to you. What is the gravitational potential energy of the softball at its highest position? Assume the ball departed from and returned to ground level.
Assume no energy is lost by the softball while it is in the air. What is the kinetic energy of the softball as soon as it leaves your hand? Answer in units of J.
What is the kinetic energy of the softball when it returns to your hand? Answer in units of J.
What is the speed of the ball? Answer in units of m per s.
29.69 J is the gravitational potential energy of the softball at its highest position.
29.69 J is the kinetic energy of the softball when it returns to your hand.
14.069 m/s is the speed of the ball.
What is kinetic energy?The energy of motion, or kinetic energy, may be seen in the movement of an item or subatomic particle. Kinetic energy can be discovered in every moving object and particle. Kinetic energy is generated when anything moving, such as a person walking, a baseball rising through the air, a piece of food dropping from a table, or a charged particle in an electric field. The object's squared velocity determines the kinetic energy. As a result, an object's kinetic energy quadruples when its velocity doubles.
Kinetic energy is divided into five kinds radiative, thermal, sound, electrically, and mechanic.
given that,
mass of the ball = 300 g = 0.3 Kg
maximum altitude of the ball = 10.1 m
Potential energy of the softball:
P.E = mgh
P.E = 0.3 x 9.8 x 10.1
P.E = 29.69 J
Maximum kinetic energy at which the ball is released from hand to reach height of 10.1 m is 29.69 J.
Kinetic energy at which ball returns to your hand is equal to 29.69 J.
speed of the ball:
K.E = 1/2 mv²
or, 29.69 = 1/2 × 0.3 × v²
or, v² = 197.93
or, v = 14.069 m/s
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LINEAR DYNAMICS, WORK ENERGY & POWER, SYSTEM OF
(PARTICLES, CONSERVATION OF MOMENTUM
Okoro and Okafor weigh 70kg and 50kg respectively and push against each
other. If Okoro pushes Okafor by a force of 700N, Okafor has pushed Okoro
with.lumo)
loops to insnog
A. 500N
enA
B. 0
C. 700N
(noitutile
D. 250N
The principle of conservation of momentum states that if two objects collide, then the total momentum before and after the collision will be the same if there is no external force acting on the colliding objects.
What is the conservation of linear momentum?The conservation of linear momentum is a general law of physics which states that the overall momentum of a system is constant and that the quantity called momentum which characterises motion never changes in an isolated collection of objects.
For a system to have its momentum conserved, it must satisfy two conditions: During the interaction, the system's mass must not change. The objects may transmit mass to one another as they interact (apply forces to one another), but any mass one object gets is offset by the loss of that mass from another.
On the reasonable assumption that space is uniform—that is, that there is nothing in the rules of physics that prevents the conservation of linear momentum—the law of conservation of linear momentum is amply supported by experiment and can even be analytically inferred.
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Consider the falling object of mass 10 kg in Example 2,but assume now that the drag force is proportional to the square of the velocity.(a) If the limiting velocity is 49 m/s, show that the equation of motion can be written as dv/dt=[(49)2−v2]/245.Also see Problem 25 of Section 1.1.(b) Ifv(0)=0, find an expression for v(t )at any time.(c) Plot your solution from part (b) and the solution (26) from Example 2 on the same axes.(d) Based on your plots in part (c), compare the effect of a quadratic drag force with that of a linear drag force.(e) Find the distance x(t)that the object falls in time t.(f) Find the time T it takes the object to fall 300 m.
G = -9.81 m/s2 is the gravitational acceleration close to the earth. Simply multiply the acceleration of gravity by the length of time since anything was released to determine its speed (or velocity) after that period of time. Velocity is calculated as follows: V = gt = -9.81 m/s2 * time.
How do you find the velocity of an object falling down?Because of the gravitational attraction of the earth, an object falls faster as it descends. In close proximity to the earth, gravity accelerates at a rate of g = -9.81 m/s2. The acceleration of gravity is simply multiplied by the period of time since the object was released to determine the speed (or velocity) of the object. V = gt is the result of velocity being equal to -9.81 m/s2 * time. Just that the thing is traveling downwards is shown by the negative sign. It would be climbing the ladder if it were positive. Simply omit the negative sign if referring to velocity rather than speed.If you tossed the ball up or down rather than just letting go, you would have an initial velocity, thus you would also need to factor that into the calculation, giving you: Vo is the object's initial speed, and V equals Vo plus gt. The only difference is that this equation will only give you the up-down velocity, not the total velocity, if you tossed the ball to the side rather than straight up or down. The object's initial up-down velocity remains the value you should use for Vo.To Learn more About gravitational acceleration refer to:
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You are on the roof of the physics building, 46.0 m above the ground. Your physics professor, who is 1.80 tall, is walking along side the building at a constant speed of 1.20 m/s. If you wish to drop an egg on your professor's head, how far from the building should the professor be when you release the egg? Assume that the egg is in free fall.Take the free fall acceleration to be 9.80 m/s^2
The physics professor should be 3.60m far from the physics building for the egg to successfully fall on professor's head, assuming freefall motion of the egg and acceleration to be 9.80 m/s^2.
The height of the building = 46 m
The height of the professor = 1.80 m
The effective height for freefall of the egg = 46.00 - 1.80 = 44.2 m
As S = ug + 1/2a[tex]t^{2}[/tex]
44.2 = 0 + 1/2 × [tex]t^{2}[/tex] × 9.8
[tex]t^{2}[/tex] = (2 × 44.2) / 9.8
[tex]t^{2}[/tex] = [tex]\sqrt{9.02}[/tex]
[tex]t[/tex] = 3.003 s
Let the distance travelled by the professor be x
The time taken by the egg to fall is equal to the time taken by the professor to reach the building through distance x
Speed with which the professor is walking = 1.20 m/s
Now as Distance = Speed × Time,
x = 1.20 × 3.003
x = 3.6036 meters.
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A ball falls from height of 18.5 m, hits the floor, and rebounds vertically upward to height of 15.0 m. Assume that m = 0.360 kg. (a) What is the impulse (in kg. m/s) delivered to the ball by the floor? magnitude kg. m/s direction up (b) If the ball is in contact with the floor for 0.0400 seconds, what is the average force (in N) the floor exerts on the ball? magnitude direction up
(a) Impulse delivered to the ball by the floor is 3.8 kg.m/s, and direction is upward. (b) average force exerted on the ball by the floor is 95 N, and the direction is upward.
What is impulse?Amount of force applied for a certain amount of time to cause the change in momentum is called impulse.
(a) impulse delivered to ball by the floor is;
As, impulse = change in momentum = m(vf - vi)
where m is mass of the ball, vf is final velocity of the ball after the collision and vi is initial velocity of the ball before collision.
Since the ball falls from a height of 18.5 m and rebounds to a height of 15.0 m, we know that the final velocity of the ball is upward, and the initial velocity of the ball is downward.
final velocity ; vf = sqrt(2gh)
where g is acceleration due to gravity and h is height of the rebound.
initial velocity; vi = sqrt(2gh)
where g is acceleration due to gravity and h is height of the fall.
vf = sqrt(29.815) = 7.68 m/s
vi = sqrt(29.818.5) = -10.26 m/s (upwards)
So, impulse = m(vf - vi) = 0.360 kg * (7.68 m/s - (-10.26 m/s)) = 3.8 kg.m/s
The impulse delivered to the ball by the floor is 3.8 kg.m/s, and direction is upward.
(b) The average force exerted on the ball by the floor;
average force = impulse / time of contact = 3.8 kg.m/s / 0.0400 s = 95 N
direction of force is upward.
The average force exerted on the ball by the floor is 95 N, and the direction is upward.
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The most predominant direction from which the wind blows is from the Northeasteast (NEE,which is part of the northeast but nearer to the east side). The percentage of time that the windblows from this direction is about 36.5-37% of the time.
The NEE directional component is quite consistent throughout the year, with the exception of the summer months.
What is NEE direction?The wind direction from NEE is more frequent in the winter and spring, when cold air masses dominate the region.
The other predominant direction from which the wind blows is the Southwest (SW). The percentage of time that the wind blows from the SW is approximately 31%. The SW directional component is quite consistent throughout the year, and tends to be more frequent in the summer and fall months. This direction of wind is usually associated with warm air masses, which can bring rainfall and storms.
The remaining wind directions, from the North (N), South (S), East (E), and West (W), make up the remaining 32-33% of the time. These directions are usually associated with different weather patterns and are more variable throughout the year. For example, during the summer months, the N and S directional components will be higher than the E and W directional components.
The variability in wind direction throughout the year is caused by a combination of large-scale weather patterns and local terrain. The large-scale weather patterns that affect wind direction are the prevailing winds and global circulation patterns. Local terrain also plays a role, as some areas may have more of a particular direction of wind due to their location.
Overall, the NEE and SW directions are the most predominant wind directions in the region. Although the other four directions make up the remaining portion of the wind patterns, they are usually associated with different weather patterns and are more variable throughout the year.
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When you stand on a bathroom scale, the scale does not measure the force of gravity (i.e., weight) acting upon your mass. What does the scale measure?
The scale reading is actually a measure of the upward force applied by the scale to balance the downward force of gravity acting upon an object
What is a bathroom scale ?Scales measure weight, which is the force acting on a mass equal to the mass times the acceleration of gravity of the object. Due to the dependence of the weighing mechanism and the weight of any given object on the local gravity, a scale cannot accurately determine mass.
Although we use a scale to determine how much we weigh, the scale reading actually represents the upward force the scale applies to an object to counteract the downward force of gravity. These two forces are balanced when an object is in an equilibrium condition (whether it is at rest or moving at a constant speed).
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A 2 m long pendulum has a 100 g bob ties at one end and can oscillate freely.Don't forget to draw the diagrams FBDsa. Calculate the tension in the string in this equilibrium position when is is simply hanging. (Net force =0)The bob is moved to a side till the string makes an angle of 18 degrees with the vertical.b. Calculate the height to which the bob is raised (h=L(1-cos theta))c. Calculate the potential energy gained in the process PE=mghThe bob is now released to oscillate freely.d. Calculate the velocity with which the bob moves past the equilibrium position (v=sqrt(2gL))e. Calculate the tension in the string as bob moves past the equilibrium position (T-mg=mv2/r)
a. The tension in the string in the equilibrium position is 980 N.
In the equilibrium position, the bob is simply hanging and is not moving, so the net force on the bob is 0. The force acting on the bob is the tension in the string, which is equal to the weight of the bob (mg) in the opposite direction.
Therefore, the tension in the string in the equilibrium position is equal to the weight of the bob, which is [tex](100g)(9.8 m/s^2) = 980 N[/tex].
b. The height to which the bob is raised is 0.063 m.
It can be calculated using the equation h=L(1-cos theta).
Therefore, the angle theta is 18 degrees, so the height is (2m)(1-cos 18) = 0.063 m.
c. The potential energy gained in the process is 6.1 J
It can be calculated using the equation PE = mgh. The mass of the bob is 100g = 0.1 kg, the height is 0.063 m and the acceleration due to gravity is 9.8 m/s^2.
Therefore, the potential energy is [tex](0.1 kg)(9.8 m/s^2)(0.063 m)[/tex] = 6.1 J.
d. The velocity with which the bob moves past the equilibrium position is 4.5 m/s.
It can be calculated using the equation [tex]v = \sqrt{ (2gL)[/tex] The acceleration due to gravity is [tex]9.8 m/s^2[/tex] and the length of the pendulum is 2 m, so the velocity is [tex]\sqrt (2(9.8 m/s^2)(2m))[/tex] = 4.5 m/s.
e. The tension in the string as the bob moves past the equilibrium position is 24.7 N.
It can be calculated using the equation [tex]T - mg = mv^2/r[/tex]. The mass of the bob is 100g = 0.1 kg, the velocity is 4.5 m/s, and the radius is 2m, so the tension is [tex](0.1 kg)(4.5 m/s)^2/(2m) + (0.1 kg)(9.8 m/s^2)[/tex] = 24.7 N.
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A car travels at constant speed up a hill from point A to point B, as shown in the diagram below. As the car travels from A to B, its gravitational potential energy
answer choices
remains the same and its KE remains the same
increases and its KE decreases
remains the same and its KE decreases increases and its KE remains the same
A car travels at constant speed up a hill from point A to point B. As the car travels from A to B, its gravitational potential energy (b) increases and its KE decreases.
Gravitational potential energy:
If a mass (m) moves from infinity to a point within the gravitational influence of the source mass (M) without acceleration, then in transferring it to the source field. The amount of work done is stored in the form of potential energy. This is known as gravitational potential energy. It is denoted by the symbol Ug.
We know that the potential energy of an object at a position is defined as the energy stored in the object at that position. When the position of the body changes due to the influence of an external force, the change in potential energy equals the work done by the force on the body.
Under the action of gravity, the force is conservative because the work done is independent of the path of position change. Also, all these forces have potential. Since the effect of gravity on an object at infinity is zero, it has zero potential energy, which we call the reference point.
The equation for gravitational potential energy is:
GPE = m × g× h
where, m is the mass in kilograms
g is the acceleration due to gravity.
h is the height above the ground in meters.
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Macmillan Learning
The motion y(x, t) of a vibrating system is described by
y(x, t) = Aoe sin(kx - 2nft)
where x denotes a distance in meters and
denotes a time in seconds.
Denoting units with fractions using the "/" operator and units with products using the "*" operator, e.g., "1/kg" and "kg*s,"
what are the SI units of the quantity B?
what are the SI units of the quantity k?
what are the SI units of the quantity f?
units of ß:
units of k:
units of f:
When an object's location varies over time, it is said to be in motion. Motion is defined by the six variables displacement, distance, velocity, acceleration, time, and speed.
What exactly did you mean by "motion"?
Motion in physics changes over time depending on the location or orientation of a body. The action of travelling along a straight or curved line is known as translation. The term "rotation" refers to motion that changes the orientation of a body. The act or process of moving, or even the passage of a body from one point to another, is referred to as movement.
The act of moving one's body or any of its parts. 3. an intentional movement of the hand, gaze, etc.
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V2
V3- 31.00 V, 13= ?, R3= 20.00 Ohms
Solve for all the necessary parts of the circuit to answer the followin
question:
What is the current (13) which is flowing through resistor three?.
HELP PLEASE GIVING BRIANLEST
620V current I3, Electric circuits can be simple or sophisticated, but they all consist of the same three fundamental parts:
The Ohm's Law: How to Solve It?V = I*R is the equation for Ohm's Law. Voltage, or V, is an abbreviation for that term. In terms of amps, I stands for current. Ohms are the units used to measure resistance, or R.Electric circuits can be simple or sophisticated, but they all consist of the same three fundamental parts: wires that transport the current through the circuit; a device, like a lamp or motor, that uses the electricity to perform some type of work; and a power source, like a battery or generator.V = I*R is the equation for Ohm's Law. Voltage, or V, is an abbreviation for that term. In terms of amps, I stands for current. Ohms are the units used to measure resistance, or R.V = I * R = 31.00 * 20.00 = 620V.
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Problem 1. Which of the following expressions could be valid ways to calculate a distance in physics? Briefly explain why/why not for each. (Hint: Think about what kind of physical quantity each term is, and what units it carries.) (a) 2πd , where d is a position(b) x+Δr, where x is a distance and Δr is a position difference (c) x+y ^2, where x and y are both distances (d) x^2+y^2, where x and y are both distances (e) A+z, where A is an area and z is a distance (f) vΔt^2, where v is a velocity and Δts a time difference (g) aΔt^2, where a is an acceleration and Δt is a time difference
a, b,d, g are expressions could be valid ways to calculate a distance in physics.
In physics, what specifically is a physical quantity?A physical quantity is a feature or quality of an object that may be gauged or computed from other measures. The quantification of physical quantities is expressed and evaluated using standards called units. Four fundamental units can be put together to create any unit.
The physical quantity of expression:
2πd => where d is position
d has unit 'm'
=> hence, 2πd => unit 'm'
Therefore, we can us this expression to define distance.
Sqrt (x+y ^2) => x, y are distance=> unit 'm'
=> sqrt(m+m^2) => In total, this expression does not have unit 'm'. hence, we can't use this expression to define distance.
What are fundamental units of matter?The length, mass, time, electric current, temperature, amount of a substance, and luminous intensity are the seven fundamental physical units that constitute up the International System of Units (SI), which is used to express all physical quantities.
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Which of the following expressions could be valid ways to calculate a distance in physics? Briefly explain why/why not for each. (Hint: Think about what kind of physical quantity each term is, and what units it carries.)
(a) 2πd , where d is a position
(b) x+Δr, where x is a distance and Δr is a position difference
(c) Sqrt (x+y ^2), where x and y are both distances
(d) Sqrt( x^2+y^2), where x and y are both distances
(e) Sqrt(A+z), where A is an area and z is a distance
(f) vΔt^2, where v is a velocity and Δts a time difference
(g) aΔt^2, where a is an acceleration and Δt is a time difference
the correct, general definitions of velocity and acceleration, in terms of position vector ~r, are ~v
Velocity is a vector quantity that describes an object's change in position over time. The general definition of velocity is the derivative of the position vector ~r with respect to time, denoted as v = dr/dt. This means that velocity is the rate of change of position with respect to time. It is also a measure of how fast an object is moving in a particular direction.
Acceleration is another vector quantity that describes an object's change in velocity over time. The general definition of acceleration is the derivative of the velocity vector ~v with respect to time,
denoted as a = dv/dt. This means that acceleration is the rate of change of velocity with respect to time. It is also a measure of how quickly an object's velocity is changing.
In summary, velocity is a measure of how fast an object is moving in a particular direction, while the acceleration is a measure of how quickly an object's velocity is changing. Both are vector quantities and can be described in terms of position vector ~r.
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the expression indicates that under these specific conditions the work done on the particle depends on the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement.
The magnitude of the force is directly related to the amount of work done; the greater the force, the greater the amount of work done on the particle.
The scalar or dot productMathematically, this is expressed as:Work = Force × Displacement × cos (θ),where θ is the angle between the force and the displacement.When a force is applied to a particle, the work done on the particle is determined by a combination of the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement. The displacement is also directly related to the amount of work done; the greater the displacement, the greater the amount of work done on the particle. The angle between the direction of the force and the direction of the displacement is also related to the amount of work done; when the angle between the two is perpendicular, the amount of work done is maximised, while when the angle is parallel, the amount of work done is minimised. In conclusion, the amount of work done on a particle is determined by the magnitude of the force, the displacement of the particle, and the angle between the direction of the force and the direction of the displacement. The combination of these three factors must be taken into account when calculating the amount of work done on a particle.To learn more about the scalar or dot product refer to:
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Based on the data in the graph, which of the following represents the total electricity production in the United States from all energy sources, in billions of kilowatt-hours, in 2017?
3.8×1012kWh represents the total electricity production in the United States from all energy sources, in billions of kilowatt-hours, in 2017.
What is meant by electricity?
The collection of physical phenomena known as electricity are those that are connected to the presence and movement of matter that possesses an electric charge.Maxwell's equations describe the phenomenon of electromagnetism, which includes both magnetism and electricity as components.Lightning, static electricity, electric heating, electric discharges, and many other common phenomena have an electrical component.An electric field is created by the existence of an electric charge, which may be positive or negative.Electric current, which results from the movement of electric charges, also creates a magnetic field.A force will act on a charge when it is positioned in an area with an electric field that is not zero.To learn more about electricity refer to
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The diagram shows the electric field due to point charge Q. Which statements are correct? Check all that apply.The electric field is nonuniform.The electric field is uniform.Charge Q is negative.Charge Q is positive.If charge A moves toward charge Q, it must be a negative charge.If charge A moves toward charge Q, it must be a positive charge
The following are correct statements about the diagram that shows the electric field due to point charge Q:
The electric field is non-uniform.Charge Q is positive.What is electric field?The attraction and repulsion of electrical charges, which is what causes electric flow, create an electric field, which is an invisible force field and is measured in Volts per metre (V/m).
This question requires us to discuss what the electric field due to point charge Q is.
As a result, we can see that the electric field, which serves as the physical field that surrounds electrically-charged particles, has a nonuniform electric field and a positive charge Q.
As a result, in terms of the electric field caused by point charge Q;
The electric field is nonuniform.Charge Q is positive.Learn more about electric field
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Complete question:
The diagram shows the electric field due to point charge Q. Which statements are correct? Check all that apply.
The electric field is nonuniform.The electric field is uniform.Charge Q is negative.Charge Q is positive.If charge A moves toward charge Q, it must be a negative charge.If charge A moves toward charge Q, it must be a positive charge.you have been asked to design an experiment to show whether spaghetti cooks faster with or without salt in the cooking water. which of the following is the variable being tested?
The quantity of water used, the type of spaghetti used, and the intervals at which the spaghetti is checked to see if it is finished.
Water becomes harder due to the presence of calcium, magnesium, and iron(II) ions, which prevents soap solution from creating a lather. Students examine the impact of several dissolved salts, which comprise a variety of cations and anions, on the production of lather in this experiment. After that, they try to determine which ions are impeding lathering.
The students can work in pairs or bigger groups to complete this as a class project.
The first step for the students is to label eight test tubes. Alternatively, they can individually conduct an investigation using three or four more test tubes and distilled water, as long as they include at least one sodium or potassium salt and one calcium or magnesium salt.
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click on bar graph, and observe the kinetic energy bar as the skater goes back and forth. you can select slow motion below the track for a more accurate observation. where on the track is the skater's kinetic energy the greatest?
Kinetic energy reaches its peak at the track's lowest point as the skater goes back and forth.
What is kinetic energy?In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a given velocity. The body retains its kinetic energy after gaining it during acceleration unless its speed changes. Kinetic energy is the energy of motion, which can be seen as an object or subatomic particle moving. Kinetic energy exists in every moving object and particle. Kinetic energy is demonstrated by a person walking, a soaring baseball, a crumb falling from a table, and a charged particle in an electric field.
Here,
Kinetic energy peaks at the lowest point of the track as the skater goes back and forth.
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if the terminal side of an angle theta passes through the point (-6, -3) determine the numerical value of all six trig functions
The terminal side of an angle theta passes through the point (-6, -3) wherein x= -6 and y= -3
The six trigonometric functions of theta are as follows:
sin θ = y/r
cos θ = x/r
tan θ = y/x
cosec θ = r/y
sec θ = r/x
cot θ = x/y
wherein r= √(x^2+y^2)
Therefore, the equations become,
r= √((-6^2)+(-3^2)) = √36+9 = √45 = 6.708
hence, sin θ = (-3)/6.708 = -0.44
cos θ = (-6)/6.708 = -0.89
tan θ = (-3)/(-6) = 0.5
cosec θ = 6.708/(-3) = -2.236
sec θ= 6.708/(-6) = -1.118
cot θ = (-6)/(-3) = 2
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Answer:help
Explanation:i help
In an experiment to determine the viscosity of some oil, a ball is dropped into the oil. The position of the ball is given by the formula y(t)=A+Bt+Ce-Dt, where y is given in m, and t is the time in s. At t=0, y(0)= 0.07 m, the y-component of the velocity is zero and the y-component of the acceleration is ay(0)= 0.025 m/s^2
. As t approaches infinity, the y-component of the velocity approaches v(y) = 0.55 m/s. What is the viscosity?
The viscosity of the solution i.e. the value of D in the equation is 0.045 [tex]kgm^{-1} s^{-1}[/tex] or 0.045 newton-second per square meter.
At time t = 0,
y(t) = A + Bt + C[tex]e^{-Dt}[/tex]
0.07 = A + C (as t = 0 and power of zero gives unity)
y component of v at t = 0 => [tex]\frac{dy}{dt}[/tex] = 0
=> 0 + B + (-D) C[tex]e^{-Dt}[/tex] = 0
=> B - CD = 0
=> B = CD (as t = 0 and power of zero gives unity)
y component of acceleration a at t = 0 => [tex]\frac{dv}{dt}[/tex] = 0.025
=> 0 - (-D)CD[tex]e^{-Dt}[/tex] = 0.025
=> C[tex]D^{2}[/tex] = 0.025 (as t = 0 and power of zero gives unity)
At time = ∞
y component of velocity v => 0 + B + (-D) C[tex]e^{-Dt}[/tex] = 0.55
=> B = 0.55 (as t = ∞ and power of ∞ gives 0)
Now, using B = 0.55, CD = 0.55
As C[tex]D^{2}[/tex] = 0.025 => 0.55 × [tex]D[/tex] = 0.025
=> [tex]D[/tex] = 25 / 550 = 0.045
Hence, the viscosity of the solution is 0.045 [tex]kgm^{-1} s^{-1}[/tex] or 0.045 newton-second per square meter.
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micah is cooking a pork roast for his family. he wants to be sure the pork roast has an internal temperature of at least 145 degrees fahrenheit. he uses a thermometer to measure the internal temperature at three randomly chosen places. the minimum reading in the sample is 152 degrees fahrenheit. identify the population, the parameter, the sample, and the statistic. population, minimum temperature of 145 degrees fahrenheit; parameter, all pork temperature readings; sample, three random
The population in this particular problem is the pork roast. The parameter on which the population is being evaluated is 142 degrees Fahrenheit. The sample is the three random places in the pork roast where the temperature was checked. The statistic is 152 degrees Fahrenheit, which was the minimum temperature recorded during sampling.
1. The population is the object or group on which the evaluation is being done. In this scenario, the population is the pork roast.
2. Parameter is a bar which is set for measuring a feature in the population. In this problem, Micah wants the pork roast, i.e., the population, to have a minimum temperature of 142 degrees Fahrenheit.
3. A sample is chosen at random from a given population to check if the parameter matches. In this problem, Micah checked the temperature of the pork roast at three random places to deduce the average temperature of the population.
4. The statistic is the actual measurement of the sample which is compared to the parameter. In this case, the statistic would be the average minimum temperature of 152 degrees Fahrenheit.
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what is the direction of the electric force on the charge at the bottom left-hand vertex of the triangle due to the other two charges? caution: there are two vectors in each quadrant. compare their relative orientations.
The direction of the electric force on the charge at the bottom left-hand vertex of the triangle due to the other two charges (k * q 2)/(a 2)
What is the direction of the electric force?The amount of the charge at the triangle's top vertex, which is responsible for the charge at the bottom left corner, will act along the +ve x-axis and the +ve y-axis.
According to Coulomb's law, the forces acting on the charge at the triangle's top vertex are cos 60 and the forces acting on the charge at the bottom-left corner are
Since they resist one another, the amount of the charge caused by the charge in the bottom-right corner will only affect the -ve x-axis (like charges repel). There is a magnitude.
The top charge makes a 60° angle with the charge that we're thinking about.
F x = (k * q 2)/(a 2) * cos 60 represents the overall force acting on the charge along the x-axis.
The two x-axis forces and the y-axis force share some elements in common.
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For each of the cases described below, draw the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.
A car is accelerating from 55 km/h to 70 km/h as it rounds a curve of constant radius... Draw the vectors sstarting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
A car is going a constant 65 km/h as it rounds a curve of a constant radius... Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
A car slows down while rounding a curve of constant radius... Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
The circle's center is where the acceleration is pointed radially.
What is acceleration?The square of the body's speed along the wind divided by the radius (r) from the circle's center to the moving body gives rise to the centripetal acceleration, or a(centripetal), whose magnitude is equal to that.The total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.v 2/r = a(centripetal).The equation for tangential acceleration is a(tangential) = r, where r is the circle's compass and is the angular acceleration. It comes from the fact that the bow length is equal to the circle's compass times the angle in radians.The circle's center is where the acceleration is pointed radially.To learn more about acceleration refer to:
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For a given fluid at a given temperature, we plot the shear stress vs the shear strain rate. The slope of the resulting line can be referred to as the ____________ (one word).
Choose matching definition
O viscosity
O solubility
O density
O water
The slope of the resulting line can be referred to as the viscosity.
What is mean by viscosity? Viscosity is a measure of a fluid's resistance to flow. It is a property of a fluid that describes how easily it can be moved or stretched. It is a measure of how thick a liquid is and how easily it can be poured or mixed. Viscosity is measured in units such as centipoise (cP), poise (P), or centistokes (cSt). The higher the viscosity of a fluid, the slower it flows. Viscosity can be affected by temperature, pressure, and other factors. For example, temperature can increase the fluid's viscosity, while pressure can decrease it. Viscosity is an important factor in many engineering and industrial processes, such as oil drilling, automotive lubrication, and paint applications. It affects the performance of engines, pumps, and other machinery. It is also important in the design of vessels and pipelines, and it affects the flow of fluids through them. Knowing the viscosity of fluids is essential for successful operation of these systems.To learn more about viscosity refer to:
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Which of the following light sources is the most efficient?
A. incandescent B. LED C. fluorescent D. sodium vapor
LED (light-emitting diοde) lights are the mοst efficient of the options given.
What is light emitting diode?LED (light-emitting diοde) lights are the mοst efficient type of light source. They use less energy, last longer, produce less heat and are more durable than οther types of lights like incandescent, fluorescent, and sodium vapor lights.
They are also more energy-efficient and ecο-friendly.
They use less energy than incandescent and fluοrescent lights.
They have a lοnger lifespan than incandescent and fluorescent lights.
They produce less heat than incandescent and fluοrescent lights.
They are more durable and mοre resistant to breakage than incandescent and fluοrescent lights.
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A force can change an object's___energy by changing its motion or its position. Question options: a. electromagnetic b. mechanical c. potential d. kinetic
Answer:
(d) Kinetic Energy
Explanation:
Applying a force requires us to do work. After work has been done on the body, energy used by us to do work is transferred to the object, and the object will be moving with a new constant speed. The energy transferred is known as kinetic energy, and it depends on the mass and speed achieved.
solve the question below
The velocity of the barium atom moving forward relative to the tube is 2.35 x 10^5 m/s and the velocity of the krypton atom relative to the containing tube is -2.35 x 10^5 m/s.
What is the velocity of the krypton atom (Kr) relative to the barium atom after separation?The velocity of the krypton atom (Kr) relative to the barium atom after separation is 2.35 x 10^5 ms^-1. This is the velocity at which the krypton atom is expected to move directly backwards after being separated from the auranium atom. It is important to note that this velocity is relative to the barium atom, and not the containing tube. To find the velocity of the krypton atom relative to the containing tube, we would need to take into account the initial velocity of the auranium atom and the mass ratios of the elements involved.
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A sperm whale can accelerate at about 0.100 m/s2 when swimming on the surface of the ocean. How far will a sperm whale travel if it starts at a speed of 1.10 m/s and accelerates to a speed of 2.44 m/s? Assume the whale travels in a straight line.
The distance traveled by the sperm whale traveling at an initial speed of 1.10m/s to 2.44m/s is 23.7m.
How to calculate distance?The distance traveled by the sperm whale can be estimated using one of the equations of motion as follows:
v² = u² + 2as
Where;
v = final velocityu = initial velocitya = accelerations = distanceAccording to this question, a sperm whale can accelerate at about 0.100 m/s² when swimming on the surface of the ocean. The distance traveled by the whale can be calculated as follows:
2.44² = 1.10² + 2(0.10)(s)
5.95 = 1.21 + 0.2s
4.74 = 0.2s
s = 23.7m
Therefore, 23.7m is the distance of the sperm whale.
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We will start by choosing a good research DESIGN. From the following options, which one would be best for testing whether our memory is accurate?
Case Study design
Correlational design
Experimental design
The best design for testing whether memory is accurate would be option C: Experimental design.
What is Experimental design?An experimental design allows the researcher to manipulate one or more independent variables and observe the effect on a dependent variable, in this case, memory accuracy.
This type of design allows for a cause-and-effect relationship to be established, as the manipulation of the independent variable is the only reason for the change in the dependent variable. This design also allows the researcher to control for extraneous variables that could affect the results.
In conclusion, an experimental design is the best option for testing whether memory is accurate as it allows for a cause-and-effect relationship to be established, allows the researcher to control for extraneous variables and allows for generalizing the findings to a larger population.
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