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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A +38 C point charge is placed 36 cm from an identical
+38 uC charge. A
- 1.5 C charge is moved from point A
to point B as shown in Fig. 17-47. What is the change in potential energy?
Charge multiplied by potential difference equals the decrease in potential energy (equation 20-2). The gain in thermal energy reflects the gain in potential energy, and this can be used to calculate the speed.
What causes a shift in potential energy?Potential Energy depletes in the direction of the gravitational force, which is the conservative force operating on the body in this instance. As a result of the fact that gravity always pulls something downward, a body's potential energy increases when it rises and decreases when it falls.
In simple terms, what is potential energy?This energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height below (or below) the zero height, it has gravitational potential energy.
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As a result of an external interference, a voltage is induced in the signal S traveling on the PROFIBUS DP bus,
which increases the voltage pulse of the bits traveling in wires A and B by +0.5 V. How does the interference
appear in the voltage of the bits read by the receiver? Justify your answer.
The interference will cause the voltage of the bits read by the receiver to be shifted by +0.5V.
What is voltage?Generally, This is because the induced voltage will add to the original signal voltage, resulting in an overall increase in the voltage level of the bits traveling on wires A and B.
This shift in voltage can potentially cause errors in the signal being received, as the receiver may interpret the higher voltage levels as a different signal or data bit.
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In 1992, Ukrainian Sergei Bubka used a short pole to jump to a height of 6.13 m. If the maximum potential energy associated with Bubka was 4.80 kJ at the midpoint of his jump, what was his mass?
Ukrainian Sergei Bubka mass is 79.8 kJ t the midpoint of his jump.
What is mass?
Mass can be experimentally defined as a measure of the body's inertia, meaning the resistance to acceleration (change of velocity) when a net force is applied.
h=6.13 meters
mg=9.81 m/s2
PEg= 4.80 ×10^3J
The mas is Unknown=
We will Use the equation for gravitational potential energy, and rearrange it to solve for mass
Therefore PEg = mgh
mass = PEg / gh
mass = 4.80 ×10^3 / 9.81 x 6.13
mass = 79.8 kJ
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A student investigated heat transfer using a bottle of water. The student placed the bottle in a room at 20.5DC. The student measured the temperature of the water in the bottle at 7 a.m. and again at 3 p.m. The data from the investigation are shown in the table below.Compare the average kinetic energy of the water molecules in the bottle at 7 a.m. to the average kinetic energy of the water molecules in the bottle at 3 p.m.
The molecule were increased in kinetic energy but in a random structure. Thus, option 2 is correct.
Which of the seven types of energy can be seen in practice?Energy can take many different forms. Some examples of these are: nuclear and atomic energy, thermal energy, energy of motion, gravitational energy, electrical energy, elastic energy, fuel cells, and so on.
What kinds of real-world uses are there for thermal energy?Things are heated, water is boiled, eggs are fried, and metal is melted for automobile construction. Heat is converted into electricity at a thermal power plant, which powers our daily activities. The term "temperature" refers to the degree to which something is hot or cold. The temperature is measured in degrees Celsius.
Given:
At 3 p.m., the water temperature is raised.
The average kinetic energy of an object is proportional to its temperature. As a result, as temperature rises, so does average kinetic energy. Kinetic energy is caused by the random movement of molecules.
Correct answer: The kinetic energy of the molecule was increased, but in a random structure.
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Complete question:
5.19 block a in fig. 8.32 has mass 1,00 kg, and block bla, block a? b) how much potential energy was stored in the
When blocks are forced together, they compress a massless spring between them, storing 0.75 J of potential energy in the process.
What is potential energy?Potential energy in physics is the energy that an object retains as a result of its position in relation to other objects, internal stresses, electric charge, or other elements. Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
Here,
let velocity of A be uf.
Maui+Mbvi=Mauf+Mbvb
0=1*uf+2*0.5
uf=-1 m/s
PE=ΔKE
=1/2*Ma*uf²+1/2*Mb*vf²
=1/2*1*1²+1/2*2*0.5²
PE=0.75 J
When blocks are forced together, a massless spring between them is compressed, storing 0.75 J of potential energy.
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complete question:
Block A in the figure has a mass of 1 kg and block B has a mass of 2 kg. The blocks are forced together compressing a mass-less spring between them and the system is released from rest on a level friction less surface. The spring is not fastened to either of the blocks, when spring regains its natural length, block B acquired a speed of 0.5 m/s. How much potential energy was stored in the compressed spring?
A car in stop-and-go traffic starts at rest, moves forward 22 m in 8.0 s, then comes to rest again. The velocity-versus-time plot for this car is given in the figure.
a. What distance does the car cover in the first 4.0 seconds of its motion?
b. What distance does the car cover in the last 2.0 seconds of its motion?
c. What is the constant speed V that characterizes the middle portion of its motion?
a. In the first 4.0 seconds of its motion, the car is accelerating from rest to a certain velocity. From the velocity-versus-time graph, we can see that the velocity increases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the first 4.0 seconds.
In this case, the initial velocity is 0 m/s and the final velocity is V, where V is the velocity after 4.0 s. Therefore, the distance covered by the car in the first 4.0 seconds is (0 + V) / 2 * 4 = 2V * 4.
b. In the last 2.0 seconds of its motion, the car is decelerating from a certain velocity to come to rest again. From the velocity-versus-time graph, we can see that the velocity decreases linearly with time. Therefore, we can use the equation: distance = (initial velocity + final velocity) / 2 * time to calculate the distance covered by the car in the last 2.0 seconds.
In this case, the initial velocity is V, where V is the velocity before 2.0 s and the final velocity is 0 m/s. Therefore, the distance covered by the car in the last 2.0 seconds is (V + 0) / 2 * 2 = V * 2
c. The middle portion of the car's motion corresponds to the constant velocity segment of the graph. From the graph, we can see that the velocity is a constant value for the middle portion of the motion. Therefore, we can read the value of V from the graph, it is the slope of the line from the graph, which is 22/8 = 2.75 m/s.
at the county fair, chris throws a 0.12 kg baseball at a 2.4 kg wooden milk bottle, hoping to knock it off its stand and win a prize. the ball bounces straight back at 10 % of its incoming speed, knocking the bottle straight forward.
The bottle's speed, as a percentage of the ball's incoming speed hence 6.5% Initial=Final The left side of Initial is and the right side of Final m1v1+m2v2= 0.065
What is the beginning?the name's initial letter. initials plural: each word's first letter in a whole name. discovered that they shared the same initials: a capital letter that starts a sentence, paragraph, or division.The ball weighs 0.12 kilogram.
m1= 0.12 kg Ball
m2= 2.4 kg Wooden Bottle
Initial=Final ( no impulse going on) Initial is the left side and Final the right side
m1v1+m2v2= - m1v1+m2v2 (negative the final m1v1 because it goes contrary as it bounces back)
Your equation should look:
0.12kg(v1)+0 (bottle was on rest)= -0.12(0.3)v1+ 2.4kgv2
0.12kgv1 + 0.036v1=2.4kgV2
0.156V1=2.4kgV2
0.065=(v2/v1)
hence 6.5%
Is it okay to use my last name's initial?Your family is known by your last name. It is also known as "last name." When completing applications, type your last name exactly as it appears on your identity or travel document. Use only full names.
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The correct question is
At the county fair, Chris throws a 0.12kg baseball at a 2.4kg wooden milk bottle, hoping to knock it off its stand and win a prize. The ball bounces straight back at 30% of its incoming speed, knocking the bottle straight forward.
What is the bottle's speed, as a percentage of the ball's incoming speed?
Express your answer using two significant figures.
For the following exercises, find the measure of the angle between the three-dimensional vectors a and b. Express the answer in radians rounded to two decimal places, if it is not possible to express it exactly.a = 3i - j - 2k, b = v + wwherev = -2i - 3j + 2k and w = i +2k
The measure of the angle between three-dimensional vectors a and b; θ = acos(-0.5235) = 2.0463 radians, rounded to two decimal places.
What is meant by vectors?In physics, vector is that quantity that has both direction and magnitude.
As, cos(θ) = (a · b) / (||a|| * ||b||)
Given, a = 3i - j - 2k, b = v + w where v = -2i - 3j + 2k and w = i +2k
So, a · b = (3i - j - 2k) · (v + w) = (3i - j - 2k) · (-2i - 3j + 2k + i + 2k)
a · b = (3i - j - 2k) · (-2i - 3j + 2k + i + 2k) = (-6i^2 + ji - 4ik) + (-3j - 2k + i + 2k) = -6 + 1 - 4 + (-3 - 2 + 1 + 2) = -4
||a|| = sqrt((3i - j - 2k) · (3i - j - 2k)) = sqrt(9 + 1 + 4) = sqrt(14) = 3.74166
||b|| = sqrt((v + w) · (v + w)) = sqrt((-2i - 3j + 2k + i + 2k) · (-2i - 3j + 2k + i + 2k)) = sqrt((-2i - 3j + 2k + i + 2k) · (-2i - 3j + 2k + i + 2k)) = sqrt((-4 - 6 + 4 + 1 + 4)) = sqrt(9) = 3
cos(θ) = (a · b) / (||a|| * ||b||) = -4 / (3.74166 * 3) = -0.5235
Hence, θ = acos(-0.5235) = 2.0463 radians, rounded to two decimal places.
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You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (11.0 - 0.2) cm, x2 = (6.2 +0.4) cm, and x3 = (16.3 + 0.2). What is the uncertainty of the total distance x1 + x2 + x3? 0.5 cm O 0.7 cm 0.8 cm 0.9 cm O 0.6 cm
The uncertainty of the total distance is 0.8 cm. It applies to physical measurements that have previously been performed, to the unknown, and to projections of future events.
What causes measurement uncertainty?No matter how precise or accurate a measurement is, there is some degree of uncertainty. This is due to two things: the measurement tool's limitations (systematic error) and the experimenter's measurement expertise (random error).
How do you determine a measurement's level of uncertainty?The uncertainty of a measurement is often calculated by taking one-half the unit of the last decimal point in the measurement.
What significance does measurement uncertainty have?For risk analysis and decision-making, the capacity to measure uncertainty is crucial. Businesses make decisions every day using reports with information from quantitative measurements. Inaccurate measuring data raise decision-risks. The wrong supplier selection may result in subpar product quality.
Given:
x1 = (11.0 - 0.2) cm
x2 = (6.2 +0.4) cm
x3 = (16.3 + 0.2)
Uncertainty of the total distance x1 + x2 + x3 = 0.2+0.4+0.2
Uncertainty of the total distance x1 + x2 + x3 = 0.8
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The driver of a 1.00 x 10^3 kg car traveling on the interstate at 35.0 m/s (nearly 80.0 mph) slams on his brakes to avoid hitting a second vehicle in front of him, which had come to rest because of congestion ahead. After the brakes are applied, a constant kinetic friction force of magnitude 8.00 x 10^3 N acts on the car. Ignore air resistance.At what minimum distance should the brakes be applied to avoid a collision with the other vehicle?
76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle. This can be solved using the concept of work-energy theorem.
What is work-energy theorem?The net work performed by forces acting on an object equals the change in kinetic energy, according to the work-energy theorem.
The Work-Energy theorem is used in that it is highly helpful in assessing scenarios where a stiff body should move under several forces. Due to its rigid structure, a rigid body can only have kinetic energy and cannot store potential energy in its lattice. The work-energy theorem may be able to offer some insight into the forces when an object's motion is known but the magnitudes of one or more of the forces acting on it are unknown. The work-energy theorem is valid both for constant and variable forces.
Given that,
mass (m) = 1.00 x 10³ kg
velocity(v) = 35.0 m/s
force (f) = 8000 N
As we know from work-energy theorem,
Δk = w
⇒ 1/2 mv² = f × d
⇒ d = mv² / (f × 2)
⇒ d = [1.00 x 10³ kg × (35.0 m/s)²] / (8000 N × 2)
⇒ d = 76.56 m
76.56 m minimum distance should the brakes be applied to avoid a collision with the other vehicle.
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Compare the tension in the coupling between the first two cars of a train with the tension in the coupling between the last two cars when (a) the train's speed is constant and (b) the train is accelerating.
The tension between the cars when the train's speed is constant will be zero and when the train is accelerating then there will be more tension between first two cars than last two.
The coupling's tension T is equal to the force is used against it. It moves in the opposite direction of the force being applied. The acceleration will be 0 while the train is running at constant speed. Thus, there is tension at the value of the two specified cars will be zero.
The link between the vehicles feels tension as the train accelerates. Assume the train has n number of cars for the sake of clarity. T1 and T2 refer to the tension at the first two and last two cars, respectively.
Let m represent the car's mass. Due to its need to draw the (n-11) masses, the coupling between the first two vehicles is under the most strain. Consequently, there is tension on the coupling between first two vehicles are,
T₁= (n-1)ma
However, because they are only required to pull the final two cars, there is no friction between them. Hence,
T= ma
As a result, there is more tension between the first two cars than the last two.
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if a child of mass 40.2 kg sits in a seat, what is the tension in the chain (for the same angle)? answer in units of n.
The tension in the chain is the force acting on the child which is 394.76N.
What is tension the chain and calculate it?
The tension in the chain is equal to the force acting on the child in the seat. This force is equal to the child's weight, which is the force of gravity acting on the child's mass.
The weight of an object can be calculated using the formula:
Weight = mass x gravity
where mass is measured in kilograms and gravity is measured in meters per second squared. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
So, for a child with a mass of 40.2 kg, the weight would be:
Weight = 40.2 kg x 9.8 m/s^2 = 394.76 N
The tension in the chain is the force acting on the child which is 394.76N. However, it's important to note that this tension is in the direction of the force of gravity, which is downwards.
If the angle of the chain is different from the vertical direction, the tension in the chain will be affected by the angle and the force of gravity.
In this case, you would need the angle to determine the tension in the chain.
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click on the button with two coils in it in the lower part of the window. the circuit should now have two sets of coils. place the bar magnet inside the coil containing two loops. try to find a location where the stationary magnet induces a current in the coil and causes the light bulb to shine. which of the following is correct? a) The light bulb shines due to an induced current if the magnet is inside the coil.
b) There is no induced current in the coil, so the light bulb does not shine, if the magnet is stationary (for any location of the magnet).
c) The light bulb shines due to an induced current if one pole of the magnet is near the middle of the coil.
The size of this induced voltage is related to the speed or velocity of the movement, which causes a coil or loop of wire to experience a voltage as a result of moving it through a magnetic field.
Does the voltage change depending on how quickly you move the magnet inside the coils? An Moving Magnet's Electromagnetic Induction.The size of this induced voltage is related to the speed or velocity of the movement, which causes a coil or loop of wire to experience a voltage as a result of moving it through a magnetic field.The total induced emf rises with the number of loops added, increasing the amount of current flowing through the bulb and resulting in a brighter illumination.The button with the bar magnet and two semicircular arrows on the bottom right can be clicked to change the polarity of the bar magnet.Alternating current is created if the coil or magnet is repeatedly pushed back and forth.To learn more about magnetic field refer
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Along which of the lines (A to H) in (Figure 2) should charge 3 be placed so that the free-body diagrams of charge 1, charge 2, and charge 3 are consistent?
Line F should charge 3 be placed so that the free-body diagrams of charge 1, charge 2, and charge 3 are consistent.
What is free-body diagrams?
Free-body diagrams (FBDs) are a type of graphical representation used in engineering and physics to show the equilibrium of forces acting on a body or system. They are used to illustrate the components of a force and the sum of the forces acting on a body. They help to analyze the forces acting on a body in a given situation.
FBDs are a helpful tool for visualizing the magnitude and direction of each force acting on an object, and for determining the net force and the resulting motion of the object. FBDs depict the individual forces acting on a body, including external forces, weight, friction, and tension.
They also enable engineers to calculate the forces acting on an object, such as the forces acting on a beam or a structure, in order to design and build systems such as bridges, buildings, and machines.
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Complete question:
Please help with B I don’t understand why you have to switch it round!!!
Answer:
W = 90 kg* 9.8 m/s^2 = 882 N apparent weight of stretcher and occupant
F = M a straightforward application of Newton's Second Law
F = (940.5 - 882) a
a = .65 m/s^2 acceleration of stretcher and occupant
geologymagnetic reversals of the earth's magnetic field are when the earth's magnetic poles change direction
Geologymagnetic reversals of the earth's magnetic field are when the earth's magnetic poles change direction: False.
What is geomagnetic reversal?Change in a planet's magnetic field such that the positions of magnetic north and magnetic south are interchanged is called a geomagnetic reversal.
During an excursion or a reversal, magnetic field is considerably weakened and allows many cosmic rays to reach the surface of the planet. These energetic particles from space can be damaging to life on Earth if too many of them reach the surface.
Without magnetic field around the Earth, life could not exist on the planet. Solar radiation would strip away the atmosphere.
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A 150 g ball is dropped from a height of 2.2 m , bounces on a hard floor, and rebounds to a height of 1.5 m . The figure(Figure 1) shows the impulse received from the floor. What maximum force does the floor exert on the ball? Express your answer to two significant figures and include the appropriate units. (5.0 ms as indicated by graph)
The maximum force in the floor exert on the ball is 60N.
What is maximum force?Maximum force is the amount of force that can be applied to an object before it breaks or fails. Maximum force is often referred to as the breaking strength or ultimate strength of an object. The maximum force can vary depending on the material, shape, size, and other factors. For example, the maximum force that a steel beam can withstand before failing may be much greater than the maximum force that a piece of paper can withstand. As such, the maximum force applied to an object must always be considered when designing, constructing, and using any material. Generally speaking, maximum force is measured in newtons or pounds, and is determined by various tests such as tension, compression, and shear tests. Ultimately, the maximum force that can be applied to an object is dependent on the material and its application, so it is important to be aware of the maximum force before using any material.Step 1: Calculate the change in momentum of the ball when it collides with the floor.
Step 2: Recall the impulse-momentum theorem, which states that the impulse imparted by an applied force is equal to the change in momentum of an object.
Step 3: Use the impulse-momentum theorem to calculate the force exerted by the floor on the ball.
Step 4: The force exerted by the floor on the ball can be calculated as follows:
Force = Impulse / Time = (150 g * (2.2 m - 1.5 m)) / (5.0 ms) = 60 N
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At which of the following locations in the nuclear power plant would an accident most likely result in the release of fission products? The reactor vessel holds the uranium fuel that is undergoing fission reactions that result in heat production.
A nuclear accident would most likely result in the release of fission products from the containment building, which is designed to contain radiation from a nuclear accident.
What is radiation?Radiation is the emission or transmission of energy in the form of electromagnetic waves (such as gamma rays and X-rays), particles (such as alpha particles and beta particles), or acoustic waves (such as ultrasound). Radiation is a form of energy that is all around us, in the air we breathe, the food and water we consume, and even in our own bodies. Different types of radiation have different properties and effects on living organisms. Types of radiation include ionizing radiation, which can cause cell damage and can be hazardous to living organisms, and non-ionizing radiation, which is generally considered harmless.
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Which of the following statements are true of the horizontal motion of a projectile? Select all that apply.-the horizontal velocity is a constant value.
-the horizontal acceleration is o m/s^2.
-there are no horizontal forces acting upon the object.
The horizontal velocity of a projectile with a horizontal component of motion will never change. At the top of its trajectory, a projectile's horizontal velocity is zero meters per second.
What does motion imply? Simply put?
Motion is the slow, long-term shift in an object's location. Motion is defined in terms of displacement, distance, momentum, acceleration, time, and speed. Motion can be experienced while walking, cycling, leaping, bathing, eating, drinking, playing, typing, watching moving cars, and tossing a ball.
Why is movement important to your well-being?
Motionless is death. As much as it needs food, water, or air, your body needs movement. It provides the brain with the essential nutrients it needs to be stimulated (known as proprioception).
The vertical and horizontal velocities of a projectile are independent of one another; the horizontal velocity is unaffected by the vertical velocity.
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A hydrogen nucleus, which has a charge e, is situated to the left of a carbon nucleus which has a charge 6e. Which statement is true? A) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the carbon nucleus. B) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is greater than the force exerted on the carbon nucleus. C) The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is less than the force exerted on the carbon nucleus. D) The electrical force experienced by the hydrogen nucleus is to the right, and the magnitude is equal to the force exerted on the carbon nucleus
The electrical force experienced by the hydrogen nucleus is to the left, and the magnitude is equal to the force exerted on the carbon nucleus has a charge e, is situated to the left of a carbon nucleus which has a charge 6e. In this case, Option A is correct
What is a force, according to physics?
The correct statement is that the electrical force acting on the hydrogen nucleus to the left is equal in strength to the force acting on the carbon nucleus.Physics states that a force is a pulling motion that modifies an object's velocity. A force that has the ability to change a body's resting or motion state is known as an external force. It has a magnitude and a vector.Items are drawn toward the center of a moon or other entity by a force.To know more about Force visit:
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A series rl circuit is connected to a 110-v ac source. if the voltage across the resistor is 85 v, find the voltage across the inductor.
The voltage across the inductor is 69.82V
In an RL series circuit connected to an AC source, the voltage across the resistor and the voltage across the inductor are in phase with each other.
This means that the voltage across the resistor and the voltage across the inductor will have the same frequency and will be in the same phase. Since we know the voltage across the resistor is 85 V, the remaining voltage must be across the inductor.
The voltage across the inductor is equal to the total voltage from the AC source minus the voltage across the resistor, so the voltage across the inductor is
110V = [tex]\sqrt{VR2^{2}+VL2^{2} } \\\sqrt{85V^{2}+VL2^{2} } \\V_{L2} = \sqrt{110V^{2}- 85V^{2} } = 69.82V[/tex]
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What is the radius of a hemisphere with a volume of 61326 ft^3
, to the nearest tenth of a foot?
The radius of a hemisphere with a volume of 61326 ft^3 , to the nearest tenth of a foot is 30.827 f.
The volume of a sphere with radius R is known to be:
V = (4/3)*pi*R^3
in where pi = 3.14
A hemisphere is half a sphere, its volume is half that of a sphere, and its volume is as follows for a hemisphere of radius R:
V' = (1/2)*(4/3)*pi*R^3
Now that we are aware of the volume of our hemisphere:
V' = 61326 ft^3
The equation is then easy to solve:
61326 ft^3 = (1/2)*(4/3)*pi*R^3
For R.
(We need the diameter, but knowing the radius is a good place to start because the diameter is equal to two times the radius.)
61326 ft^3 = (1/2)*(4/3)*pi*R^3
61326 ft^3 = (4/6)
*3.14*R^3
61326 ft^3*(6/4*3.14) = R^3
∛( 61326 ft^3*(6/4*3.14) ) = R = 30.827 f
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A 22.5 kg person climbs up a uniform ladder with negligible mass. The upper end of the ladder rests on a frictionless wall. The bottom of the ladder rests on a floor with a rough surface where the coefficient of static friction is 0.11. The angle between the horizontal and the ladder is θ . The person wants to climb up the ladder a distance of 0.65 m along the ladder from the ladder’s foot.
What is the minimum angle θmin (between the horizontal and the ladder) so that the person can reach a distance of 0.65 m without having the ladder slip?
The acceleration of gravity is 9.8 m/s².
Answer in units of °.
Answer:
62°
Explanation:
Variables:
x=0.65m (distance up ladder)
L=2.5m (ladder length)
m = 22.5kg (mass)
g = 9.8 (gravity)
μ = 0.11 (static friction)
N = Normal Force (Weight in this context)
Formulas:
Weight(W)=mg
Friction Force(F)=μN
Torque(T)= [tex]Frsin[/tex]θ
Substitute Force and length in each torque we're calculating
[tex]T_{counterclockwise} =[/tex] (μN)*L*sinθ
[tex]T_{clockwise} =[/tex] mg*x*cosθ
They need to be equal:
[tex]T_{counterclockwise} = T_{clockwise}[/tex]
(μN)*L*sinθ = mg*x*cosθ
[tex]\frac{sin}{cos}=tan[/tex]
tanθ= (mg*x) / (μ*N*L)
Since W=mg=N, they cancel out.
tanθ= (x) / (μ*L)
Inverse tangent
θ= [tex]tan^{-1}[/tex](x / (μ*L))
Plug in variable:
θ= [tex]tan^{-1}[/tex](0.65 / (0.11*2.5))
θ= [tex]tan^{-1}[/tex](2.3636)
θ= 62.0676° ≈ 62°
Hope this helps ;)
The type of galaxy that consists almost entirely of old stars and is thus less blue (more yellow and reddish) than the other types is:a.) elliptical
b.) barred spiral
c.) all of the above consist almost entirely of old stars
d.) spiral
e.) irregular
The type of galaxy that consists almost entirely of old stars and is thus less blue than the other types is: a.) elliptical.
What do you understand by galaxy?Galaxy is a sprawling space system that is composed of stars, dust, interstellar gas, stellar remnants and dark matter. They are all held together by gravity and the word 'Galaxy' is termed from the Greek word 'galaxies'. Their appearance and composition are shaped over billions of years by interactions with the groups of stars and other galaxies.
Recent studies of dynamics of galaxies confirm fundamental inference made 25 years ago from studies of the kinematics of stars within galaxies: on scales larger than galactic nuclei, dominant physical interaction is gravity.
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C. propan-1-one D. pentan-1-ol Question 2 ceiling -↑ 1,8 m 3,5 m mais (2) [12] A girl stands on a table in a classroom. She throws a ball of 0.2 kg vertically downwards to the floor hoping that the ball, after it bounced on the floor, will hit the the classroom. of She throws the ball with a velocity of 8 m.s-1 from a height of 1,8 m above the floor. Ignore the effects of friction. Write down the magnitude and direction of the acceleration of the ball immediately after ball left her hand. ( Is the ball in free fall while it moves downwards? Answer YES or NO and give an explana for the answer. Calculate the magnitude of the velocity with which the ball hits the floor.
2.1. The acceleration of the ball immediately after it leaves the girl's hand is -9.8 m/s², directed downwards.
2.2. Yes, the ball is in free fall while it moves downwards. This is because the only force acting on the ball is gravity, which is a constant downward force.
How to calculate the magnitude of velocity?The magnitude of the velocity with which the ball hits the floor can be calculated using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, v is the final velocity, and so is the distance traveled. In this case, u = 8 m/s, a = -9.8 m/s², and s = 1.8 m. Plugging these values into the equation, we get v = √ (8² - 2 × (-9.8) × 1.8) = √ (64 + 35.28) = √ (99.28) = 9.96 m/s.The time it takes for the ball to hit the floor can be calculated using the equation t = (v-u)/a, where t is the time, v is the final velocity, a is the acceleration and u is the initial velocity. In this case, v = 9.96 m/s, u = 8 m/s, and a = -9.8 m/s². Plugging these values into the equation, we get t = (9.96 - 8)/-9.8 = 1.97 s.
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Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in 3 hours and the other in 4 hours. At what time should the candles be lit so that at 4 PM, one stub is twice the length of the other?
The candles should be lit at 12 PM (noon) for the stub of the first candle to be twice the length of the second candle at 4 PM.
How can we conclude so.To determine the time at which the candles should be lit so that at 4 PM one stub is twice the length of the other, we need to use the concept of similar triangles.
Let's call the length of the first candle (the one that burns out in 3 hours) as x. The length of the second candle (the one that burns out in 4 hours) as y.
At 4 PM, the first candle will have burnt out completely, while the second candle will have only burnt out (4/3) of its length.
So, the length of the stub of the second candle is y(4/3). Now we know that x = 2(y(4/3))
We can solve for x and y by using the proportion (x/3 = y/4).
Comparing both equations we can conclude that the first candle should be lit at 12:00 PM in order to fulfill the condition.
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Position graph and time looking for velocity on runners for time interval between 5 seconds and 10 seconds
The Position-Time graph is the graph where the time t and the particle's instantaneous position x are shown on the y-axis and x-axis, respectively.
What is Position -Time Graph?A position-time graph, can be used to depict an object's motion. The y-axis of this sort of graph denotes position in relation to the starting point, while the x-axis denotes time. An object's distance from its beginning position at any given moment since it began moving is displayed on a position-time graph.
In a position-time graph, the slope, or steepness, of the graph line represents the velocity of the moving item. The slope and velocity are both zero if the graph line is horizontal. The object's position is staying the same. The greater the slope of the line and the faster the object's velocity changes, the steeper the line must be.A position-time graph makes it simple to determine the average velocity of a moving item. The change in location (represented by Δd) divided by the corresponding change in time (represented by Δt) is the average velocity:Velocity=Δd/Δt
A position-time graph, which depicts time on the x-axis and location with relation to the beginning point on the y-axis, can be used to visualise motion.A position-time graph's slope is a measure of velocity. The rate of change of motion increases with slope steepness.A position-time graph can be used to determine average velocity, which is equal to the change in position divided by the corresponding change in time.To know more about Position -Time Graph,Refer to:
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(e) if a typical house uses 10,900kwh per year, calculate how many houses could have their full energy needs provided for one year by the turbine above if it continued to operate as described for one year. show your work.
50 housescould have their full energy needs provided for one year by the turbine above if it continued to operate as described for one year.
Describe energy physics.Energy is characterized as having the "ability to accomplish work, namely the capacity to apply a force sufficient to move an object." Despite this unclear definition, the concept is actually quite straightforward: energy is simply the force that moves objects.
1 week 10.5MWh
we know,
1 week = 7days.
Enregy produce per day
10.5
E
=
1-day
7
=1.5 MWh
also, 1 year = 365 days.
E1-year
Energy produce by turbine per year is:
= E × 365 days 1-day
=1.5 × 365
=547.5 MWh
E1-house
Energy consumption of 1- house per year:
= 10900 KWH
in MWh
10900
E
-MWh
1- house
103
= 10.9 MWh
Describe the energy formula.Albert Einstein created the equation E = mc2, which typically reads as follows: "When the power of a body functions by such an amount E (regardless of the form the power takes), its mass of the physical change by an equivalent amount to E/c2.
Total numbe of house =
Energy produce by turbine per year Energy consume by 1 houe per year
=
547.5
10.9
=50.229
= 50 houses (appromately)
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The correct question is
If a typical house uses 10,900 kWh per year, calculate how many houses could have their full energy needs provided for one year by the turbine above (the turbine above produces 10.5 MW per week) if it continued to operate as described for one year.
The velocity (in meters/sec) of a particle moving along a straight line is given by v(t)=2t^2 + 3t - 1 where t is measured in seconds.
Answer the following questions given that the initial position s (0) =
Despite the fact that it was screwed up in, the displacement will be S of seven minus.
What is the initial position s (0) ?The goal is to make the position at Times Two equal to 4. This just serves to plug in four for tea. We're going to assess this and see if we can repeat the amount after we just typed in for everywhere for T. That is the current situation. T is equal to 4, therefore that's what it is. The location would be helpful to us. The concept is the same. It is seven times a third. Seven squared plus seven plus six equals that. You may calculate this to obtain 25 0.3 repeating. We want to determine a particle's displacement. It appears to have taken place between the hours of 4 and 7. Despite the fact that it was screwed up in, the initial position will be S of seven minus.To learn more about initial position refer to:
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the output from an and gate is high when . all inputs are high all inputs are low one input is high and the remaining inputs are low one input is low and the remaining inputs are high
The output of a NAND gate (also known as a NOT-AND gate) complements that of an AND gate because it only provides a false output if all of its inputs are true.
If the output is high, what are the inputs of an AND gate?Only when all inputs are HIGH will an AND gate's output be HIGH. When one or more inputs are LOW, a NAND gate's output is HIGH.
Which logic gate, when any input is high, outputs low values? A AND, B, OR C, N, OR D?The truth table for the NOR gate is displayed above and indicates that this logic gate is one that outputs low values when any of the inputs are high.
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