Answer:
We can start by using the formula:velocity = distance/timeFirst, we need to calculate the distance traveled in kilometers.
To do this, we can subtract the exit numbers:
116 km - 35 km = 81 km
Next, we need to convert the time difference from hours and minutes to hours:
3:09 pm - 2:15 pm = 0.9 hours
Now we can use the formula to find the velocity:
velocity = 81 km / 0.9 hours
velocity ≈ 90 km/h
Finally, we can convert this velocity to meters per second by multiplying by 1000/3600:
velocity = 90 km/h x 1000 m/km / 3600 s/h
velocity ≈ 25 m/s
Therefore, your velocity is approximately 25 m/s.
Explanation:
A motorcycle moves according to the velocity-versus-time graph shown in the figure
Find the average acceleration of the motorcycle during segment A of the motion.
(part a)
Find the average acceleration of the motorcycle during segment B of the motion.
(part b)
Find the average acceleration of the motorcycle during segment C of the motion.
(part c)
Average acceleration A = 2 m/s² Average acceleration B = 0 m/s² Average acceleration C = -0.5 m/s²
What is acceleration?The rate of change in velocity over time is called acceleration. The unit of measurement for this vector quantity is meters per second squared (m/s²). Acceleration can be either positive (speeding up) or negative (speeding down). It can also be referred to in terms of direction, such as acceleration to the left or right.
a) V=10m/s
u=0m/s
t= 5 second
a = (v-u)/t
= (10-0)/5
= 2 m/s²
b) The body moves with constant velocity 10m/s , so acceleration is 0m/s
c The velocity is falling , so the body is,
a= (v-u)/t= (5-10)/10
= -5/10
= -0.5 m/s²
Therefore, the Average acceleration of A, B and C are 2 m/s², 0m/s and -0.5 m/s²
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How can scientists determine whether an extinct animal gave birth on land or underwater?.
The correct option is C. Position of the head of the fetus of an extinct animal that gave birth on land or underwater.
In human prenatal development, fetal development starts offevolved from the 9th week after fertilization (or eleventh week gestational age) and maintains till birth.
Prenatal improvement is a continuum, with no clear defining characteristic distinguishing an embryo from a fetus. however, a fetus is characterized by the presence of all the most important body organs, though they will now not yet be completely advanced and practical and some not but situated in their very last anatomical vicinity. An unborn offspring develops and grows within the uterus (womb) of humans and different mammals. In human beings, the fetal duration begins at 9 weeks after fertilization of an egg by using sperm and ends at the time of delivery.
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Complete Question:
1. How can scientists determine whether an extinct animal gave birth on land or underwater?
a. Location of the hind limbs of the fetus
b. Position of the nostrils
c. Position of the head of the fetus
d. Location of the fossils
If two bowling balls were to collide head on stick to one another, with some loss in kinetic energy, the collision would be considered a(n) ___________ collision.
A.Cushy
B .Perfectly Inelastic
C.Reversable
D.Elastic
the combined effect of all forces acting on an object is the ___ force
Answer:
net force
Explanation:
Microevolution three mechanisms that cause allelic frequencies to change in a population: gene flow, genetic drift, natural selection bottleneck effect founder effect population gene pool stabilizing, directional and disruptive selection hardy-weinberg equilibrium five conditions that must be met in order for population to be in hardy-weinberg equilibrium adptive evolution relative fitness sexual selection sexual dimorphism intrasexual selection intersexual selection neutral variation balancing selection heterozygote advantage hardy-weinberg problems
Microevolution refers to the evolution occurring at species-level involves three mechanisms that cause allelic frequencies to change in a population: gene flow, genetic drift, and natural selection.
Changes in the environment can affect population gene pools on both a small- and large-scale. Microevolution is the process of population-level changes in allele frequency. Some alterations take place at the species level or lower. There are hence variations in allele frequencies between or within groups.
Natural selection is one of the mechanisms of microevolution. It serves as an editor for allele frequency in populations to determine whether individuals with particular features have a higher or lower chance of surviving and procreating. Populations' gene pools can occasionally shift as a result of individuals leaving or entering the community. This transfer of alleles between populations is referred to as gene flow. Genes can "flow" from one area to another just like water does in a river.
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1) How do we calculate a metal density’s “fractional error” (write the formula)?
2) What is “Zero reading” or “Zero error” and how to find it for “Micrometer caliper”?
3) What is “fractional error” for the following formula?
Z= 2/3 X2Y3 , X= 7m , Y= 4m, σx=0.2m , σy=0.1m
σZ=?
Answer:
no zero error
Explanation:
Calculate the total work done on a mass m as it moves from position x1 = 0 m to x2 = 40 m
F1 = 5 N F2 = 6 N angle between them 50 degree
F3 = 2 N F4 = 2 N Angle Between them 20 Degree
The total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
What is Work Done?
Work is a physical quantity that describes the amount of energy transferred when a force acts on an object and causes it to move. When a force acts on an object and causes it to move in the direction of the force, work is said to be done on the object. Mathematically, work is defined as the dot product of force and displacement:
Work = Force x Displacement x cos(theta)
To calculate the total work done on the mass as it moves from position x1 to x2, we need to find the net work done by all the forces on the mass. The net work done by a force is given by the formula:
W = F * d * cos(theta)
where W is the work done, F is the force, d is the displacement of the mass, and theta is the angle between the force and the displacement.
First, we can calculate the work done by each force separately and then add them up to find the total work done.
Work done by F1:
W1 = F1 * (x2 - x1) * cos(0) = 5 N * 40 m * cos(0) = 200 J
Work done by F2:
W2 = F2 * (x2 - x1) * cos(50°) = 6 N * 40 m * cos(50°) ≈ 165.41 J
Work done by F3:
W3 = F3 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
Work done by F4:
W4 = F4 * (x2 - x1) * cos(20°) = 2 N * 40 m * cos(20°) ≈ 74.88 J
The total work done on the mass is the sum of the work done by each force:
W_total = W1 + W2 + W3 + W4 ≈ 515.17 J
Therefore, the total work done on the mass as it moves from x1 = 0 m to x2 = 40 m is approximately 515.17 J.
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Two blocks are attached to either end of a light rope that passes over a light, frictionless pulley suspended from the ceiling. One block has mass 8. 00 kg , and the other has mass 6. 00 kg. The blocks are released from rest.
Two blocks are attached to either end of a light rope that passes over a light, the change in gravitational PE is 11.76, -15.68j, 0.2T, -0.2T and speed is 0.7483 m/s.
partA] change in gravitational PE :
U6 = m1gh = 6*9.8*0.2 = 11.76 J
U8 = -m2gh = -8*9.8*0.2 = -15.68 J
ANSWER = 11.76, -15.68
partB] W6 = T*0.2 = 0.2T
W8 = T*-0.2 = -0.2T
answer = 0.2T, -0.2T
partC] WT = 0.2T-0.2T = 0
deltaUg = 11.76-15.68 = -3.92 J
increase in KE = 3.92J
speed v = sqrt(2KE/(m1+m2))= sqrt(2*3.92/14) = 0.7483 m/s
answer = 0,-3.92, 0.7483
The pace is measured as the ratio of distance to the time wherein the distance is turned into a blanket. the pace is a scalar quantity because it has the most effective course and no importance. For the size of the pace in vehicles, speedometers are used. pace also can be calculated with the assistance of a graph. the space-time graph allows know-how of the rate of an object.
In regular use and in kinematics, the rate of an object is the value of the change of its position over the years or the importance of the alternate of its function per unit of time; its miles as a result a scalar amount. the spot pace is the limit of the common pace because the period of the time c program language period approaches 0. pace isn't always similar to velocity.
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A child is sending pulses down a stretched rope at a rate of 2 pulses per second. The distance between the pulses is 5 meters. What is the speed of the wave?.
The speed of the wave that is propagated is 10 meters per second.
A wave is a disturbance or variation that gradually conducts electricity from point to point in a medium and can take the form of elastic deformation or a change in pressure, electric or magnetic intensity, electric potential, or temperature
The speed of a wave is determined by the frequency of the wave and its wavelength. In this case, the child is sending pulses down the rope at a rate of 2 pulses per second, so the frequency is f = 2 Hz.
The distance between the pulses is 5 meters, which is the wavelength of the wave, represented by lambda (λ).
The speed of the wave (v) is given by the formula:
v = f * λ
Substituting the values we have, we get:
v = 2 Hz * 5 m = 10 m/s
Therefore, the speed of the wave is 10 meters per second.
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An FM radio station broadcasts at 9.23x10^7 Hz. Given that the radio waves travel at 3.00x10^8 m/s, what is the wavelength of these waves?
If a radio station broadcasts at 9.23 x 10⁷Hz and the velocity of the waves is 3 x 10⁸m/s, the wavelength of these waves is 3.25m.
How to find the wavelength of radio waves?According to the question,
Frequency of the FM radio = 9.23 x 10⁷Hz
Velocity of the waves = 3 x 10⁸m/s
The wavelength of the wave =?
To find the wavelength of the wave, we conclude the velocity equation;
Velocity = frequency x wavelength.
Since to find unknown is the wavelength, we have to solve for it:
3 x 10⁸ = 9.23 x 10⁷ x wavelength
wavelength = 3 x 10⁸/ 9.23 x 10⁷
wavelength = 3.25m
Therefore, the wavelength of these waves is 3.25m.
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W
Question 9
1 pts
The initial vertical velocity (Vyi) needed to raise your center of mass from an initial
height (yi) of 1.2 m to a peak height (yf) of 1.8 m is
The initial vertical velocity needed to raise the center of mass from 1.2 m to a peak height of 1.8 m is approximately 3.43 m/s.
What is the initial velocity?The initial vertical velocity needed to reach a peak height can be calculated using the equation of motion for a projectile under constant gravity:
Vyi = √(2 * g * (yf - yi))
where:
g is the acceleration due to gravity (approximately 9.8 m/s^2)yi is the initial height (1.2 m)yf is the peak height (1.8 m)Plugging in the values, we get:
Vyi = √(2 * 9.8 * (1.8 - 1.2))
Vyi = √(2 * 9.8 * 0.6)
Vyi = √(11.76)
Vyi = 3.43 m/s
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Which of the following statements concerning momentum is true?
Which of the following statements concerning momentum is true?
*
A.) Momentum is a scalar quantity.
B.)The momentum of an object is always positive.
C.)Momentum is a force.
D.) Momentum is a vector
E.)The SI unit of momentum is the Newton.
The statement that is true about momentum is as follows: Momentum is a vector (option D).
What is momentum?Momentum is the tendency of a body to maintain its inertial motion. It is the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
Momentum is a vector quantity i.e. it has both magnitude and direction.
Since momentum is a product of mass and velocity, it's S.I unit is kgm/s or N/s.
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Momentum is that momentum is a vector quantity. Therefore, the answer is option D.Momentum is a property of objects that are moving, that is, an object's tendency to stay in motion. Momentum is a measure of an object's motion or its inertia in motion.
An object's momentum is calculated as the product of its mass and its velocity, with the direction of momentum being the same as the direction of velocity.Vector and scalar quantitiesMomentum is a vector quantity because it has both magnitude and direction. A scalar quantity, on the other hand, is a quantity that has only magnitude and no direction.
For example, speed is a scalar quantity because it is defined as distance divided by time and has only magnitude (no direction).In physics, there are two types of quantities: vector quantities and scalar quantities. A vector quantity is a quantity that has both magnitude and direction, whereas a scalar quantity is a quantity that has only magnitude.
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According to the conservation of momentum, the momentum before a collision should be _______ the momentum after the collision.
A.greater than
B.less than
C.double
D.equal to
Answer:
D. equal to
Explanation:
The law of conservation of momentum states that momentum is conserved, so it would stay the same.
Which component in the circuit would most likely have the lowest resistance?
A buzzer
A capacitor
A light bulb
A wire
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
A wire should have the least resistance possible, because if there is more resistance in wires, there would be a lot of power loss when current flows through it.
Therefore, wires should have lowest resistance.
A truck moving across an ice road is spreading sand across the ice. The truck can be considered a closed, isolated system. Which of the following is true? * a. The mass of the truck decreases with no change in the velocity of the truck b.The mass of the truck decreases while the velocity of the truck increases. C.The mass of the truck decreases while the velocity of the truck decreases. D. The mass of the truck remains the same while the velocity of the truck remains the same.
Answer:
D
Explanation:
The mass of the truck remains the same while the velocity of the truck remains the same.
The concept of a closed, isolated system means that the system is considered to be completely enclosed and does not exchange energy or matter with its surroundings. In this case, the truck is spreading sand across the ice, but it is still considered a closed, isolated system because it is not exchanging matter with its surroundings. The mass of the truck, which includes the truck and the sand inside, remains constant.
Therefore, option D, "The mass of the truck remains the same while the velocity of the truck remains the same" is true.
By changing the current in the wire, you can change the ____ of an electromagnet.
An electromagnet experiences a direct current (DC) voltage that travels from the positive to the negative end of the DC circuit. This produces a magnetic field with a north and south magnetic pole.
What is the impact of polarity on electromagnet?Due to the inverse relationship between the resistance of the circuit and cross-sectional area, the thickness of the wire has an impact on the electromagnet's strength.
if the current increases, more current will flow through the electromagnet. The strength of the electromagnet is so increased by the wire's thickness.
Increasing the current through the wire. The magnetic field is produced by the current that is flowing through the wire. Stronger magnetic fields and, hence, stronger electromagnets result from larger current flow.
Therefore, an electromagnet's polarity can be altered by reversing the flow of electricity through its coil.
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A toy car of mass 50g travels down a smooth incline at 30 degrees to
the horizontal. Calculate:
(a) The net force acting on the car as it rolls down the slope, and
(b) The force of the incline on the car as it travels down the slope.
The only force causing the car to slide down the incline is the gravitational force component, or "mg sin," because the surface is frictionless (smooth), or Ff = 0.
What is Force?a) F = mg sin θ.
F = 50 * 10−3 9.8 * 1/2
= 0.245 N
If the slope is 30 degrees, the top corner will be 90 30 degrees, and the normal to the vertical force will also be 90 60 degrees, thus we will use mg cos 30 perpendicular to the slope.
b) FN = mg cos θ
= m × g × cos θ
= 50 × 10−3 × 9.8 × cos 30
= 0.43N
Therefore, The only force causing the car to slide down the incline is the gravitational force component, or "mg sin," because the surface is frictionless (smooth), or Ff = 0.
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Explain,
A system consists of 55 electrons and 43 protons.
Answer:
a system considered of the elements and why protons
Explanation:
no explantion
Compute the density in g/cm3 of a piece of metal that has a mass of 0.500 kg and a volume of 63 cm3.
Answer: ~7.94g/cm^3
Explanation: To find the density we first must make sure all the units are correct:
0.500kg x 1000g = 500g
500g / 63 cm^3 will give you units in g/cm^3, and the answer: 7.9365g/cm^3.
You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 45 ∘ with the horizontal, and the hammer is moving at 4.5 m/s when it reaches the edge. Assume that the hammer is moving from the top of the roof to its right edge.
1. What is the vertical component of the hammer's velocity just as it leaves the roof?
The hammer travels at 3.9 m/s in its horizontal direction. The roof is at an angle with the horizontal when the hammer is dropped from a height of v along it.
Describe a velocity example.The speed with which something travels in a specific direction is known as its velocity. As an illustration, think of the movement of a car driving north on either a highway or the speed at which a rocket takes off.
When does acceleration differ from velocity?The change in displacement is measured in terms of velocity. The speed of change in velocity is known as acceleration. Given that it has both a magnitude and a direction, mass and velocity quantity. Being merely the change in frequency, accelerating is also an vector quantity.
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sun why it that the higher you go to the becomes cold.
The temperature drops as you go higher into the atmosphere because you are moving away from the Earth's surface, where the majority of the planet's heat is generated.
What happens when we go higher?As you move higher, the air pressure and density decrease, and there is less of the Earth's atmosphere to absorb and retain heat. This results in a lower overall temperature.
Additionally, the sun's rays become more intense at higher altitudes due to the lack of air molecules to scatter the sunlight. This can cause a heating effect, but it's usually not enough to offset the cooling effect caused by the decrease in atmospheric pressure.
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The Earth is a sphere with a diameter of about 12,800 kilometers. Scientists believe that the Earth first formed
billion years ago and was larger then than it is now.
The Earth was so hot that all the rock was molten, i.e. in the
state.
We think that about 4.4 billion years ago the Earth had cooled down enough to let a
crust form on the surface.
Answer:
Explanation:
Earth is our home planet. Scientists believe Earth and its moon formed around the same time as the rest of the solar system. They think that was about 4.5 billion years ago. Earth is the fifth-largest planet in the solar system. Its diameter is about 8,000 miles. And Earth is the third-closest planet to the sun. Its average distance from the sun is about 93 million miles. Only Mercury and Venus are closer.
What Are Earth's Different Parts?
Earth consists of land, air, water and life. The land contains mountains, valleys and flat areas. The air is made up of different gases, mainly nitrogen and oxygen. The water includes oceans, lakes, rivers, streams, rain, snow and ice. Life consists of people, animals and plants. There are millions of species, or kinds of life, on Earth. Their sizes range from very tiny to very large.
Below Earth's surface are layers of rock and metal. Temperatures increase with depth, all the way to about 12,000 degrees Fahrenheit at Earth's inner core.
Earth's parts once were seen as largely separate from each other. But now they are viewed together as the "Earth system." Each part connects to and affects each of the other parts. For example:
Clouds in the air drop rain and snow on land.
Water gives life to plants and animals.
Volcanoes on land send gas and dust into the air.
People breathe air and drink water.
Earth system science is the study of interactions between and among Earth's different parts.
N₂O4(9) 2NO₂(g)
Colorless Brown
Keq = 6.16 x 10.3
What is the predicted direction of change?
Setup 1:
Setup 2:
Setup 3:
DONE ✔
Setup #
1
2
3
[N₂04]
0.098 M
0.150 M
0.420 M
[NO₂]
0.0064 M
0.0304 M
0.230 M
Here, when , the reaction quotient is less than the equilibrium constant, then, the reaction will move to the right. In the first set up, the reaction quotient is less than Keq. Then, the reaction moves to right.
What is reaction quotient ?The reaction quotient of a reaction is the ratio of molar concentration of the product to the molar concentration of the reactants.
In the first setup.
Keq = 6.16 x 10⁻³
Q = [0.0064]²/[0.098] = 4.18 × 10⁻⁴
Q<K⇒The reaction moved to the right (products)
Setup 2 :
Q = [0.0304]²/[0.150]
= 6.16 x 10⁻³
Q=K⇒the system at equilibrium
Setup 3 :
Q = [0.230]²/[0.420]
= 0.126
Q>K⇒The reaction moved to the left (reactants)
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Answer: products, equilibrium, reactants
Explanation:
its right on edge 2023
Unit 3
The Flow of Energy in Systems
EVIDENCE NOTEBOOK
11. How could the surfaces and structures in an urban area be related to the
urban heat island effect? Record your evidence
Answer:
The surfaces and structures in an urban area can have a significant influence on the urban heat island effect. For example, paved surfaces like roads and buildings absorb more heat than surfaces covered in vegetation, and structures like high-rise buildings can trap and reflect heat, resulting in higher temperatures in the urban area. Additionally, urban areas usually have less vegetation than their rural counterparts, meaning there is less vegetation to absorb heat from the sun and provide shade, further contributing to the urban heat island effect. Evidence of this can be seen in research at louisvilleky.gov/government/sustainability/urban-heat-island-project.
how many times more light can a telescope with a diameter of 17 inches gather compared to one that has a diameter of 3 inches?
Answer:
The telescope with a 17-inch diameter can gather more than 60 times more light than the one with a 3-inch diameter.
Explanation:
A 25kg turkey is fired from a 1.2x10^3 kg turkey launcher. If the horizontal velocity of the turkey is 245m/s east, what is the recoil of the launcher?
A.) 9.38 m/s
B.) 7325 m/s
C.) 4925 m/s
D.) 5.1 m/s
The recoil velocity of the launcher is 5.1 m/s.
option D.
What is the recoil velocity of the launcher?To calculate the recoil velocity of the launcher, we can use the law of conservation of momentum.
According to this law, the total momentum of the system (turkey + launcher) before the launch is equal to the total momentum after the launch.
initial momentum of the turkey = final momentum of the launcher
( 25 kg x 245 m/s ) = 1,200 kg (v)
where;
v is the recoil velocity of the launcherv = ( 6125 kgm/s) / ( 1,200 kg )
v = 5.1 m/s
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A school bus moves down a road dropping off students after school. The bus slows down from a speed of 15 meters per second (m/s) to a full stop over a distance of 55meters (m) in 11 seconds (s). What is the average speed of the school bus while the bus is slowing down?.
The average speed of the school bus while the bus is slowing down is 5m/s.
Initial velocity, u = 15 m/s.
Distance traveled, d = 55 m.
Time is taken, t = 11 s.
Final velocity, v = 0 m/s.
We know, average velocity is given by :
[tex]v_a_v_g= \frac{distance}{time} = \frac{55}{11} = 5m/s[/tex]
Therefore, the average velocity is 5 m/s.
The pace is measured as the ratio of distance to the time wherein the distance is turned into a blanket. the pace is a scalar quantity because it has the most effective course and no importance. For the size of the pace in vehicles, speedometers are used. pace also can be calculated with the assistance of a graph. the space-time graph allows know-how of the rate of an object.
In regular use and in kinematics, the rate of an object is the value of the change of its position over the years or the importance of the alternate of its function per unit of time; its miles as a result a scalar amount. the spot pace is the limit of the common pace because the period of the time c program language period approaches 0. pace isn't always similar to velocity.
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a wheel has angular velocity 4.00 rad/s. which of the following is closest to the number of revolutions that the wheel makes in 15.0 s?
a.10 revolutions
b.20 revolutions
c.15revolutions
d.25 revolutions
e. 5 revolutions
f. i dont know yet
Answer:
10 revolutions
Explanation:
By using the equation Δ=Δ, we get that Δ=(4.00rad/s)(15.0s)=60.0rad. Since there are 2 radians per revolution, this angular displacement corresponds to (60.0rad)/(2rad/rev)=9.55rev.
The angular velocity of the wheel is 4 rad/s and the time interval is 15 s. Then the number of rotations in radians is 60 radians. This is equal to 9.5 revolutions.
What is angular velocity ?Angular velocity is a physical quantity that describes the speed of an object in an angular path. It is the rotational o revolutional analogue of of the linear velocity.
The angular velocity of an object is the product of the linear velocity and the radius of the angular path.
Given that, the angular velocity of the wheel = 4 rad/s
time = 15 s
then, number of radians = 4 rad/s × 15 s = 60 radians.
1 revolution = 2π radians.
then 60 radians = 60/2π = 9.5 revolutions.
Therefore, the number of revolutions for the wheel in 15 s is 9.5 revolutions.
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Wrongly called for a foul, an angry basketball player throws the ball straight down to the floor.
If the ball bounces straight up and returns to the floor 2.9 s after first striking it, what was the ball's greatest height above the floor?
The ball had a maximum height that was 3.0 meters lower than its initial height (h₀).
How can you determine the ball's greatest height?Before being thrown down, let's call the ball's initial height h0. The ball's height after it was thrown down and bounced back up is called h1.
After being thrown, the ball takes half as long to reach its maximum height (h1) as it does to bounce back to the ground (2.9 s divided by 2 = 1.45 s).
Using the following equation for vertical displacement under gravity's constant acceleration:
y = v₀ × t + (1/2) × a × t²
where:
The initial velocity of the ball, v₀, is negative because it was thrown straight down;
a is the acceleration caused by gravity (9.8 m/s²); and
t is the time it takes for the ball to reach its maximum height (1.45 s).
We can use the equation for velocity under constant acceleration to determine the initial velocity of the ball, v₀ :
v = v₀ + a × t
where:
v is the velocity of the ball at time t (0 m/s since it has reached its maximum height)
Combining the two equations:
0 = v₀ + 9.8 m/s² × 1.45 s
v₀ = -9.8 m/s² × 1.45 s
Substituting the values for v₀ and t into the equation for vertical displacement:
h₁ - h₀ = v₀ × t + (1/2) × a × t²
h₁ - h₀ = (-9.8 m/s² × 1.45 s) × 1.45 s + (1/2) × 9.8 m/s² × (1.45 s)²
h₁ - h₀ = -13.8 m + 10.8 m
h₁ - h₀
= -3.0 m
So, the ball's greatest height above the floor was 3.0 m less than its initial height (h₀).
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Consider a block of mass 6 kg on a rough plane inclined at 25° to the horizontal A force, F of magnitude 37,173 N is applied to this block to keep it moving at a constant velocity 3.2 6 kg 25° Define a normal force. Draw a force diagram showing ALL the forces acting on this block Calculate the: 3.3.1 component of the weight that is parallel to the inclined plane. 3.3.2 magnitude of the normal force. 3.3.3 magnitude of the frictional force. ▸
Answer:
To calculate the forces acting on the block, we can use the following steps:
Draw a force diagram showing all the forces acting on the block. The forces acting on the block are:
Weight (W), which acts vertically downward with a magnitude of W = m * g, where m is the mass of the block and g is the acceleration due to gravity (g = 9.8 m/s^2)
Normal force (N), which acts vertically upward to balance the weight and prevent the block from sinking into the surface of the plane
Frictional force (f), which acts parallel to the plane in the direction opposite to the motion of the block
Applied force (F), which acts parallel to the plane in the direction of the motion of the block
Calculate the component of the weight that is parallel to the inclined plane. The weight can be resolved into two components, one perpendicular to the plane (Wcosθ) and one parallel to the plane (Wsinθ).
Wcosθ = W * cos(25°) = (6 kg) * (9.8 m/s^2) * cos(25°) = 50.18 N
Wsinθ = W * sin(25°) = (6 kg) * (9.8 m/s^2) * sin(25°) = 59.16 N
Calculate the magnitude of the normal force. The normal force is equal to the component of the weight that is perpendicular to the plane.
N = Wcosθ = 50.18 N
Calculate the magnitude of the frictional force. The frictional force is equal to the magnitude of the applied force minus the component of the weight that is parallel to the plane.
f = |F - Wsinθ| = |37173 N - 59.16 N| = 37113.84 N
Note that the frictional force opposes the motion of the block and its magnitude is limited by the maximum static friction force, which is given by fmax = μN, where μ is the coefficient of friction between the block and the plane. In this case, since the block is moving at a constant velocity, the frictional force must be equal to the applied force, so that f = 37173 N and μ can be calculated as μ = f / N = 37173 N / 50.18 N = 739.
Explanation:
