A basketball player jumps straight up for a ball. To do this, he lowers his body 0.250 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.960 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. 4.33 Correct: Your answer is correct. m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.250 m.

Answers

Answer 1

Answer:

a. 3.73 m/s b. 27.8 m/s²

Explanation:

(a) Calculate his velocity (in m/s) when he leaves the floor.

Using the conservation of energy principles,

Potential energy gained by basketball player = kinetic energy loss of basket ball player

So, ΔU + ΔK = 0

ΔU = -ΔK

mg(h' - h) = -1/2m(v'² - v²)

g(h' - h) = -1/2(v'² - v²) where g = acceleration due to gravity = 9.8 m/s², h' = 0.960 m, h = 0.250 m, v' =0 m/s (since the basketball player momentarily stops at h' = 0.960 m) and v = velocity with which the basketball player leaves the floor

Substituting the values of the variables into the equation, we have

9.8 m/s²(0.960 m - 0.250 m) = -1/2((0 m/s)² - v²)

9.8 m/s²(0.710 m) = -1/2(-v²)

6.958 m²/s² = v²/2

v² = 2 × 6.958 m²/s²

v² = 13.916 m²/s²

v = √(13.916 m²/s²)

v = 3.73 m/s

(b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.250 m.

Using v² = u² + 2as where u = initial speed of basketball player before lengthening = 0 m/s, v = final speed of basketball player after lengthening = 3.73 m/s, a = acceleration during lengthening and s = distance moved during lengthening = 0.250 m

So, making, a subject of the formula, we have

a = (v² - u²)/2s

Substituting the values of the variables into the equation, we have

a = ((3.73 m/s)² - (0 m/s)²)/(2 × 0.250 m)

a = (13.913 m²/s² - 0 m²/s²)/(0.50 m)

a = 13.913 m²/s²/(0.50 m)

a = 27.83 m/s²

a ≅ 27.8 m/s²


Related Questions

What is the magnitude of the force that is exerted on a 20 kg mass to give it an acceleration of 10.0
m/s2?

Answers

Answer:Mass of the body = 20 kg.

Final Velocity = 5.8 m/s.

Initial velocity = 0

Time = 3 seconds.  

Using the Formula,  

Acceleration = (v - u)/ t

= (5.8 - 0)/ 3

= 1.6 m /s².

Now, Using the Formula,  

Force = mass × acceleration

= 20 × 1.6

=

Explanation: I REALLY  HOPE THIS HELPS I'M KINDA NEW AT THIS :] :]

The magnitude of requires force, that is exerted on a 20 kg mass to give it an acceleration of 10.0 m/s^2 is 200 Newton.

What is force?

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given parameters:

Mass of the object: m = 20 kg.

Acceleration of the object: a = 10.0 m/s^2.

Hence, according to Newton's 2nd law of motion:

the magnitude of requires force = mass ×acceleration

= 20 × 10 Newton

= 200 Newton.

Hence, the magnitude of requires force is 200 Newton.

Learn more about force here:

https://brainly.com/question/13191643

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Name the four layers of the atmosphere (in order starting at the bottom

Answers

Answer:

Troposphere, stratosphere, mesosphere and thermosphere. The next region is the exosphere, but that region is 500+ km from the Earth's surface.

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Actually Welcome to the Concept of the Atmosphere.

The four layers of Atmosphere starting from bottom are as follows:

1.) Troposphere - The troposphere is the lowest layer of our atmosphere. Starting at ground level, it extends upward to about 10 km (6.2 miles or about 33,000 feet) above sea level.

2.) Stratosphere - The next layer up is called the stratosphere. The stratosphere extends from the top of the troposphere to about 50 km (31 miles) above the ground.

3.) Mesosphere - Above the stratosphere is the mesosphere. It extends upward to a height of about 85 km (53 miles) above our planet. Most meteors burn up in the mesosphere.

4.) Thermosphere - The layer of very rare air above the mesosphere is called the thermosphere. High-energy X-rays and UV radiation from the Sun are absorbed in the thermosphere, raising its temperature to hundreds or at times thousands of degrees.

At the bottom of the air track, the glider hits and stretches a rubber band, that causes the glider to change direction. When the rubber band is maximally stretched, the glider's kinetic energy is zero, because it is momentarily at rest. Since the glider is at the bottom of the air track, its (gravitational) potential energy is also zero. So the sum of the kinetic energy and gravitational potential energies is zero, yet energy is conserved. Where did the energy go?

Answers

Answer:

That energy is the elastic potential energy of the rubber band. At the bottom position, all the energy is being stored in the stretched rubber band, in the form of elastic potential energy.

Explanation:

When the glider reaches the bottom, its kinetic energy and potential energy become zero due to zero velocity and zero height, respectively. So, the sum of these energies will become zero. This will violate the law of conservation f energy. Hence, there must be a third type of energy that accounts for the conservation of the energy of the system at other configurations.

That energy is the elastic potential energy of the rubber band. At the bottom position, all the energy is being stored in the stretched rubber band, in the form of elastic potential energy.

Two turtles are floating next to each other in a pond. One turtle has twice as much mass as the other turtle. The two turtles push off each other. Which statement correctly describes their resulting momenta?
a). The larger turtle has twice as much momentum.
b).The smaller turtle has twice as much momentum.
c).The turtles have the same momenta as one another.
d).The turtles each have negative values of momentum.

Answers

Answer:

B

Explanation:

the reason the small turtle has more momentum is because it was less an example is I have two rocks a rock that weighs 1 oz and another rock that weighs half a pound the one that is half a pound Falls faster in the one that weighs an ounce Falls last hopefully that makes sense

What is the acceleration of a 7 kg object if a force of 63 N is applied?

Answers

Answer:

9m/s^2

Explanation:

F=ma

a=F/m

a=63/7

a=9m/s^2

what kind of weather would u assosiate with higher perssure system? How does the density, humidity and air motion compare to that of low pressure system?

Answers

Answer:

Low pressure systems typically arrive with storms and clouds. Air motion is usually upwards, as heated are is less dense and more buoyant than cooler air. A high pressure system is typically cooler than its counter-part, and skies are usually clear. Low pressure systems carry more water vapor due to rising hot air cooling and condensing.

A 10 N force is used to push a 30 kg box across the floor, moving it a distance of 20 m. There is no friction. What is the magnitude of work done on the box?

A. 2 J

B. 10 J

C. 30 J

D. 200 J

Answers

Work=Force • Distance
W= 10N • 20m
W= 200 J

Find the current if 20C of charge pass a particular point in a circuit in 10 seconds.

Answers

Answer:

2 A

Explanation:

From the question,

Q = it..................... Equation 1

Where Q = Quantity of charge, i = cudrrent, t = time.

Make i the subject of the equation

i = Q/t.......................... Equation 2

Given: Q = 20 C, t = 10 seconds.

Substitute these values into equation equation 2

i = 20/10

i = 2 A.

Hence the current is 2A

The current will be "2 A".

Given values are:

Charge, Q = 20 CTime, t = 10 seconds

As we know,

→ [tex]Current = \frac{Charge}{Time}[/tex]

or,

→ [tex]i = \frac{Q}{t}[/tex]

BY substituting the values, we get

      [tex]= \frac{20}{10}[/tex]

      [tex]= 2 \ A[/tex]

Thus the answer above is right.

Learn more about current here:

https://brainly.com/question/19668907

Newton's law of gravitation is proportional to the inverse cube of the distance between the two objects.

True
False

Answers

true hope this helps

A wave with a frequency of 5Hz travels a distance of 40mm in 2 seconds.What is the speed of the wave​

Answers

Answer:

20mm per second

Explanation:

lol

Pleaseee I need help!!

Answers

Answer:

R1=3.333 Ohms

R2=10 Ohms

R3=16.666 Ohms

Explanation:

30 total

30=R1+R2R3

30=1(x):3(x):5(x)

x=3.3333

R1=3.333 Ohms

R2=10 Ohms

R3=16.666 Ohms

How is it difficult to perform electrostatic experiments on humid days​

Answers

Answer:

that should be the right answer

How does the current in a series circuit compare

Answers

The amount of current is the same through any component in a series circuit. Resistance: The total resistance of any series circuit is equal to the sum of the individual resistances. Voltage: The supply voltage in a series circuit is equal to the sum of the individual voltage drops.

what is the name for a force of gravity acting on an object

Answers

Answer:

Weight

Explanation:

We call it "Ralph" or "the object's weight".

I want answer plzz??

Answers

Answer:

a=0.5g ms^-2

Explanation:

Let tension be T

acceleration be a

g be gravitational acceleration 9.81ms^-2

They share same T and a

by force diagram the net force on m:

T-2.1g=2.1a

net force on M:

6.3g-T=6.3a

solve:

(T-2.1g)/(6.3g-T)=2.1a/6.3a

3T+T=12.6g

T=3.15g newton

3.15g-2.1g=2.1a

a=0.5g ms^-2

In a transverse wave, the distance from any two consecutive crest or any two consecutive troughs is called the

Answers

Answer:

Wavelength

Explanation:

Answer:

Wavelength if it's the horizontal distance. Wave Height if it's vertical distance.

Explanation:

An object that is spinning, but not orbiting anything, has zero angular momentum.


True
False

Answers

The answer is fals:)

What is a potential drawback of a fast rate of reaction in industry?

Answers

Answer:

It is expensive to generate conditions for a fast reaction

Explanation:

You start biking at the top of a steep hill. As you travel downhill, you apply
your brakes to control your speed. What are the energy transformations
taking place in this system?
A. Kinetic energy to mechanical energy to chemical energy
B. Potential energy to kinetic energy to heat energy
C. Thermal energy to mechanical energy to potential energy
D. Electric energy to kinetic energy to chemical energy

Answers

The answer is A I hope this helps.

What is the unique geological feature found on Mercury surface?

Answers

Answer:

The surface of Mercury has landforms that indicate its crust may have contracted. They are long, sinuous cliffs called lobate scarps. These scarps appear to be the surface expression of thrust faults, where the crust is broken along an inclined plane and pushed upward.

Explanation:

I hope this helps a little bit.

PLEASE HELP WITH THIS ONE QUESTION
A bird lands on a bird feeder which is connected to a spring. The mass of the bird is exactly the same as the mass of the bird feeder. How does the added mass affect the period of oscillation of the bird feeder?

The period is less, but not halved.

The period is more, but not doubled.

The period is halved.

The period is doubled.

Answers

Answer:

The period is more, but not doubled.

Explanation:

Recall that the period of a mass on a spring is T=2πmk.

While sitting in a boat, a fisherman observes that 2 complete waves pass by his position every 4 seconds. What is the period of these waves?A)2s B)8s C) 0.5 s D) 4s​

Answers

Answer:

2

Explanation:

Because 2 waves 4 secs means 1 in 2s

The period of these waves is 2s. and The right option is A)2s.

The period of a wave is the time taken by a wave to complete one cycle.

The formula of period from the question is given below.

⇒ Formula:

T = t/2.................... Equation 1

⇒ Where:

T  = Period of the wavet = time taken for two complete oscillation

From the question,

⇒ Given:

t = 4 seconds.

⇒ Substitute these value above into equation 1

T = 4/2T = 2 seconds.

Hence, The period of these waves is 2s.

The right option is A)2s

Learn more about period here: https://brainly.com/question/22059232

coefficient of viscosity of a glycerine is 8.4 poison explain

Answers

Answer:

coefficient of viscosity of 8.4 poison denotes that the tangential frictional force acting per unit area when divided by the velocity gradient as a result of streamline flow conditions gives 8.4.

Explanation:

Viscosity is defined as the extent to which a fluid can resist flow when a force is applied to it.

Now, coefficient of viscosity is the term in which viscosity is calculated. It is basically the tangential frictional force acting per unit area which is divided by the velocity gradient as a result of streamline flow conditions.

Thus, coefficient of viscosity of 8.4 poison denotes that the tangential frictional force acting per unit area when divided by the velocity gradient as a result of streamline flow conditions gives 8.4.

Which graph illustrates constant speed?
A
B
C
D
I will reward you

Answers

Answer:

D because the line isn't changing which means constant speed it's going at the same rate so yea it's D

Answer:

D.

Hope that helps!?

Explanation:

A flat loop of wire consisting of a single turn of cross-sectional area 8.80 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.80 T in 1.10 s. What is the resulting induced current if the loop has a resistance of 2.20

Answers

Answer:

The magnitude of the induced current is 4.73 x 10⁻³ A.

Explanation:

Given;

number of turns, N = 1

cross sectional area of the loop, A = 8.8  cm² = 8.8 x 10⁻⁴ m²

change in magnetic field strength, ΔB = 1.8 T -  0.5 T = 1.3 T

change in time, Δt = 1.10 s

resistance of the loop, R = 2.2 ohm

The magnitude of the induced emf is calculated as;

[tex]emf = \frac{NA \Delta B}{\Delta t} \\\\emf = \frac{1 \times 8.8\times 10^{-4} \times 1.3}{1.10} \\\\emf = 1.04 \times 10^{-3} \ V[/tex]

The induced current in the loop is calculated as;

[tex]I = \frac{emf}{R} \\\\I = \frac{1.04 \times 10^{-3}}{2.2} \\\\I= 4.73 \times 10^{-4} \ A[/tex]

Therefore, the magnitude of the induced current is 4.73 x 10⁻³ A

what are three physical properties of gases

Answers

Answer:   Gases have three characteristic properties: (1) they are easy to compress, (2) they expand to fill their containers, and (3) they occupy far more space than the liquids or solids from which they form. An internal combustion engine provides a good example of the ease with which gases can be compressed.

Explanation:

Take 100 PONTS!!!!!! PLEASE I NEED HELP FAST. Just look The picture.​

Answers

Answer:

i THINK it’s false. You don’t have to give me points ;-;

Explanation:

Answer:

i think false and true is spelt wrong lol

Explanation:

examples of buildup of static energy?

Answers

Answer:

Materials that can lose or gain electrons in this way are called triboelectric, according to Northwestern University. One common example of this would be shuffling your feet across carpet, particularly in low humidity which makes the air less conductive and increases the effect.

Explanation:

Hope that helps :)

Which of the following objects is accelerating?

Answers

Answer: A flower pot falling

Explanation:

The car on the curve (its direction is changing) and the falling flower pot (its speed is changing) are both undergoing acceleration.

4. When you are holding a book, energy is stored between the book and the Earth.
This type of energy is called
potential energy.
A. Elastic potential energy
B. Chemical potential energy
C. Gravitational potential energy
D. Kinetic energy

Answers

Answer:

gravitational potential energy

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