A tennis ball launcher works by using a spring to

propel the ball forward.

One model of tennis ball launcher has

advertised that it is capable of imparting

15,000 J of kinetic energy to a 0.5 kg ball

initially at rest. A student carefully measures the

compression of the spring to be 0.10 m.

What is the value of the spring constant for the

tennis ball launcher according to the data

provided?

Answers

Answer 1

Answer:

3MN/m

Explanation:

Step one:

given data

Kinetic Energy KE=15,000J  

mass m= 0.5kg

compression x= 0.1m

Step two:

The expression for the energy stored in spring is

[tex]KE= 1/2ke^2\\\\15000=1/2 *k*0.1^2\\\\15000=1/2*k*0.01\\\\15000=0.005k\\\\[/tex]

divide both sides by

0.005

[tex]k= 15000/0.005\\\\k=3000000\\\\k= 3MN/m[/tex]

Answer 2

From conservation of energy, the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm

The work done by a  tennis ball launcher by using a spring to propel the ball forward is equal to the kinetic energy which is 15,000 Joule. That is,

W = K.E

The given parameters are:

K.E = 15,000 J

Mass m = 0.5 kg

compression x = 0.1 m

The elastic potential energy on the spring will be equal to the work done by the tennis ball launcher. That is,

E = W

since W = K.E

E = K.E

1/2k[tex]x^{2}[/tex] = 1/2m[tex]v^{2}[/tex] = 15,000

1/2k[tex]x^{2}[/tex] = 15000

Substitute for 0.1 for x

1/2 K ([tex]0.1^{2}[/tex]) = 15000

[tex]0.1^{2}[/tex] K = 30000

K = 30000/0.01

K = 3 x [tex]10^{6}[/tex] Nm

Therefore,  the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm

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Related Questions

An 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?

Answers

Answer:

1626.4 N

Explanation:

Given that a 82 kg man, at rest, drops from a diving board 3.0 m above the surface of the water and comes to rest 0.55 s after reaching the water. What force does the water exert on him?

The parameters to be considered are:

Distance S = 3m

Time t = 0.55s

Since the man started from rest, initial velocity u = 0

Using second equation of motion

S = Ut + 1/2at^2

3 = 1/2 × a × 0.55^2

3 = 1/2 × a × 0.3025

a = 3/ 0.15125

a = 19.83 m/s^2

Force = mass × acceleration

Force = 82 × 19.83

Force = 1626.4 N

Therefore, the force that water exerted on him is 1626.4 N

what do you understand by the term current state and define its SI unit.........​

Answers

Answer:

Explanation:

Current refer to the rate at which electric charge flow or run or move in an electric circuit . It is measured in Ampere or coulumb per second.

The SI unit is Ampere and it is represented by A. It is a scalar quantity.

1 Ampere is the current that will produce an attractive force of 2 × 10^-7 Newton per meter of length between two parallel conductors.

A sound wave traveling through dry air has a frequency of 16 Hz, a
wavelength of 22 m, and a speed of 350 m/s. When the sound wave passes
through a cloud of methane, its wavelength changes to 28 m, while its
frequency remains the same. What is its new speed? (The equation for the
speed of a wave is v= f x.)
A. 350 m/s
B. 9,800 m/s
C. 450 m/s
D. 13 m/s

Answers

Answer:

C. 450

it should be right

The new speed of sound wave is 450 m/s. Hence, option (C) is correct.

What is sound wave?

A sound wave is the pattern of disruption brought on by the movement of energy moving through a medium as it propagates away from the source of the sound (such as air, water, or any other liquid or solid matter).

Pressure waves are produced when an object vibrates, such as a ringing phone, and these waves are known as sound waves.

Frequency of sound wave is = 16 Hz.

Wavelength of the sound wave is = 28 m.

Hence, new speed of sound wave is = 16 × 28 meter/second

= 448 meter/second

=450 meter/second. (approx.)

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All of the following processes are the ones that lead directly to the formation of sedimentary rock EXCEPT-
deposition of rock fragments.
O
freezing of water in cracks in rock.
o
melting of rock deep underground.
movement of wind that carries earth material.

Answers

Answer:

melting of rock deep underground.

Explanation:

The melting of rocks deep underground does not produce sedimentary rocks. Most igneous rocks are produced by this process.

When molten rocks underground called magma is solidified in the subsurface, it results into the formation of igneous bodies.

Sedimentary rocks forms by the accumulation of sediments. Inside the basin where the sediments are deposited, they are compacted, cemented and lithified. Chemical and physical weathering of rocks produces sediments.

Help me please with science

Answers

Answer:its b

Explanation:

a skydiver has a mass of 50.5 kg what is the force of weight on the sky diver?
F= _N

Answers

Answer:

The answer is 494.9 N

Explanation:

I got this same question, and it worked for me! Hope this helps <3

Which observation supports a model of the nature of light in which light acts as a wave?
A. Constructive interference
B. Temperature change
C. Blackbody radiation
D. Photoelectric effect​

Answers

Answer:

Explanation:

Hope this helps!

Answer:

a. constructive interference

Explanation:

100% correct

A 3.0 g bullet traveling at a speed of 400 m/s enters a tree and exits the other side with a speed of 200 m/s. Where did the bullet's lost KE go, and what was the energy transferred?

Answers

Answer:

1800J

Explanation:

Step one:

given data

mass of bullet m= 3g= 0.03kg

initial velocity u = 400m/s

final velocity v= 200 m/s

Step two:

1.The bullet's lost kinetic energy went inside the tree.

2. The energy transferred is computed as

= initial KE- KE final

Initial KE= 1/2mu^2

Initial KE= 1/2*0.03*400^2

Initial KE= 1/2*0.03*160000

Initial KE= 1/2*4800

Initial KE= 2400J

KE final= 1/2mv^2

KE final= 1/2*0.03*200^2

KE final= 1/2*0.03*40000

KE final= 1/2*1200

KE final= 600J

KE transferred = 2400-600

KE transferred= 1800J

Please Help Me!!!!!!​

Answers

Answer:

..

Charcoal is flammable.

Yeah I agree with the other dude it’s flammable

12. What is the photoelectric effect, and what experimental evidence led scientists
to discover it? Does this support the wave or particle theory of light? Why?

Answers

Answer:

Photoelectric effect, phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation.

Explanation:

The effect is often defined as the ejection of electrons from a metal plate when light falls on it. In a broader definition, the radiant energy may be infrared, visible, or ultraviolet light, X-rays, or gamma rays; the material may be a solid, liquid, or gas; and the released particles may be ions (electrically charged atoms or molecules) as well as electrons. The phenomenon was fundamentally significant in the development of modern physics because of the puzzling questions it raised about the nature of light—particle versus wavelike behaviour—that were finally resolved by Albert Einstein in 1905. The effect remains important for research in areas from materials science to astrophysics, as well as forming the basis for a variety of useful devices.

The emission of electrons from the surface of a metal by the action of light is called photoelectric effect. This phenomenon indicates the behavior of light as particles called photons.

What is photoelectric effect ?

The phenomenon of ejection of electrons from the surface of a metal when light of a suitable frequency falls on it is called photoelectric effect. Upon striking the surface of metals , light can set up an electric current which current which corresponds to the flow of electrons. This phenomenon is discovered by Einstein

For instance, visible light can cause ejection of electrons from the surface of metal like cesium which has low ionization enthalpy. This phenomenon is related to the observation that if light is considered as particles.

The particles of light is then called as photoelectrons or photons. Photoelectric effect find application in photoelectric cells used in colorimetry, spectrophotometers etc.

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Jada runs exactly 2 laps around a 400 meter track. What is the displacement?


a:
0
b:
400
c:
800

Answers

Answer:

Option B 400meters

Explanation:

What is displacement

Displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing

Given data

number of laps = 2

length of lap= 400meters

Since after every one lap she returns to her initial position ]

the displacement is 400meters

Using the information given, find the number of Electrons of the unknown element: 6 PROTONS, 6 NEUTRONS, 12 ATOMIC MASS​

Answers

Answer:

the answer is 24 you are correct

Explanation:

Simone is walking her dog on a leash. The dog is pulling with a force of 32 N to the right and Simone is pulling backward with a force of 16 N.

What is the net force on them?
N

Is this force balanced or unbalanced?

Will the dog move forward, backward, or remain stationary?

Answers

Answer:1.16

2.unbalanced

Explanation:

Answer:

What is the net force on them?  

⇒ 16  N

Is this force balanced or unbalanced?  

⇒ unbalanced

Will the dog move forward, backward, or remain stationary?  

⇒ forward

Explanation:

did it :)

In this activity, you will analyze the motion of a cart being pulled up an inclined plane at a constant speed. The angle of the incline can be modified by 10 degrees increments between the values of 30 degrees and 90 degrees. Three different masses can be selected - 2.0kg, 3.0kg, and 4.0kg in each simulation the cart is pull d to the same height - 1.0 meter above the original starting position. For each simulation, the force that must be applied is reported on the screen. The displacement of the cart can be measured using the cm-ruler that is displayed for each trial. Can some help me

Answers

Answer:

darn this too much lololpop

incline plane is given length 12m,load 600 newton,effort 200 Newton, Height 3 metre find its velocity ratio and mechanical advantage​

Answers

Answer:

i. The velocity ratio of the plane is 4.

ii. The mechanical advantage of the plane is 3.

Explanation:

i. The velocity ratio (VR) of an inclined plane is ratio of its length to the height. It is given as;

VR = [tex]\frac{length of the plane}{height}[/tex] = [tex]\frac{l}{h}[/tex]

Given: l = 12 m, L = 600 N, E = 200 N, h = 3 m.

So that,

VR = [tex]\frac{12}{3}[/tex]

     = 4

The velocity ratio of the plane is 4.

ii. Mechanical advantage (MA) expresses the relationship between the load overcome to effort applied.

MA = [tex]\frac{Load}{Effort}[/tex] = [tex]\frac{L}{E}[/tex]

      = [tex]\frac{600}{200}[/tex]

      = 3

The mechanical advantage of the plane is 3.

Therefore, the velocity ratio of the inclined plane is 4, and its mechanical advantage is 3.

The image shows a type of fault.

What stress causes this type of fault to form?
A. Compression
B. Gravity
C. Tension
D. Shearing​

Answers

Answer:

D. Shearing​

Explanation:

D. Shearing​

The Answer is: Shearing

Which diagram shows a situation that would not produce an electric current in the wire?

Answers

Answer:B

Explanation:

A P E X

The diagram in which there is no current in the electric wire is B, the reason behind that it is not connected with the battery.

What is Electrical energy?

When put in an electromagnetic field, charged matter experiences a force due to the fundamental property of electric charge. Positive or negative electrical ions are possible.

When two charge are in opposition to one another, they repel one another. The term "neutral" refers to an object has no net charge. The early understanding of the way charged particles interact is now referred to as classical electrodynamics, and it is still true for issues that do not demand for taking into account quant phenomena.

Electrical charge is a preserved attribute, meaning that the net charged of an isolated system—that is, the sum of the positive and negative charges—cannot change. Particles at the subatomic level carry an electric charge.

The second diagram from the option will have no current in it because the wires are not connected with the battery, so the flow of current will not take place.

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repeating anyone ineed answers plsss?

Answers

Answer:

the answer of question no5 is b

9. Does a blackbody radiator emit light waves? Explain.

Answers

Answer:

"A blackbody is an object that absorbs all of the radiation that it receives(that is,it does not reflect any light,nor does it allow any light to pass through it and out the other side).The energy that the blackbody absorbs heats it up,and then it will emit its own radiation."

Explanation:

Risk*

During the formation of the aurora borealis, the electrons in an atom experience a change in energy levels. Which statement about this change is accurate?

First, the electron releases energy to move to a higher energy level.

First, the electron absorbs energy to move to a higher energy level.

First, the electron absorbs energy to move to a lower energy level.

First, the electron releases energy to move to a lower energy level.

Answers

Answer:

They are deflected as Earth’s magnetic field exerts force on them.

Explanation:

(Not for cheating, Just to help)

As solar wind approaches Earth, what happens to the charged electrons?

They are absorbed as Earth’s magnetic field exerts force on them.

They grow stronger as Earth’s magnetic field exerts force on them.

They grow weaker as Earth’s magnetic field exerts force on them.

They are deflected as Earth’s magnetic field exerts force on them.

First, the electron absorbs energy to move to a higher energy level.

PLS HELP WILL MARK BRAINLIEST IF RIGHT NEED IMMEDIATELY PLEASEEEEE
According to O*NET, what are some common work activities performed by Psychiatrists? Check all that apply.

assisting and caring for others
making decisions and solving problems
performing general physical activities
handling and moving objects
inspecting equipment and structures
getting information

Answers

Answer:

Explanation:

Prescribe medications.

Prescribe treatments or therapies.

Treat patients using psychological therapies.

Collect medical information from patients, family members, or other medical professionals.

Record patient medical histories.

Develop medical treatment plans

Answer:assisting and caring for others

making decisions and solving problems

getting information

Explanation:

I'm pretty sure about the answer. Thank you

Which of the following would be considered an exercise program?

a
basketball
b
football
c
aqua dynamics

d
soccer

Answers

probably c

.........

Answer:

c

Explanation:

I need help please
What % of offspring will be green?

Answers

Answer:

50%

Explanation:

Gg = 50%

gg = 50%

are these punnet squares?

Based on details in The Riddle of the Rosetta Stone, which statement best describes Jean-Baptiste Fourier's influence on Jean-François Champollion?

Answers

Answer:

hello your question is incomplete below is the missing part of the  complete question

which statement best describes Jean-Baptiste Fourier’s influence on Jean-François Champollion? Fourier shared his research about mathematics with Champollion, which aided him in his research. Fourier was the first to introduce Champollion to the hieroglyphs on the Rosetta Stone, which fascinated him. Fourier shared his findings about the Rosetta Stone with Champollion, which helped him in his research. Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages.

answer :  Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages.

Explanation:

Jean-Baptiste Fourier's influence on Jean-Francois Champollion is that Fourier was the first to introduce Champollion to a variety of languages, which prompted his love of languages. also Fourier was a mathematician  who pleaded on the behalf of Champollion when he was about to be adopted into the military.

all 3 of these examples (Volt, Newton, Tesla) are units that come from other metric units true or false?

Answers

Answer:

False

Explanation:

because Only Volt and Newton are units come from metric units, however, the Tesla is not come from Metric units.

A boy is pulling a 150 kg crate with a force of 1150 N. If the crate experiences a frictional force of 490 N, find:

a) The acceleration of the crate.

b) The normal force acting on the crate.

Answers

For the aceleration:

First, let's find the resultant, and applicate 2nd law of Newton using the resultant, so:

R = ma

F - Ff = ma

Data:

F = Force = 1150 N

Ff = Friction force = 490 N

m = Mass = 150 kg

a = Aceleraction = ?

Replacing according our data:

1150 N - 490 N = 150 kg * a

660 N = 150 kg * a

660 N / 150 kg = a

a = 4,4 m/s²   ← Aceleration of the object

For the normal force:

The normal force IS NOT the resultant force, the normal force's the force between the ground and the object, in another words, is the weight of the object, and for the weight:

w = mg

w = 150 kg * 10 m/s²

w = 1500 N   ← Normal force between object and ground.

2 equal charges are kept at x=a and x=-a. there can be only 1 point where the electric field will be 0? how, can anyone explain?

Answers

Answer:

At the midpoint of the line joining the two equal charges

Explanation:

The midpoint of the line joining the two equal charges has equal distance from each charge. Since the charges are at x = a and x = -a, at the midpoint of the line joining the two equal charges, the magnitude of the electric field experienced as a result of each charge is the same. But these two fields are in opposite direction, hence the net resulting electric field would be equal to zero.

25)
Which example is NOT a part of the electromagnetic spectrum?
A)
microwaves
B)
radio waves
electricity
D)
purple light

Answers

Answer:

radio waves electricity

What will most likely happen ifa light wave moves through a solid?
O It will increase in wavelength.
O It will decrease in speed.
O It will increase in speed.
O It will decrease in wavelength.

Answers

it will decrease speed

A laser beam is directed at the Moon, 380,000 km from the Earth. The beam diverges at an angle of \thetaθ of 0.8 x 10-5 rad. What diameter spot, in m, will it make on the Moon?

Answers

Answer:

3040 m

Explanation:

The formula to apply here is ;

d=∅*r  where

d is the diameter of the spot , ?

∅ is angle of divergence in radians, = 0.8 * 10⁻⁵rad

r is distance of Moon from Earth, =380,000 km

Applying the formula as;

d=∅*r

d= {0.8 *10⁻⁵} * 380,000 * 1000

d= 3040 m

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