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

Learn more about Elasticity here: https://brainly.com/question/9821607


Related Questions

What is the explanation for the fact that the desert sand is very hot in the day and very cool at night? 1. Sand reflects light very well.
2. Sand is a bad heat conductor.
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Answers

3. Sand has a low specific heat compared to air

Which of the following is NOT a benefit of dancing?


1. Improves balance and coordination.

2. Helps boost your mood.

3. Challenges your brain.

4. Isolates you from other people.

Answers

Answer:

4

Explanation:

4 isolates you from other people

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Answer: it’s the third one ☝️

Which of the following is an example of work: bowling or reading?

Answers

Answer:

bowling

Explanation:

bowling is an example of work because it involves hand movement.

A ball is pushed into a spring-loaded launcher with a force of 20 N, which compresses the spring 0.08 m.
A) What is the spring constant of the spring
B) Find the elastic potential energy (PEs) stored in the spring (or the work done on the spring)

Answers

Answer:

0.8J

Explanation:

Given parameters:

Force  = 20N

Compression  = 0.08m

Unknown:

Spring constant  = ?

Elastic potential energy  = ?

Solution:

To solve this problem, we use the expression below:

           F = k e

F is the force

k is the spring constant

e is the compression

             20  = k x 0.08

              k  = 250N/m

Elastic potential energy;

       EPE  = [tex]\frac{1}{2}[/tex] k e²    =  [tex]\frac{1}{2}[/tex]  x 250 x 0.08²

 Elastic potential energy = 0.8J

In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees. By 2017, the area covered by trees was reduced to 300,000,000 hectares. What is the percentage decrease in the area covered by trees between 1630 and 2017?

Answers

Answer:

29.41%

Explanation:

Given that,

In 1630 at the beginning of European settlement, about 425,000,000 hectares of the United States were covered with trees.

By 2017, the area covered by trees was reduced to 300,000,000 hectares.

We need to find the percentage decrease in the area covered by trees between 1630 and 2017.

The percentage decrease in any value is given by :

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So, the percentage decrease in the area covered by the trees is 29.41%.

Emilio pushes a 100 kg freshman with 200 N of force. How much is the freshman accelerated?

Answers

Explanation:

F = MA

200 = 100 * A

A = 200/100

A = 2m/sec^2

hope it helps you

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Answers

The answer is (C) Diagram 3

what is SI unit electric current ?​

Answers

Answer:

the si unit of electric current is Ampere .the flow of charge in a close circuit is called electric current

A brick, milk, and ice cubes are all examples of matter.​

Answers

true because

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milk: liquid

ice cube: solid

This would be true. All liquids, solids, are gases are matter. :)

They confessed their guilt.​

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Answer:

heyyy

May I Know the full question

That’s not a question???? What’s the question

What does anaerobic mean?
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B. Without oxygen
C. Intense physical output
D. With oxygen

Answers

Answer:

without oxygen because

Answer:

Without oxygen

Explanation:

While having an argument, two people each push on a couch with 200 N of force in opposite directions. What is the net force on the couch? Explain how you found the answer.

Answers

Answer:

Explanation:

Net force = 0

This is a very instructive question to do. Here's what the situation looks like

[tex]====>\box{Couch) }<====\\[/tex]

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The net result is 0.

Put in formula form, it looks like this.

Going left is the negative direction

F_right - F_left = 200 - 200 = 0

All of the following processes are the ones that lead directly to the formation of sedimentary rock EXCEPT-
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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.

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true or false

Answers

SINGLE TO RIGHT OR CENTER FIELD-On a single to center or right field the first baseman will be the cutoff to home. The shortstop will cover second base.

Calculate the volume of water in gallons that 4.1 mL of water takes up. Express your answer in scientific notation,

Answers

Explanation:

The unit of volume derived from SI units(1) is the cubic meter, m3.

Chemists in a laboratory usually deal with much smaller volumes than cubic meters and the metric but non-SI units of liter or litre (L) and milliliter or millilitre (mL or ml) are in common use.

In 1964 the litre was redefined as being equal to exactly 1 cubic decimetre:

1 L = 1 dm3

So 1 milliltre = 1 cubic centimetre

1 mL = 1 cm3 (= 1cc)

Other metric units of measuring volume are given in the table below:

large volume → → → → → → → → → → small volume

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symbol TL GL ML kL hL daL dL cL mL µL nL pL fL aL

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Answers

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Answers

The normal force felt by the box has magnitude

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Answers

Answer:

105 g.m/s

Explanation:

The law of conservation of momemtum states that initial momemtum is equal to final momentum.

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initial momentum of green ball = 0 g.m/s

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C. electrical to mechanical to light

D. chemical to electrical to solar

A. light to electrical to chemical
(First answer gets brainliest)

Answers

Answer:

B. chemical to electrical to light

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The electrons due to their drift velocity which heats up the bulb filament hence producing light.

Answer:

B

Explanation:

because i learned in 5th grade

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Answers

the picture is too foggy re upload it

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Answers

Answer:

D. Shearing​

Explanation:

D. Shearing​

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The cease to exist when placed in a liquid

Answers

Answer:

its b

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Answer:

Explanation:

The answer should be electromagnetic radiation(can i have a a brainliest) please

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Answers

Answer:I had two questions: 1) Shouldnt the equation be : Change of internal energy= Change in Ke or KEi +Ui=KEf+Uf .. I cant seem to understand how the change in KE+ Change in Internal Energy equals 0 2) Also, it has a note which says that if the bullet alone was chosen as a system, then work would be done on it and the heat transfer woudl occur. How would one formulate an equation for this?

Explanation:

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.

How are mass and volume alike?

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B.) The cease to exist when placed in a liquid

Answers

THE ANSWER IS B THE CEASE TO EXIST WHEN LAVED IN LIQUDI hope that helped

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Answers

Answer:

hope this answers will help you

Explanation:

If you find it appropriate then plz mark as brainliest

WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back idc !!!!!!

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A. Income


B. Military force


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Answers

Answer:

C is the correct answer and i hope ur having a good day UwU

Explanation:

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.

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