When an average force f is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by 1/2 mv2

part b
if triply the force is exerted over triply the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy?
express your answer as an integer.

Explanation :

When an average force F is exerted over a certain distance on a shopping cart of mass m, its kinetic energy increases by .

We know that work done is equal to the change in kinetic energy.

Let kinetic energy increases from 0 to

 So,                

                       ........................(1)

According to second condition if both force and distance is tripled, then kinetic energy increases by .

So,                        

                               ..........................(2)

Using equation (1) in (2)

This is the resulting increase in kinetic energy.

Original increase in kinetic energy is .

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