Question

If triply the force is exerted over triple the distance, how does the resulting increase in kinetic energy compare with the original increase in kinetic energy?

Answer 1

Answer:

Kinetic energy will be 9 times of initial energy

Explanation:

Let the initial force is F and initially the distance is d

So work done by the force $W=Fd$

From energy theorem we know that

Work done is equal to kinetic energy

So $Ke=Fd$

Now force is tripled so new force = 3F

And distance is also tripled so new distance $=3d$

New kinetic energy $=3F\times 3d=9Fd$

So kinetic energy will be 9 times of initial energy