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

Kinetic energy will be 9 times of initial energy

Step-by-step 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* 3d=9Fd`

So kinetic energy will be 9 times of initial energy