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?

Respuesta :

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 [tex]W=Fd[/tex]

From energy theorem we know that

Work done is equal to kinetic energy

So [tex]Ke=Fd[/tex]

Now force is tripled so new force = 3F

And distance is also tripled so new distance [tex]=3d[/tex]

New kinetic energy [tex]=3F\times 3d=9Fd[/tex]

So kinetic energy will be 9 times of initial energy