Question

Kinetic energy=1/2mv^2, if velocity is half , then what is the kinetic energy?​

Answer 1

Explanation:

When velocity is halved, its kinetic energy becomes 1/4th

Answer 2

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Kinetic energy is the energy of a body which is possessed by a body due to it's motion :-

It is defined by equation :-

$ke = \frac{1}{2} \times m {v}^{2}$

$ke = \frac{m {v}^{2} }{2}$

In this equation :-

• m = mass of body
• v = velocity of body

Now, according to the given condition when velocity of body is doubled them mass doesn't change because it's inherent property of a body but kinetic energy changes. When velocity of a body is doubled then kinetic energy becomes :-

$ke = \frac{m {2v}^{2} }{2}$

Both (2) in numerator and (2) in denominator cancels each other and it becomes :-

$ke = m {v}^{2}$

Thus when the velocity of a body is doubled then kinetic energy changes from 1/2 ×mv^2 to mv^2.

We can also say when the velocity of a body is doubled then the kinetic energy of body also gets doubled.

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BY SCIVIBHANSHU

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