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Q.

What happens to the kinetic energy of a body if its velocity is halved?

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a

 Become four times

b

Reduce to half of its original value

c

 Get doubled

d

Reduce to one-fourth of its original value

answer is D.

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Detailed Solution

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A particle or an item that is in motion possesses a sort of energy called kinetic energy. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force.

 Kinetic Energy =12mv2 ( m is the mass of the body and v is the velocity at which the body is moving)

Then, the equation changes when the velocity is cut in half.

Kinetic energy, K.E

 =12mv2

=12m v22

=12mv24

=1412mv2

We can see from the equation above that the kinetic energy has decreased to one-fourth of its initial value.


 

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