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Question

A missile has been fired with an initial velocity u. If the velocity is tripled, what will be the corresponding change in its kinetic energy?


A

Remains same

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B

Becomes one-third of the initial kinetic energy

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C

Becomes nine times the initial kinetic energy

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D

Becomes thrice of the initial kinetic energy

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Solution

The correct option is C

Becomes nine times the initial kinetic energy


Kinetic energy of an object, KE=12mv2, where m is the mass of the object and v is the velocity of the object.

Given: Initial velocity is u.
So, initial kinetic energy KE=12mu2

If the velocity of the object becomes thrice its initial velocity, then, v=3u.
The corresponding change in its kinetic energy is

KE=12m(3u)2=9×12mu2=9KE

Therefore, the kinetic energy becomes 9 times the initial kinetic energy.


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