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Q.

A car is accelerated on a levelled road and attains a speed of 4 times its initial speed. In this process, the kinetic energy of the car


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a

does not change

b

becomes 4 times that of initial kinetic energy

c

becomes 8 times that of initial kinetic energy

d

becomes 16 times that of initial kinetic energy 

answer is D.

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Detailed Solution

The kinetic energy of the car increases by 16 times.
The  kinetic energy of a body depends upon the mass and velocity of a body. The formula for kinetic energy (K.E.) can be expressed as
     K.E.=12mv2
where m is the mass of the object and v is its velocity.
It is given that speed is increased by four times. Therefore,
new velocity(v')=4v.
New kinetic energy KE' will be
KE'=12m(4v)2
K.E'=16 K.E. 
 
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