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Question

The kinetic energy of a body increases by 300% due to change in its velocity. The momentum increases by

A
100%
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B
200%
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C
300%
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D
400%
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Solution

The correct option is A 100%
when the kinetic energy increasing by 300%, new kinetic energy t will be
K=k+300% k
K=K+3K
K=4K...........(i)
We know that K.E=K=p22m(m is the mass of object)
,equation (i) become
=p22m=4p22m=p2=4p2p=4p2p=2p..........(ii)
% change in momentum =ppp×100
=2ppp×100=1 \times 100=100$
increases in momentum is 100%.

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