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Question

# If the kinetic energy of a body is increased by 300% then determine the percentage increase in the momentum

A
100 %
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B
150 %
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C
300
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D
175 %
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Solution

## The correct option is A 100 %When the kinetic energy increases by 300%,new kinetic energy will beK′=K+300%KK′=K+3KK′=4K.............(i)We know that,K.E, K=P22m 9m is the mass of object0Therefore, eq.(i) becomeP′22m=4p22mp′2=4p2p′=√4p2p′=2p...........(ii)% change in momentum =p′−pp×100=2p−pp×100%=1×100=100%Therefore, increases in momentum is 100%.

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