momentum increases50% find kinetic energy
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Let initial momentum be p and kinetic energy be K
p=mv
If p increases by 50%, the new momentum
p'=p+p/2= 3p/2
The initial K=mv^2/2=(mv) ^2/2m=p^2/2m
The new kinetic energy K'=(p')^2/2m
So K'/K=(p')^2/p^2
K'/K= 9/4
K'=9K/4
% change = [(K'–K)×100%]/K=(5×100%)/4=125%
So the percentage increase in kinetic energy is 125%
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