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If the linear momentum of a …

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If the linear momentum of a body increases by 20percent ,what will be the percentage increases in kinetic energy of the body?
  • 1 answers

Sia ? 6 years, 3 months ago

Let Kinetic energy = k
Momentum = P = mv
Mass = m
{tex}K=\frac{1}{2} m v^{2}=\frac{P^{2}}{2 m}{/tex}
if momentum is increabed by 20%
{tex}\frac{\left(p+\frac{20}{100} p\right)^{2}}{2 m}=\frac{p^{2}(1.2)^{2}}{2 m}=1.44 \mathrm{K}{/tex}= N present kinetic energy{tex} {/tex}
{tex}\frac{\Delta K}{K} \times 100=44 \%{/tex}
{tex}\therefore{/tex} kinetic energy will increase by 44% if momentum is increased by 20%

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