Three bodies P,Q and R have masses m kg,2m | vedclass

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(B) The kinetic energy $K$ is related to momentum $p$ and mass $m$ by the formula $K = \frac{p^2}{2m}$.Rearranging this formula for momentum,we get $p

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$R$

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(B) The kinetic energy $K$ is related to momentum $p$ and mass $m$ by the formula $K = \frac{p^2}{2m}$.Rearranging this formula for momentum,we get $p^2 = 2mK$,which implies $p = \sqrt{2mK}$.Since all three bodies have equal kinetic energy ($K$ is constant),the momentum is directly proportional to the square root of the mass: $p \propto \sqrt{m}$.Comparing the masses: $m_P = m$,$m_Q = 2m$,and $m_R = 3m$.Since $m_R > m_Q > m_P$,it follows that $p_R > p_Q > p_P$.Therefore,the body with the greatest mass,which is $R$,will have the greatest momentum.

Three bodies $P$,$Q$ and $R$ have masses $m \ kg$,$2m \ kg$ and $3m \ kg$ respectively. If all the bodies have equal kinetic energy,then which body/bodies will have the greater momentum?

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