5.Work, Energy, Power and Collision
medium

A particle of mass ${m_1}$ is moving with a velocity ${v_1}$and another particle of mass ${m_2}$is moving with a velocity ${v_2}$. Both of them have the same momentum but their different kinetic energies are ${E_1}$and ${E_2}$respectively. If ${m_1} > {m_2}$ then

A

${E_1} < {E_2}$

B

$\frac{{{E_1}}}{{{E_2}}} = \frac{{{m_1}}}{{{m_2}}}$

C

${E_1} > {E_2}$

D

${E_1} = {E_2}$

(AIPMT-2004)

Solution

(a)$E = \frac{{{P^2}}}{{2m}}$ if $P =$ constant then $E \propto \frac{1}{m}$
According to problem ${m_1} > {m_2} \,\therefore \, {E_1} < {E_2}$

Standard 11
Physics

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