A particle of mass m is moving along the x -axis with initial velocity u i ^ . It collides elastically with a particle of mass 10 m at rest and then moves with half its initial kinetic energy (see fig

Question

A particle of mass m is moving along the x -axis with initial velocity u i ^ . It collides elastically with a particle of mass 10 m at rest and then moves with half its initial kinetic energy (see figure). If sin θ 1 = n sin θ 2 then value of n is ________.

TestHub · Accepted Answer

From momentum conservation in perpendicular direction of initial motion.
${mv}_{1} {sinθ}_{1} = 10 {mv}_{2} {sinθ}_{2}$
Given that $(\frac{1}{2} {mu}^{2}) \frac{1}{2} = \frac{1}{2} {mv}_{1}^{2} \dots \dots . (2)$
From equation (1) & (2)
${sinθ}_{1} = \sqrt{10} {sinθ}_{2}$
$n = 10$

Physics - Center of Mass Question with Solution | TestHub

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