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 ________.

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 ________.,

MARKS App · Accepted Answer

From momentum conservation in perpendicular direction of initial motion. mv 1 sinθ 1 = 10 mv 2 sinθ 2 Given that 1 2 mu 2 1 2 = 1 2 mv 1 2 … … . ( 2 ) From equation (1) & (2) sinθ 1 = 10 sinθ 2 n = 10

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