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 t

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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 &#952; 1 = n sin &#952; 2 then value of n is ________.

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From momentum conservation in perpendicular direction of initial motion. mv 1 sin&#952; 1 = 10 mv 2 sin&#952; 2 Given that 1 2 mu 2 1 2 = 1 2 mv 1 2 &#160;&#160; &#8230; &#8230; . ( 2 ) From equation (1) & (2) sin&#952; 1 = 10 sin&#952; 2 n = 10

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 ________.

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More from Center of Mass, Momentum and Collision

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 &#952; 1 = n sin &#952; 2 then value of n is ________.

Correct answer

Step-by-step solution

More from Center of Mass, Momentum and Collision

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 ________.