Physics

Problem

A particle of mass

m

is moving along the

x

-axis with initial velocity

u\hat{i}

. It collides elastically with a particle of mass

10m

at rest and then moves with half its initial kinetic energy (see figure). If

\sin \theta_1 = \sqrt{n} \sin \theta_2

, then value of

n

is ![Diagram showing an elastic collision. A particle of mass m moves along the x-axis with initial velocity u\hat{i} and collides with a stationary particle of mass 10m. After the collision, the first particle moves at an angle \theta_1 above the x-axis, and the second particle moves at an angle \theta_2 below the x-axis. The masses are labeled m and 10m.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/79502cc77a4b44e4a3c8ea6a3355c6aa/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

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