Tessellate S.T.E.M.S. (2019) - Physics - Category B - Set 1 - Subjective Problem 2

A closed system consists of two particles of masses $m$ and $M$ , which move at right angles to each other with velocities $v$ and $u$ . Find: (a) the momentum of each particle in the reference frame fixed to their centre of mass and (b) the total kinetic energy of the two particles in the reference frame fixed to their centre of mass

This problem is a part of Tessellate S.T.E.M.S (2019)

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
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`\boxed{123}`	$\boxed{123}$

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$