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Center of Mass Momentum a question bank (Physics)

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Q1.

A gas molecule of mass $m$, moving with velocity $\vec{v} = a\hat{i} + b\hat{j} + c\hat{k}$ hits a container wall that is parallel to the $xz$-plane. Assuming a perfectly elastic collision, what is the change in momentum of the molecule?

(A)

$-2ma\hat{i}$

(B)

$-2mb\hat{j}$

(C)

$-2mc\hat{k}$

(D)

zero

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Q2.

Two billiard balls A and B, each of mass $50\ \text{g}$ and moving in opposite directions at a speed of $5\ \text{m/s}$ each, collide and rebound at a same speed. The magnitude of impulse imparted to each ball is

(A)

$0.1\ \text{kg}\cdot\text{m/s}$

(B)

$0.5\ \text{kg}\cdot\text{m/s}$

(C)

$0.125\ \text{kg}\cdot\text{m/s}$

(D)

$0.25\ \text{kg}\cdot\text{m/s}$

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