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AP® Physics 1 & 2

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Rate of Momentum Delivery

APPH12-2E4LQ1

A cubic container has side length $L$ and is filled with an ideal gas. Consider a single gas molecule of mass $m$ that can move freely along the x-axis with a constant speed $v$. The molecule has a perfectly elastic collision with the wall of the container.

In terms of variables given and fundamental constants, find the average rate at which the molecule delivers momentum to the wall of the container.

A

$\cfrac { m{ v }^{ 2 } }{ 4{ L }^{ 2 } } $

B

$\cfrac { 2mv }{ { L }^{ 2 } } $

C

$\cfrac { 3mv }{ { L } } $

D

$\cfrac { m{ v }^{ 2 } }{ L } $