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The area of the $F$-$t$ curve is $A$, where $F$ is the force on one mass due to the other. If one of the colliding bodies of mass $M$ is initially at rest, its speed just after the collision is: A. $A/M$ B. $M/A$ C. $AM$ D. $2A/M$

1. A/M
2. M/A
3. AM
4. 2A/M

Correct answer: A/M

Solution

The area under the $F$-$t$ graph is the impulse $A$. For a body initially at rest, impulse equals final momentum, so $Mv = A$. Therefore, $v = A/M$.

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