For varying forces, the **total impulse** is the **area **under the Force-Time graph.

$\overline{){\mathbf{J}}{\mathbf{=}}{\mathbf{Area}}{\mathbf{\left[}}{\mathbf{F}}{\mathbf{\right(}}{\mathbf{t}}{\mathbf{\left)}}{\mathbf{\right]}}}$

The force vs. time graphs for two collisions are shown. Which collision has the largest impulse?

A. The impulses are the same.

B. The impulse for collision 2 since it lasts longer.

C. The impulse for collision 1 since it has the larger maximum force.

D. Cannot be determined since the initial an final speeds are unknown.

E. Cannot be determined since the masses are unknown.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Impulse with Variable Forces concept. You can view video lessons to learn Impulse with Variable Forces. Or if you need more Impulse with Variable Forces practice, you can also practice Impulse with Variable Forces practice problems.

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Based on our data, we think this problem is relevant for Professor Almaraz-Calderon's class at FSU.