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The given figure shows a plot of the time-dependent force $F_x$ acting on a particle moving along the $x$-axis. What is the total impulse delivered by this force to the particle from $t = 0$ to $t = 2$ s? A. 0 B. 1 kg·m/s C. 2 kg·m/s D. 3 kg·m/s

1. 0
2. 1 kg·m/s
3. 2 kg·m/s
4. 3 kg·m/s

Correct answer: 2 kg·m/s

Solution

Impulse is given by $J = \int F\,dt$, which equals the area under the force-time graph. From the graph, the net signed area over $0$ to $2$ s is $2$ kg·m/s. Hence the total impulse is $2$ kg·m/s.

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