What is the impulse on a 3.0 kg particle that experiences the force shown in FIGURE EX11.4?

Question

Graph showing force vs. time for a 3.0 kg particle in physics chapter on impulse.

Accepted Answer

Hi, everyone in this practice problem, we are being asked to determine the magnitude of the impulse that will be exerted on a two kg block by the force shown in our figure. So in the figure, we will have an X and Y plot where the time is going to be in the X axis in seconds. And FX or the force is going to be in the Y axis. In Newton, The shape of the force is going to be as a rectangle where we'll have a width of 12 seconds and a height of five Newton. So the options given for the magnitude of the impulse are 100 and 20 Newton seconds, 90 Newton seconds, 60 Newton seconds and 30 Newton seconds. So to find the impulse of the object, we need to actually find the area under the force versus time graph, which is the graph that we have here. So area is going to equals to impulse. And in this case, impulse is then going to be the area of the, of the triangle which is half times the width times the height. The wit is going to actually be seconds and the height is going to be five Newton. So that will then give us an impulse value of 30 n seconds. So the impulse of 30 Newton seconds is going to be the answer to this practice problem which will correspond to option D. So option D with a magnitude of impulse being 30 Newton seconds is going to be the answer to this practice problem. If you guys still have any sort of confusion, please make sure to check out our other lesson videos on similar topic and that will be all for this one. Thank you.

What is the impulse on a 3.0 kg particle that experiences the force shown in FIGURE EX11.4?

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