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ID: 1704510 • Letter: #

Question

<p><img src="https://s3.amazonaws.com/answer-board-image/12cfef77-f878-4e08-a160-3592b9345c69.jpg" alt="image from custom entry tool" /></p>
<p>The graph above shows the force on an object of mass M as a function of time. For the time interval 0 to 4 s, the total change in momentum of the object is</p>
<p>A. 40 kg/s</p>
<p>B. 20 kg/s</p>
<p>C. 0 kg/s</p>
<p>D. -20 kg/s</p>
<p>E. indeterminable unless the mass M of the object is known</p>

Explanation / Answer

Integral of F dt = change in momentum. This integral is the area under the curve in the picture (by definition of integral). The area being 0, the change in momentum is 0. Answer is (c)