A cart\'s moves on a low friction track towards a force sensor bumper, its veloc

Question

A cart's moves on a low friction track towards a force sensor bumper, its velocity recorded by a motion detector. The cart collides elastically with a force sensor and moves at a different velocity. The area of the force versus time curve is plotted against the change in velocity of the cart for a variety of initial velocities. Estimate the change in momentum of the cart from the area under the Force versus time plot.

12 kgm/s

3 kgm/s

5 kgm/s

10 kgm/s

7 kgm/s

12 kgm/s

3 kgm/s

5 kgm/s

10 kgm/s

7 kgm/s

Explanation / Answer

Actually the equation of curve is not given , but in the case if I assume it straight then it will form a
triangle of base = 4 seconds and altitude of = 3N
therefore
Area of this graph will give us the change in momentum
Area = (1/2)Base*height = (1/2)*4*3 = 6 N-s or 6 kgm/s

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