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. Which is the correct answer?

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

change in momentum = area under the graph = area of triangle + area of square + area of two triangles at left and right of the curve at the bottom

area of triangle = (0.5) base x height = (0.5) (8 - 6)(3 - 1) + (2 x 1) + 2 (0.5 x 0.5 x 1) = nearly 5

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.