8. The graph below shows the variation of the resultant force F acting on a box with time t.
The box starts to move from rest. Which of the following graphs shows the variation of the momentum pp of the box with time tt?
A
Explanation:
The area underneath of the force-time graph gives the change in momentum of the box. Since the area increases with time at a constant rate, the momentum should increase at a constant rate. The only graph that satisfies this condition is the graph in A.
Therefore, the answer is A.
Alternatively, the impulse equation gives Δp=FΔt .
As F is a constant, Δp is directly proportional to t and a straight line through the origin is expected.