Newton's laws of motion and momentum

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Question 14
Medium

An automated delivery cart travels at a constant initial speed UUU. The operator applies the brakes at time t=0t = 0t=0 and the cart comes to a stop at t=2.5 st = 2.5\text{ s}t=2.5 s.

The graph below shows the variation of the braking force FFF on the cart with time ttt.

A graph of braking force F in Newtons against time t in seconds. The vertical axis F ranges from 0 to 1000 N, with major grid lines every 200 N and minor grid lines every 20 N. The horizontal axis t ranges from 0 to 3.0 s, with major grid lines every 0.5 s and minor grid lines every 0.05 s. A straight line starts at F = 800 N at t = 0 and decreases at a constant rate, reaching F = 0 N at t = 2.5 s.

a.

Use Newton's second law of motion to explain the physical quantity represented by the area under the FFF-ttt graph.

[2]
b.

The total mass of the cart is 50 kg50\text{ kg}50 kg. Use the graph to calculate the initial speed UUU.

[3]
c.

Describe the shape of the speed-time graph of the cart from t=0t = 0t=0 to t=2.5 st = 2.5\text{ s}t=2.5 s. State the initial and final coordinates on this graph.

[3]

Newton's laws of motion and momentum Questions

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