Assume the mass of the cart is 965 g, and there is no friction anywhere. Suppose

Question

Assume the mass of the cart is 965 g, and there is no friction anywhere. Suppose that the graph of force vs. time for a very unusual spring has only straight lines. The cart hits the spring at t = 3.00 s, so force F = 0 up to that point. Then, after t = 3.00 s, the force increases linearly until it reaches a maximum at Fmax = 3.93 N at time t = 3.57 s. Then the spring pushes the cart away, and the force decreases linearly until it goes back to F = 0 at time t =4.43 s.

1-a) Find the magnitude of the impulse exerted by the spring on the cart.

J = ________ N-s

Explanation / Answer

The magnitude of the impulse exerted by the spring on the cart.is given by

Here given that the Fmax =3.93N

The difference in time period is given by (t) =4.43 -3.00 =1.43s

From the given graph Fmax becomes height and the time becomes the base

Then from the traingle (1/2)*base *height =0.5*1.43*3.93 =2.81N.s is impulse exerted by the spring on the cart

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