Question 1 1: Questions 1-a and b refer to procedure 1. Assume the mass of the c

Question

Question 1

1:

Questions 1-a and b refer to procedure 1. Assume the mass of the cart is 766 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 = 2.71 N at time t = 3.54 s. Then the spring pushes the cart away, and the force decreases linearly until it goes back to F = 0 at time t =4.1 s.

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

J = ________ N-s

Question 2

1-b:

For the graph described above: what does this graph tell you about the initial speed of the cart vo and the final speed of the cart vf

vo must be equal than vf

vo must be greater than vf

vo must be less than vf

You cannot tell if vo is greater than or less than vf

vo must be equal than vf

vo must be greater than vf

vo must be less than vf

You cannot tell if vo is greater than or less than vf

Explanation / Answer

Here ,

t1 = 3 s

Fmax = 2.71 N

t2 = 3.54 s

t3 = 4.1 s

1a)

magnitude of impulse exerted = area under the force-time curve

magnitude of impulse exerted = 0.5 * Fmax * (t3 - t1)

magnitude of impulse exerted = 0.5 * 2.71 * (4.1 - 3)

magnitude of impulse exerted = 0.5 * 2.71 * 1.1

magnitude of impulse exerted = 1.491 N.m

the magnitude of the impulse exerted by the spring on the cart is 1.491 N.m

2)

1-b

as the impulse is positive

the change in momentum is equal to positive

the final speed of the cart vf

is    c)  
vo must be less than vf

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