Draw an appropriate graph of the data and, from

Chapter 9, Problem 55P

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QUESTION:

Problem 55P

Draw an appropriate graph of the data and, from the slope of the best-fit line, determine the impulse.

A 500 g particle has velocity vx = − 5.0 m/s at t =− 2 s. Force Fx = (4 − t2)N is exerted on the particle between t = − 2 s and t = 2 s. This force increases from 0 N at t = − 2 s to 4 N at t =0 s and then back to 0 N at t =2s. What is the particle’s velocity at t = 2 s?

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QUESTION:

Problem 55P

Draw an appropriate graph of the data and, from the slope of the best-fit line, determine the impulse.

A 500 g particle has velocity vx = − 5.0 m/s at t =− 2 s. Force Fx = (4 − t2)N is exerted on the particle between t = − 2 s and t = 2 s. This force increases from 0 N at t = − 2 s to 4 N at t =0 s and then back to 0 N at t =2s. What is the particle’s velocity at t = 2 s?

ANSWER:

Step 1 of 3

When an object receives a force for a short time, this force with time is called the impulse, so it is the area under the curve of the force-versus-time graph and it is the same as momentum. The impulse is the quantity  and it is given by equation (11.6) in the form

    ….. Equation (1)

We are given the force in terms of time  in the form

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