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Theorem

Impulse-Momentum
A force of 58 N acts on a 29 kg body for 15 s. Find the:
11-12. (a) impulse produced by the force,
13. (b) the resulting change in momentum of the bod
14-15. (c) speed of the body at the end of 15 s.

1 Answer

4 votes

To find the impulse produced by the force, we can use the formula:

Impulse = Force × Time

(a) Impulse produced by the force = 58 N × 15 s = 870 N·s

The impulse produced by the force is 870 N·s.

To find the resulting change in the momentum of the body, we can use the formula:

Change in Momentum = Mass × Change in Velocity

(b) Since the force acts on the body for 15 seconds, the change in velocity can be calculated using the formula:

Change in Velocity = (Force / Mass) × Time

Change in Velocity = (58 N / 29 kg) × 15 s = 116 m/s

The resulting change in momentum of the body is given by:

Change in Momentum = Mass × Change in Velocity = 29 kg × 116 m/s = 3364 kg·m/s

The resulting change in momentum of the body is 3364 kg·m/s.

To find the speed of the body at the end of 15 seconds, we need to calculate the final velocity. We can use the formula:

Final Velocity = Initial Velocity + (Change in Velocity)

Since the problem doesn't mention the initial velocity, we assume it to be zero (at rest).

(c) Speed of the body at the end of 15 s = Final Velocity = Change in Velocity = 116 m/s

The speed of the body at the end of 15 seconds is 116 m/s.

User Predrag Davidovic
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