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.