[QUESTION ❓]

1. A force of 56.0N acts on a body for 12.0 s. How much impulse is produced by the force?

2. A 5.00kg body accelerates from 3.25 m/s to 9.75 m/s upon acted by a certain force. Compute the impulse produced by the exerted force.

[ANSWER]

1. 672 Ms

2. Below :)

Step 1: Write the given

1. 5.0 kg body
2. Initial velocity of 3.25 meter per sec
3. Final velocity of 9.75 meter per sec
4. Time of 3.0 sec when a force act upon it

Step 2: Determine the formula/s that may be utilized in answering the problem

*Equation 1 to 3 is for kinetic calculation

1. [tex]v(t) = v0 + at[/tex]
2. [tex]x(t) = x0 + v0t + \frac{1}{2} {at}^{2} [/tex]
3. [tex]v {(t)}^{2} = v \frac{2}{0} + 2a(x(t) - x 0)[/tex]
4. Impulse= Force*time
5. Change in momentum= mass* (Change in velocity)
6. Force= mass*acceleration

Step 3: Find the change in momentum of the body

1. Change in momentum= (5 kg) (9.75 m/s - 3.25 m/s)
2. Change in momentum of the body is equal to 32.5 kg-m/s

Step 4: Find the magnitude of the force by first finding the acceleration of the body

1. Use equation 1: 9.75 m/s=3.25 m/s + (a)(3 s)
2. 9.75-3.25=3a
3. The acceleration of the body is equal to 2.167 m/s²
4. Magnitude of force: F=(5 kg)(2.167 m/s²)
5. The magnitude of force is equal to 10.83 N

Step 5: Find the impulse produced by the force

1. Impulse= F*time
2. Impulse= 10.83 N * 3 s
3. Impulse produced by the force is equal to 32.5 N-s

Answer:

a) Momentum of body is equal to 32.5 kg-m/s

b) Impulse produced by the force is equal to 32.5 N-s or kg-m/s

c) Magnitude of force is equal to 10.83 N

HOPE IT HELPS ☺

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