Question

1. what is the total force if the impulse is 50 n·s and the time is 5 s?
2. a mass of 10 kg experiences a change in velocity of 20 m/s over 4 seconds. what is the total force applied?
3. what is the change in velocity if the total force is 30 n, the mass is 3 kg, and the time is 2 seconds?
4. if a force of 40 n is applied for 3 seconds, what is the impulse?
5. what is the mass if the total force is 60 n and the change in velocity is 15 m/s over 3 seconds?
6. if the initial velocity is 0 m/s and the final velocity is 30 m/s, what is the change in velocity?

Explanation:

Question 1

Step1: Recall Impulse formula

Impulse \( J = F \times t \), so \( F=\frac{J}{t} \)

Step2: Substitute values

\( J = 50 \, \text{N·s} \), \( t = 5 \, \text{s} \), so \( F=\frac{50}{5}=10 \, \text{N} \)

Step1: Find acceleration

Acceleration \( a=\frac{\Delta v}{t}=\frac{20}{4} = 5 \, \text{m/s}^2 \)

Step2: Use \( F = ma \)

\( m = 10 \, \text{kg} \), \( a = 5 \, \text{m/s}^2 \), so \( F=10\times5 = 50 \, \text{N} \)

Step1: Find acceleration from \( F = ma \)

\( a=\frac{F}{m}=\frac{30}{3}=10 \, \text{m/s}^2 \)

Step2: Find \( \Delta v \) from \( a=\frac{\Delta v}{t} \)

\( \Delta v=a\times t = 10\times2=20 \, \text{m/s} \)

Answer:

10 N

Question 2