A 10 kg object is moving with a velocity of 2 m/s. If it comes to rest, what is the change in momentum?
Practice Questions
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Q1
A 10 kg object is moving with a velocity of 2 m/s. If it comes to rest, what is the change in momentum?
20 kg·m/s
10 kg·m/s
5 kg·m/s
0 kg·m/s
Initial momentum = mv = 10 kg * 2 m/s = 20 kg·m/s. Final momentum = 0. Change in momentum = 20 kg·m/s - 0 = 20 kg·m/s.
Questions & Step-by-step Solutions
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Q
Q: A 10 kg object is moving with a velocity of 2 m/s. If it comes to rest, what is the change in momentum?
Solution: Initial momentum = mv = 10 kg * 2 m/s = 20 kg·m/s. Final momentum = 0. Change in momentum = 20 kg·m/s - 0 = 20 kg·m/s.
Steps: 10
Step 1: Identify the mass of the object. The mass is 10 kg.
Step 2: Identify the initial velocity of the object. The initial velocity is 2 m/s.
Step 3: Calculate the initial momentum using the formula: momentum = mass * velocity. So, initial momentum = 10 kg * 2 m/s.
Step 4: Perform the multiplication: 10 kg * 2 m/s = 20 kg·m/s. This is the initial momentum.
Step 5: Identify the final velocity of the object. Since the object comes to rest, the final velocity is 0 m/s.
Step 6: Calculate the final momentum using the same formula: momentum = mass * velocity. So, final momentum = 10 kg * 0 m/s.
Step 7: Perform the multiplication: 10 kg * 0 m/s = 0 kg·m/s. This is the final momentum.
Step 8: Calculate the change in momentum by subtracting the final momentum from the initial momentum: change in momentum = initial momentum - final momentum.
Step 9: Substitute the values: change in momentum = 20 kg·m/s - 0 kg·m/s.
Step 10: Perform the subtraction: change in momentum = 20 kg·m/s.
