A 4 kg object is moving with a velocity of 2 m/s. What is the change in momentum if the object comes to a stop?
Correct Answer: -8 kg·m/s
- Step 1: Identify the mass of the object. The mass is 4 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 = 4 kg * 2 m/s.
- Step 4: Calculate the initial momentum: 4 kg * 2 m/s = 8 kg·m/s.
- Step 5: Determine the final velocity when the object comes to a stop. The final velocity is 0 m/s.
- Step 6: Calculate the final momentum using the same formula: final momentum = mass * final velocity. So, final momentum = 4 kg * 0 m/s.
- Step 7: Calculate the final momentum: 4 kg * 0 m/s = 0 kg·m/s.
- Step 8: Calculate the change in momentum using the formula: change in momentum = final momentum - initial momentum.
- Step 9: Substitute the values: change in momentum = 0 kg·m/s - 8 kg·m/s.
- Step 10: Calculate the change in momentum: change in momentum = -8 kg·m/s.
- Momentum – Momentum is the product of an object's mass and its velocity, and it is a vector quantity.
- Change in Momentum – The change in momentum is calculated as the difference between the final momentum and the initial momentum.
