A 2 kg object moving at 10 m/s collides with a 3 kg object at rest. What is the

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Question: A 2 kg object moving at 10 m/s collides with a 3 kg object at rest. What is the total momentum before the collision?

Options:

Correct Answer: 20 kg·m/s

Solution:

Total momentum = momentum of 2 kg object + momentum of 3 kg object = (2 kg × 10 m/s) + (3 kg × 0 m/s) = 20 kg·m/s.

A 2 kg object moving at 10 m/s collides with a 3 kg object at rest. What is the total momentum before the collision?

A 2 kg object moving at 10 m/s collides with a 3 kg object at rest. What is the total momentum before the collision?

Step 1: Identify the mass and velocity of the first object. The mass is 2 kg and the velocity is 10 m/s.
Step 2: Calculate the momentum of the first object using the formula: momentum = mass × velocity. So, momentum = 2 kg × 10 m/s.
Step 3: Calculate the momentum of the first object: 2 kg × 10 m/s = 20 kg·m/s.
Step 4: Identify the mass and velocity of the second object. The mass is 3 kg and the velocity is 0 m/s (since it is at rest).
Step 5: Calculate the momentum of the second object using the same formula: momentum = mass × velocity. So, momentum = 3 kg × 0 m/s.
Step 6: Calculate the momentum of the second object: 3 kg × 0 m/s = 0 kg·m/s.
Step 7: Add the momentum of both objects to find the total momentum before the collision: total momentum = momentum of first object + momentum of second object.
Step 8: Total momentum = 20 kg·m/s + 0 kg·m/s = 20 kg·m/s.

Momentum – Momentum is the product of an object's mass and its velocity, and it is a vector quantity.
Conservation of Momentum – In a closed system, the total momentum before a collision is equal to the total momentum after the collision.