In a closed system, an object with a mass of 10 kg moves at a velocity of 5.4m / s . It collides with a second object that has a mass of 12 kg and that is moving in the opposite direction with a velocity of 3.5m / s . What is the total momentum of the system after the collision ? 42kg - m / s; 12kg - m / s O54 54kg - m / s; 66kg - m / s

1 answer

To calculate the total momentum of the system after the collision, we need to first calculate the individual momenta of each object before the collision.

The momentum of an object is calculated by multiplying its mass by its velocity.

For the first object:
Momentum = mass x velocity
Momentum = 10 kg x 5.4 m/s
Momentum = 54 kg·m/s

For the second object:
Momentum = mass x velocity
Momentum = 12 kg x (-3.5 m/s) [since it is moving in the opposite direction]
Momentum = -42 kg·m/s

Now, to find the total momentum of the system after the collision, we add the individual momenta together:
Total momentum = 54 kg·m/s + (-42 kg·m/s)
Total momentum = 12 kg·m/s

Therefore, the total momentum of the system after the collision is 12 kg·m/s.