* Momentum: Momentum is a measure of an object's mass in motion. It's calculated by multiplying an object's mass (m) by its velocity (v): Momentum (p) = m * v
* Conservation of Momentum: In a closed system (one where no external forces act), the total momentum before a collision is equal to the total momentum after the collision. This means that momentum is transferred between objects during a collision, but the overall momentum of the system remains constant.
Let's break down the scenario:
1. Initial Momentum:
* 10kg cart (m1): Momentum = 10 kg * 5 m/s = 50 kg m/s
* 5kg cart (m2): Momentum = 5 kg * 0 m/s = 0 kg m/s
* Total initial momentum = 50 kg m/s + 0 kg m/s = 50 kg m/s
2. Final Momentum:
* 10kg cart (m1): We don't know its final velocity, so let's call it v1.
* 5kg cart (m2): Momentum = 5 kg * 10 m/s = 50 kg m/s
* Total final momentum = 10 kg * v1 + 50 kg m/s
3. Conservation of Momentum:
* Total initial momentum = Total final momentum
* 50 kg m/s = 10 kg * v1 + 50 kg m/s
* 0 = 10 kg * v1
* v1 = 0 m/s
Conclusion:
The 10 kg cart comes to a complete stop (v1 = 0 m/s) after the collision. This is because the momentum transferred from the 10 kg cart to the 5 kg cart is exactly enough to bring the 10 kg cart to a standstill while accelerating the 5 kg cart to 10 m/s.
