Understanding the Concepts
* Momentum: Momentum (p) is the mass of an object multiplied by its velocity (p = mv). In a closed system, total momentum is always conserved.
* Inelastic Collision: In an inelastic collision, some kinetic energy is lost, typically as heat, sound, or deformation of the objects.
Solving the Problem
1. Initial Momentum:
* The metal ball's initial momentum is (2 kg) * (3 m/s) = 6 kg*m/s.
* The wooden block's initial momentum is (1 kg) * (0 m/s) = 0 kg*m/s (since it's stationary).
2. Final Momentum:
* Let the final velocity of the combined mass be 'v'.
* Total final momentum is (2 kg + 1 kg) * v = 3v kg*m/s
3. Conservation of Momentum:
* Total initial momentum equals total final momentum: 6 kg*m/s = 3v kg*m/s
4. Solving for 'v':
* Divide both sides by 3 kg*m/s: v = 2 m/s
Answer:
The combined mass of the metal ball and wooden block will be moving at a speed of 2 m/s after the collision.
