Understanding the Concepts
* Momentum: Momentum is the measure of an object's mass in motion. It's calculated as mass (m) times velocity (v): p = mv.
* Conservation of Momentum: In a closed system, the total momentum before a collision equals the total momentum after the collision.
Solving the Problem
1. Identify the Initial Momentum:
* Bullet's initial momentum (p_bullet) = (0.01 kg) * (300 m/s) = 3 kg m/s
* Ice block's initial momentum (p_ice) = 0 (since it's at rest)
2. Identify the Final Momentum:
* Let the final velocity of the combined bullet and ice block be 'v'.
* Final momentum (p_final) = (0.01 kg + 5 kg) * v = 5.01v kg m/s
3. Apply Conservation of Momentum:
* Initial momentum = Final momentum
* 3 kg m/s + 0 = 5.01v kg m/s
4. Solve for the Final Velocity:
* v = (3 kg m/s) / (5.01 kg) = 0.599 m/s (approximately)
Therefore, the speed of the ice block and bullet after the collision is approximately 0.599 meters per second.
