Understanding Momentum
* Momentum (p) is a measure of an object's mass in motion. It's calculated by:
* p = m * v
* where:
* m = mass (in kg)
* v = velocity (in m/s)
Calculating the Change in Momentum
1. Initial Momentum:
* p₁ = m * v₁
* p₁ = 8 kg * 2 m/s = 16 kg*m/s
2. Final Momentum:
* p₂ = m * v₂
* Since the ball bounces back at the same speed, but in the opposite direction, its final velocity is -2 m/s.
* p₂ = 8 kg * -2 m/s = -16 kg*m/s
3. Change in Momentum:
* Δp = p₂ - p₁
* Δp = -16 kg*m/s - 16 kg*m/s = -32 kg*m/s
Answer: The change in momentum of the bowling ball is -32 kg*m/s. The negative sign indicates that the momentum changed direction.