Understanding Impulse
Impulse is the change in momentum of an object. It's represented by the following equation:
* Impulse (J) = Change in Momentum (Δp)
Calculating Momentum
Momentum (p) is calculated as:
* Momentum (p) = mass (m) * velocity (v)
Solving the Problem
1. Initial Momentum:
* Mass (m) = 7.2 kg
* Initial Velocity (v₁) = 1.2 m/s
* Initial Momentum (p₁) = 7.2 kg * 1.2 m/s = 8.64 kg*m/s
2. Final Momentum:
* The ball stops, so its final velocity (v₂) = 0 m/s
* Final Momentum (p₂) = 7.2 kg * 0 m/s = 0 kg*m/s
3. Change in Momentum:
* Δp = p₂ - p₁ = 0 kg*m/s - 8.64 kg*m/s = -8.64 kg*m/s
4. Impulse:
* Impulse (J) = Δp = -8.64 kg*m/s
Magnitude of Impulse:
The magnitude of impulse is the absolute value of the impulse, which is:
* |J| = 8.64 kg*m/s
Therefore, the magnitude of the impulse on the ball is 8.64 kg*m/s.