Velocity After Check 8B6051
1. **State the problem:**
Hockey Player A has a mass of 60 kg and an initial velocity of +5 m/s. Player B applies a force of -500 N for 0.8 seconds. We need to find Player A's velocity after the force is applied.
2. **Relevant formula:**
Impulse-momentum theorem states that impulse equals change in momentum:
$$ F \Delta t = m \Delta v $$
where $F$ is force, $\Delta t$ is time interval, $m$ is mass, and $\Delta v$ is change in velocity.
3. **Calculate impulse:**
$$ \text{Impulse} = F \times \Delta t = -500 \times 0.8 = -400 \text{ Ns} $$
4. **Calculate change in velocity:**
$$ \Delta v = \frac{\text{Impulse}}{m} = \frac{-400}{60} = -6.67 \text{ m/s} $$
5. **Calculate final velocity:**
$$ v_{final} = v_{initial} + \Delta v = 5 + (-6.67) = -1.67 \text{ m/s} $$
6. **Interpretation:**
The negative sign means Player A is now moving in the opposite direction at 1.67 m/s after the body check.
**Final answer:**
$$ v_{final} = -1.67 \text{ m/s} $$