Force Body Check 993Bf8
1. **State the problem:**
Hockey Player A has a weight of 784 N and is moving at +5 m/s. Hockey Player B applies a force over 0.5 s to stop Player A completely. We need to find the average magnitude of this force.
2. **Identify known values:**
- Weight of Player A, $W = 784$ N
- Initial velocity, $v_i = +5$ m/s
- Final velocity, $v_f = 0$ m/s (complete stop)
- Time interval, $\Delta t = 0.5$ s
3. **Find mass of Player A:**
Weight is related to mass by $W = mg$, where $g = 9.8$ m/s$^2$ (acceleration due to gravity).
$$m = \frac{W}{g} = \frac{784}{9.8} = 80\text{ kg}$$
4. **Calculate acceleration:**
Using the formula for acceleration:
$$a = \frac{v_f - v_i}{\Delta t} = \frac{0 - 5}{0.5} = -10\text{ m/s}^2$$
The negative sign indicates deceleration.
5. **Calculate force using Newton's second law:**
$$F = ma = 80 \times (-10) = -800\text{ N}$$
6. **Interpret the result:**
The magnitude of the force is the absolute value:
$$|F| = 800\text{ N}$$
**Final answer:** The average magnitude of the force applied by Hockey Player B is 800 N.