A professional golfer is examining a video of a practice swing. The high-speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only At = 0.971 ms, and the radar gun clocks the speed of the ball as ep = 146 mph after it comes off the club. The golf ball has a mass of m = 45.9 g. What is the magnitude of the impulse imparted to the ball by the club? magnitude of the impulse: kg ·m What is the magnitude of the average force of contact between the club and the ball? magnitude of the average force of contact: N

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A professional golfer is examining a video of a practice swing. The high-speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only \(\Delta t = 0.971 \, \text{ms}\), and the radar gun clocks the speed of the ball as \(v_b = 146 \, \text{mph}\) after it comes off the club. The golf ball has a mass of \(m_b = 45.9 \, \text{g}\).

What is the magnitude of the impulse imparted to the ball by the club?

**Magnitude of the impulse:** [Input Box] \( \text{kg} \cdot \text{m/s} \)

What is the magnitude of the average force of contact between the club and the ball?

**Magnitude of the average force of contact:** [Input Box] \(\text{N}\)

---

**Explanation for Educational Website:**

This problem revolves around the physics concepts of impulse and average force. By analyzing a golfer's swing, we can calculate these important quantities.

1. **Impulse:** 
   - Impulse is the change in momentum of an object when a force is applied over a specific time interval.
   - It is calculated using the formula:
     \[
     \text{Impulse} = \Delta p = m \cdot \Delta v
     \]
   - Here, the mass \( m \) of the golf ball and its change in velocity \( \Delta v \) are needed.

2. **Average Force:**
   - Average force can be calculated by dividing the impulse by the time duration \( \Delta t \) during which the force is applied:
     \[
     \text{Average Force} = \frac{\text{Impulse}}{\Delta t}
     \]
   - Use the previously calculated impulse and the given time of contact to find this value.

By inputting the right values into these equations, one can determine the magnitude of the impulse and average force during the golfer's swing.
Transcribed Image Text:A professional golfer is examining a video of a practice swing. The high-speed footage shows that his club is in contact with the ball (which was initially at rest on the tee) for only \(\Delta t = 0.971 \, \text{ms}\), and the radar gun clocks the speed of the ball as \(v_b = 146 \, \text{mph}\) after it comes off the club. The golf ball has a mass of \(m_b = 45.9 \, \text{g}\). What is the magnitude of the impulse imparted to the ball by the club? **Magnitude of the impulse:** [Input Box] \( \text{kg} \cdot \text{m/s} \) What is the magnitude of the average force of contact between the club and the ball? **Magnitude of the average force of contact:** [Input Box] \(\text{N}\) --- **Explanation for Educational Website:** This problem revolves around the physics concepts of impulse and average force. By analyzing a golfer's swing, we can calculate these important quantities. 1. **Impulse:** - Impulse is the change in momentum of an object when a force is applied over a specific time interval. - It is calculated using the formula: \[ \text{Impulse} = \Delta p = m \cdot \Delta v \] - Here, the mass \( m \) of the golf ball and its change in velocity \( \Delta v \) are needed. 2. **Average Force:** - Average force can be calculated by dividing the impulse by the time duration \( \Delta t \) during which the force is applied: \[ \text{Average Force} = \frac{\text{Impulse}}{\Delta t} \] - Use the previously calculated impulse and the given time of contact to find this value. By inputting the right values into these equations, one can determine the magnitude of the impulse and average force during the golfer's swing.
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