A 0.050 kg golf ball leaves the tee at a speed of 75.0 m/s. The club is in contact with the ball for 0.020 s. What is the net force of the club on the ball?

To find the net force exerted by the club on the golf ball, we can use Newton's Second Law of Motion, which states:

\[
F = \frac{\Delta p}{\Delta t}
\]

where:
- \( F \) is the net force,
- \( \Delta p \) is the change in momentum,
- \( \Delta t \) is the time during which the force is applied.

First, we calculate the change in momentum (\( \Delta p \)):

\[
\Delta p = m \cdot \Delta v
\]

where:
- \( m \) is the mass of the ball,
- \( \Delta v \) is the change in velocity.

Since the ball starts from rest, the initial velocity \( v_i = 0 \), and the final velocity \( v_f = 75.0 \, \text{m/s} \):

\[
\Delta v = v_f - v_i = 75.0 \, \text{m/s} - 0 \, \text{m/s} = 75.0 \, \text{m/s}
\]

Now, calculate the change in momentum:

\[
\Delta p = 0.050 \, \text{kg} \times 75.0 \, \text{m/s} = 3.75 \, \text{kg} \cdot \text{m/s}
\]

Next, apply the formula for force:

\[
F = \frac{3.75 \, \text{kg} \cdot \text{m/s}}{0.020 \, \text{s}} = 187.5 \, \text{N}
\]

So, the net force exerted by the club on the ball is **187.5 N**.

Would you like a detailed explanation, or do you have any questions about this calculation?

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Here are 8 related questions to further explore the concept:

1. How would the force change if the time of contact was 0.010 s instead of 0.020 s?
2. What is the momentum of the golf ball immediately after it leaves the tee?
3. How does increasing the mass of the golf ball affect the net force, assuming the same velocity?
4. What is the acceleration of the ball during the contact with the club?
5. How would the net force change if the ball had an initial speed before being struck by the club?
6. What role does impulse play in this scenario?
7. How would the force change if the ball's final speed was 100.0 m/s?
8. How does the concept of conservation of momentum apply in this context?

**Tip:** Remember, force is not just about how much you push or pull, but also how long you apply that force!

Understand how to calculate the net force exerted by a golf club on a ball with a step-by-step solution. Learn about Newton's Second Law of Motion and how impulse affects force. Suitable for high school physics students.

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