Question

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 0.771 milliseconds, and the radar gun clocks the speed of the ball as 191 mph after it comes off the club. The golf ball has a mass of 45.9 grams. What is the magnitude of the impulse imparted to the ball by the club Number kg m What is the magnitude of the average force of contact between the club and the bal? Number

Answer 1

To find the magnitude of the impulse imparted to the ball by the club, we can use the equation Impulse = Change in momentum. To find the magnitude of the average force of contact between the club and the ball, we can use the formula Average force = Impulse / Time of contact.

Step-by-step explanation:

To find the magnitude of the impulse imparted to the ball by the club, we can use the equation:

Impulse = Change in momentum

The initial momentum of the ball is zero because it was at rest. The final momentum of the ball can be calculated using its mass and velocity:

Final momentum = mass × velocity

We can then find the change in momentum by subtracting the initial momentum from the final momentum. This will give us the magnitude of the impulse imparted to the ball by the club:

Impulse = Final momentum - Initial momentum

To find the magnitude of the average force of contact between the club and the ball, we can use the formula:

Average force = Impulse / Time of contact

Using the given information, we can substitute the values into the equations to find the answers.

Impulse = (Mass × Final velocity) - (Mass × Initial velocity)

Average force = Impulse / Time of contact