A golf ball has a mass of 0.05 kg. It is initially at rest, but after being struck by a golf club it is given a speed of 30 m/s. The club and the ball are in contact for 2 ms (.002 seconds). a) What is the average force acting on the ball? b) What is the impulse of the net force on the golf ball during its contact with the golf club?
To find the average force acting on the ball, we can use the formula:
Average force = Change in momentum / Time
a) To calculate the change in momentum, we need to find the initial and final momenta of the ball. We can use the equation:
Momentum = Mass × Velocity
The initial momentum of the ball is zero since it is at rest, so:
Initial momentum = Mass × Initial velocity = 0.05 kg × 0 m/s = 0 kg·m/s
The final momentum of the ball can be calculated using its mass and final velocity:
Final momentum = Mass × Final velocity = 0.05 kg × 30 m/s = 1.5 kg·m/s
Now, let's calculate the average force:
Average force = (Final momentum - Initial momentum) / Time
= (1.5 kg·m/s - 0 kg·m/s) / 0.002 s
= 750 N
Therefore, the average force acting on the ball is 750 Newtons.
b) The impulse experienced by an object is equal to the change in momentum. So the impulse is the same as the change in momentum of the ball during its contact with the golf club.
Impulse = Final momentum - Initial momentum
= 1.5 kg·m/s - 0 kg·m/s
= 1.5 kg·m/s
Hence, the impulse of the net force on the golf ball during its contact with the golf club is 1.5 kg·m/s.