A woman, driving a golf ball off a tee, gives the ball a velocity of 28.0 m/s. The mass of the ball is 0.045 kg, and the duration of the impact with the golf club is 6 x 10-3 s.
3a. What is the change in momentum of the ball
impulse = Force x (time of contact)
= Final momentum of golf ball
= 0.045 kg * 28.0 m/s. \
= change in momentum
You don't need the time of contact to do part a. You would need it to compute the average force.
456
To find the change in momentum of the ball, we can use the formula:
Change in momentum = mass x change in velocity
To calculate the change in velocity, we need to determine the final velocity of the ball. However, the problem statement only provides the initial velocity and the duration of the impact. Without additional information, we cannot calculate the final velocity and therefore cannot determine the change in momentum.
Please provide additional information if available, so we can proceed with the calculation.
To find the change in momentum of the ball, we need to use the formula:
Change in momentum (ΔP) = Final momentum - Initial momentum
Step 1: Calculate the initial momentum:
The initial momentum is given by the product of mass and initial velocity.
Initial momentum (P_initial) = mass × initial velocity
P_initial = 0.045 kg × 28.0 m/s
Step 2: Calculate the final momentum:
Since there is no external force acting on the ball after it is hit off the tee, its final momentum will be equal to its initial momentum.
Final momentum (P_final) = P_initial
Step 3: Calculate the change in momentum:
Substitute the values of P_initial and P_final into the formula for change in momentum:
ΔP = P_final - P_initial
Since P_final = P_initial:
ΔP = 0
Therefore, the change in momentum of the ball is 0.