Impulse and momentum

elimenohpee

1. Homework Statement

A golfer hits a golf ball of mass 0.045 kg the ball over some short trees. He hits the ball at
an angle of 60(degrees) to the horizontal and it travels a horizontal distance (Range) of 60.0 m in a time of 8.00 s. The golf club of mass 0.60 kg is in contact with the ball for a time of 2.40 ms.
(a) What is the average impulsive force on the golf ball?
(b) What is the average impulsive force on the golf club?
(c) What is the change in momentum of the golf club?

2. Homework Equations
All my answers are exactly have of what my teacher posted. My answer for (a) should be 280N, (b) should be -280N, and (c) should be -0.67 kg m/s

3. The Attempt at a Solution
Since the ball is hit at an angle, I split the momentum into x and y components. Initial velocity is zero, so both x1 and y1 are zero.
(a) The final momentum for x would be: mvcos(theta) = (0.045kg)(7.5m/s)(cos(60))= 0.169 kg m/s

The final momentum for y would be: mvsin(theta) = (0.045kg)(7.5m/s)(sin(60))= 0.29 kg m/s
Divide both values by the time the force was in contact (2.5 ms).
So to find the average impulsive force, take both values of momentum divided by time and find the magnitude: [(70.4)^2 + (121)^2]^0.5 = 140 N

(b) it would just be the opposite of the force on the golf ball, -140N
(c) change in momentum would just take the magnitude of the the momentum:
[(0.169)^2 + (0.29)^2]^0.5 = -0.33 kg m/s (negative because its the change in momentum of the golf club not the golf ball)
1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution

Related Introductory Physics Homework Help News on Phys.org

LowlyPion

Homework Helper
I might note that the 60m/8s is just the x component of velocity, not the initial x,y velocity of the ball.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving