How Much Force Does a Golf Club Apply to a Ball?

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The discussion centers on calculating the work done on a golf ball by a club and the average force applied during contact. The work done on the ball is determined to be 39.69 Joules, based on its mass and final speed. For the second part, participants emphasize using kinematic equations to find average acceleration and subsequently average force, while noting to ignore the weight of the ball. The relationship between acceleration, force, and distance is highlighted as crucial for solving the problem. Understanding these concepts is essential for accurately determining the average force exerted by the club on the ball.
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Homework Statement



When a 0.045 kg golf ball takes off after being hit, its speed is 42 m/s.
(a) How much work is done on the ball by the club?

---> 39.69 J
(b) Assume that the force of the golf club acts parallel to the motion of the ball and that the club is in contact with the ball for a distance of 0.030 m. Ignore the weight of the ball and determine the average force applied to the ball by the club.


Homework Equations



WNCF= \DeltaME<sub>TOTAL</sub>

The Attempt at a Solution



for part a I did this and got the correct answer in Joules: 0.5(0.045kg)(422

I am confused at what to do in the next part. I did the same attempt but confused when I am told to ignore the weight of the ball...
 
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2. Homework Equations

Wncf= \DeltaMEtotal
 
PhysicFailure said:

Homework Statement



When a 0.045 kg golf ball takes off after being hit, its speed is 42 m/s.
(a) How much work is done on the ball by the club?

---> 39.69 J
(b) Assume that the force of the golf club acts parallel to the motion of the ball and that the club is in contact with the ball for a distance of 0.030 m. Ignore the weight of the ball and determine the average force applied to the ball by the club.


Homework Equations



WNCF= \DeltaME<sub>TOTAL</sub>

The Attempt at a Solution



for part a I did this and got the correct answer in Joules: 0.5(0.045kg)(422

I am confused at what to do in the next part. I did the same attempt but confused when I am told to ignore the weight of the ball...

Okay: the kinetic energy of the ball changed from 0 to (1/2) mv2. That energy had to come from somewhere- the work done on it.

Now do you know that when on object accelerates from 0 with constant (or average) acceleration a to t seconds it reachs speed a*t and goes a distance (1/2)at2. You know that the ball accelerated to 42 m/s while going 0.30m. That gives two equations in a and t. Once know a, the average acceleration, F= ma gives the average force.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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