What is the force exerted by a golf club on a ball in a typical swing?

[eagles12]

Homework Statement

In a typical golf swing, the club is in contact with the ball for about .001s. If the 45g ball acquires a speed of 53 m/s, estimate the magnitude of the force exerted by the club on the ball.

Homework Equations

do i use a collision formula for this?

The Attempt at a Solution

pi=pf
p1i+p2i=p1f+p2f
vf=m1v1i/m1+m2

 

[genericusrnme]

Okay, let's step back a minute to our basic equation of motion;
F=ma
You want to solve for a force, so this would be the natural equation to use.
Now, you know enough to solve for F, you know the mass and you can work out the acceleration from what you have!

Using conservation of momentum is a handy thing to use but not in this kind of problem.

 

[eagles12]

so acceleration is rate of change of velocity over time so would i divide 53 by .001?

 

[genericusrnme]

That is correct!

 

[asteriatic]

vf=45g*53m/s/45g+45g
vf=53m/s

To calculate the force exerted by the golf club on the ball, we can use the equation F=ma, where F is force, m is mass, and a is acceleration. In this case, the mass of the ball is 45g (0.045kg) and its final velocity is 53 m/s. Plugging these values into the equation, we get F= 0.045kg * 53 m/s^2 = 2.385 N. This is the estimated magnitude of the force exerted by the club on the ball. Keep in mind that this is only an estimate and may vary depending on factors such as the angle of impact and the type of club used.