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PhysicsPhil
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[SOLVED] Calculate Average Force by finding Impulse over Impact Time
A movie depicting a 55-g golf ball hit with a club shows that the impulse time between the club and the ball is 0.2 ms, and the initial speed of the ball is 136 mph.
a) What is the average force exerted by the club on the ball during impact?
b) Estimate the distance over which the club and the ball are in contact during the swing.
First converted everything to SI units...
Mass of ball: 0.055kg
Impact time: 2x10^-4 seconds
Initial velocity of golf ball: 60.797 m/s
(a)
Fave = change in momentum (impulse) / impact time.
= Pfinal - Pinitial / impact time = mVf - mVi / impact time = m(Vf - Vi)/impact time
= [tex] (0.055kg)(0m/s - 60.797m/s) / 2x10^-4 s = -16719.175 N [/tex]
I have a feeling this is wrong because the Force should not be negative. Where I am getting tripped up in is what the final velocity of the ball should be ... I just assumed it was 0 m/s (when the ball would eventually come to rest) but I have a few doubts about whether this is what I am to do.
(b) Fave = M * Impact speed / 2 * change in collision distance / impact speed =
M * Impact speed^2 / 2*change in collision distance
[tex](0.055kg)(60.797m/s)^2/ 2deltah = -16719.175N[/tex]
delta h = -0.0060797m ...
Homework Statement
A movie depicting a 55-g golf ball hit with a club shows that the impulse time between the club and the ball is 0.2 ms, and the initial speed of the ball is 136 mph.
a) What is the average force exerted by the club on the ball during impact?
b) Estimate the distance over which the club and the ball are in contact during the swing.
Homework Equations
The Attempt at a Solution
First converted everything to SI units...
Mass of ball: 0.055kg
Impact time: 2x10^-4 seconds
Initial velocity of golf ball: 60.797 m/s
(a)
Fave = change in momentum (impulse) / impact time.
= Pfinal - Pinitial / impact time = mVf - mVi / impact time = m(Vf - Vi)/impact time
= [tex] (0.055kg)(0m/s - 60.797m/s) / 2x10^-4 s = -16719.175 N [/tex]
I have a feeling this is wrong because the Force should not be negative. Where I am getting tripped up in is what the final velocity of the ball should be ... I just assumed it was 0 m/s (when the ball would eventually come to rest) but I have a few doubts about whether this is what I am to do.
(b) Fave = M * Impact speed / 2 * change in collision distance / impact speed =
M * Impact speed^2 / 2*change in collision distance
[tex](0.055kg)(60.797m/s)^2/ 2deltah = -16719.175N[/tex]
delta h = -0.0060797m ...
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