Made Golf Club
Made Golf Club
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A stroboscopic photo of a club hitting a golf ball like that shown in Figure 6.3 of the text book was made by?
....was made by Harold Edgerton in 1933. The ball was initially at rest and the club was shown to be in contact with the club for about 0.0020 s. Also, the ball was found to end up with a speed of 2.0 x 102 ft/s. Assuming that the golf ball had a mass of 55 g, find the average force exerted by the club on the ball
Force (in Newtons) = Mass (in kilograms) X Acceleration (in meters/second^2)
Acceleration = dV (change in velocity) / dT (change in time)
dV = Vf (final velocity) - Vo (original velocity)
Assuming that "2.0 x 102 ft/s" is actually "2.0 x 10^2 ft/sec" (which is 200 ft/sec when we take it out of scientific notation) we can do the following:
Mass = 0.055 kg
Vf = 200 ft/sec (this needs to be converted into metric)
Vo = 0 (ball was at rest, which makes this term disappear in the acceleration equation)
dT = 0.0020 sec
First we convert the 200 ft/sec into meters/sec. The constant to convert feet to meters is 0.3048:
200 X 0.3048 = 60.96 meters/sec
Now we do the acceleration:
A = 60.96 / 0.0020
A = 30480 meters/sec^2
And we plug that all into the force equation:
F = 0.055 X 30480
F = 1676.4 Newtons
Again, all of this assumes that the "2.0 X 102 ft/s" was really supposed to be scientific notation and read "2.0 X 10^2 ft/s"