Golf Iron Ball Flight

7
Nov/09
0

Golf Iron Ball Flight

Please help! On the Apollo 14 mission to the moon,...?

On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The acceleration due to gravity on the moon is 1/6 of its value on earth. Suppose he hits the ball with a speed of 10 m/s at an angle 45 degree above the horizontal.

A. How much farther did the ball travel on the moon than it would have on earth?
B. For how much more time was the ball in flight?

First we must estimate that sin(45) is 7.17, but if I miscalculated this value, then simply change it to the right one and redo the following calculations:
A) On Moon:
Vy(t) = Voy - gt = 0
t = 4.39 s
2t = 8.78 s
X(8.78) = Vox(8.78) = 62.9 m
On Earth:
Same thing as above, but use 9.81 m/s^2 instead of 1.635 m/s^2 for little g.
X_earth = 10.46 m

Delta_X = 52.4 m

B) t2 - t1 = 4.39 - 0.73 = 3.66 seconds longer

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