On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball wit

Question

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 27 m/s at an angle 10 above the horizontal.

Part A

How much farther did the ball travel on the moon than it would have on earth?

Express your answer to two significant figures and include the appropriate units.

L=

Part B

For how much more time was the ball in flight?

Express your answer to two significant figures and include the appropriate units.

t=

Explanation / Answer

Part A:
Learth = (u2sin 2(theta))/g = 25.44m
Lmoon = 6*(u2sin 2(theta))/g = 152.65m
L = Lmoon - Learth = 127.21 m
Part B:
tearth = (2u sin(theta))/g = 0.96 sec
tmoon = 6*(2u sin(theta))/g = 5.74 sec
t = tmoon - tearth = 4.78 sec

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