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 16 m/s at an angle 35degree above the horizontal. For help with math skills, you may want to review: 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= Values Units For how much more time was the ball in flight? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A) range on same level projectile is given as

R = v^2 sin(2@) / g

on earth : g = 9.81 m/s^2

Re = 16^2 sin(2*35) / 9.81 = 24.52 m

on moon :

g' = 9.81/6 = 1.635 m/s^2

Rm = 16^2 sin(2*35) / 1.635

Rm = 147.13

further distance on moon than earth = Rm - Re = 122.61 m

b) time of flight is givem as

T = 2usin@ / g

for earth:

Te = (2 x 16 x sin35) / 9.81 = 1.87 s

for moon:

Tm = (2 x 16 x sin35) / 1.635 = 11.23 s

Extra time = Tm - Te = 9.36 s

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