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 10m/s at an angle 40? above the horizontal.

For help with math skills, you may want to review:

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

2.For how much more time was the ball in flight?

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 10m/s at an angle 40? above the horizontal. For help with math skills, you may want to review: 1 How much farther did the ball travel on the moon than it would have on earth? 2.For how much more time was the ball in flight?

Explanation / Answer

6 times further, 6 times as long. The horizontal velocity never changes until the ball hits the ground (Newton's 1st law). The downward, vertical acceleration is 1/6 that of on Earth, so it takes 6 times longer for the ball to land. 6x longer in the "air" means 6x the horizontal distance.

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