Question

The moon's gravity is one-sixth of Earth's gravity. If you weigh 100 Newtons on Earth, how much do you weigh on the moon?

Answer 1

Answer:

16.63N

Explanation:

If the moons gravity is 1/6th earths gravity and earth’s gravity is 9.8m/s

Then the moons gravity = 9.8/6 = 1.63m/s

Your weight on Earth = Mass* gravity

100N = Mass*9.8

Mass = 100/9.8 = 10.204.

Since your mass doesn't change no matter your location. But your weight does due to the pull of gravity.

On the moon your weight becomes

W = 10.204 * 1.63 = 16.63

Answer 2

Therefore the person is going to weigh 16.7N on moon.

Let g represent the acceleration due to gravity on earth.

Hence the acceleration due to gravity on moon = (1/6)g

Let m represent the mass. Since the weight on earth is 100N, hence:

100 = mg

The weight on moon = m * (1/6)g = (1/6)mg = 1/6 * 100 = 16.7N

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