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ExtremeBDS [4]
3 years ago
5

What will an object weigh on the Moon's surface if it weighs 100 N on Earth's surface? (b) How many Earth radii must this same o

bject be from the center of Earth if it is to weigh the same as it does on the Moon?
Physics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

Part a)

W = 16.7 N

Part b)

r = 2.45 R

Explanation:

Part a)

As we know that acceleration due to gravity on the surface of moon is 1/6 times the gravity on the surface of earth

So the force due to gravity will decrease by the factor of 6

so we will have

W_{moon} = \frac{1}{6}W_{earth}

W_{moon} = \frac{1}{6}(100)

W_{moon} = 16.7 N

Part b)

For the same value of the weight as the surface of moon the acceleration due to gravity of earth must be 1/6 times

so we have

\frac{GM}{r^2} = \frac{GM}{6R^2}

r^2 = 6R^2

r = 2.45 R

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