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 object be from the center of earth if it is to weigh the same as it does on the moon?

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

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