Question

29) Explain why the weight of an object on the moon is one-sixth of its weight on the
earth. Express using Universal Law of Gravitation. Consider Mass of Earth = 5.98 x
Kg, Mass of moon = 7.36 x 10Kg, Radius of earth = 6400 Km, Radius of
1024
moon - 1740 Km

Answer 1

Answer:

Refer the attachment for the answer

Answer 2

Answer:

The mass of moon is 1/100 times and its radius 1/4 times that of earth. As a result, the gravitational attraction on the moon is about one sixth when compared to earth. Hence, the weight of an object on the moon is 1/6th its weight on the earth.

Let the mass of an object be m. Let its weight on the moon be Wm. Let the mass of the moon be Mm and its radius be Rm. By applying the universal law of gravitation, the weight of the object on the moon will be

Let the weight of the same object on the earth be We. The mass of earth is M and its radius is R.

Substituting the values in equations (1) and (2) we get

Dividing equation (3) by (4)

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