weight and mass

Please see the attached file for detailed solution.

1. (a) Calculate the gravitational acceleration on the surface of Mars and
The gravitational acceleration is

Where gravitational constant G = 6.674 10-11 m3 • kg-1 • s-1
The mass of Mars M = 6.42 1023 kg
The radius of Mars R = 3.396 106 m
Substituting to above equation gives

(b) The weight of a 0.50 kg rock on its surface
W = mg = 0.50 * 3.71 = 1.86 N

2. A 10 kg monkey is 106 m above the earth's surface.
(a) What is its weight there?
First find the gravitational acceleration at this place.
The mass of Earth is M = 5.97 1024 kg
The radius of the Earth is R = 6.37 106 m
Then the monkey is r = 6.37 106 + 106 = 7.37 106 m to the center of the Earth.
The gravitational acceleration is

Then its weight is
W = ma = 10 * 7.34 = 73.4 N.

(b) What is its mass there?
The mass does not change with its position, so it is still 10 kg

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