# weight and mass

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

(b) the weight of a 0.50 kg rock on its surface.

2. A 10 kg monkey is 10^6 m above the earth's surface.

(a) What is its weight there?

(b) What is its mass there?

https://brainmass.com/physics/solar-system/gravitation-mars-earth-weight-mass-201400

## SOLUTION This solution is **FREE** courtesy of BrainMass!

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 â€¢ kg-1 â€¢ 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

https://brainmass.com/physics/solar-system/gravitation-mars-earth-weight-mass-201400