Question

A 2.10 kg steel ball is transported to the moon. The radius of the moon is 1.74 x 10^6 m and the mass of the moon is 7.35 x 10^22 kg.

A) Calculate the acceleration due to gravity on the moon.

B) Determine the mass of the steel ball on the Earth and on the moon.

C) determine the weight of the steel ball on the Earth

D) Determine the weight of the steel ball on the moon.

Answer 1

Part A.

acceleration due to gravity on moon will be:

g_m = G*M/R^2

g_m = 6.67*10^-11*7.35*10^22/(1.74*10^6)^2

g_m = 1.62 m/sec^2

Part B.

Mass of any object is always same, So

Mass of ball on earth = 2.10 kg

Mass of ball on moon = 2.10 kg

Part C.

Weight of ball on earth will be:

W = m*g

g = gravitational acceleration on earth = 9.81 m/sec^2

W = 2.10*9.81 = 20.6 N

Part D.

Weight of ball on moon will be:

W_m = m*g_m

g_m = gravitational acceleration on earth = 1.62 m/sec^2

W = 2.10*1.62 = 3.40 N

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