Calculate the weight of a 50.0 kg mass on the moon using Newton's Law of Universal Gravitation. (The mass of the moon is approximately 7.36 x 10^22 kg, the radius is 1.738 x 10^6 m)

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The force of attraction between two bodies of mass M1 and M2 separated by a distance r is given by the Newton's law of universal gravitation as G*M1*M2/r^2

Here the mass of the object is 50 kg. The mass of the Moon is 7.36*10^22 kg. The radius of the Moon which is the distance that separates them is 1.738 x 10^6 m.

The weight of the object on the Moon is the force of gravitational attraction between the object and the Moon. That gives W = G*50*7.36*10^22/(1.738 x 10^6)^2, where G is 6.674*10^-11 M/m^2*kg^2

W = 6.674*10^-11*50*7.36*10^22/(1.738 x 10^6)^2 N

=> 81.308 N

The weight of the object on the Moon is 81.308 N