Recall that weight is a force and is equal to m*g, where g is the acceleration due to gravity exerted by the Earth near the Earth's surface. The acceleration due to gravity exerted by the moon near the moon's surface is 16.6% that of Earth. What is the weight (in N) of a person with a mass of 77.1 kg on the moon?

145.43 N

Explanation:

Weight is given by (mg)

where m = mass of the body

g = acceleration due to gravity

mass is constant everywhere and is equal to 77.1 kg, both on the earth and on the moon.

But the acceleration due to gravity exerted by the moon near the moon's surface is 16.6% that of Earth,

g(moon) = 0.166 g(earth) = 0.166 × 9.8 = 1.6268 m/s²

Weight on the moon = mg(moon) = (77.1×1.6268) = 125.43 N

conservation of mass

mass before something happens = mass afterwards