Question

An object weighs 30 N on Earth. A second object weighs 30 N on the moon. Which has the greater mass? Question 15 options: The one on the moon The one on Earth Not enough information to say They have the same mass.

Answer 1

Earth gravity = 9.8 m/s²

Moon gravity = 1.6 m/s²

Weight = (mass) x (gravity)

Divide each side by (gravity) and then it says:

Mass = Weight / gravity

Object on Earth: Mass = (30N) / (9.8 m/s²) = 3.06 kg

Object on Moon: Mass = (30N) / (1.6 m/s²) = 18.52 kg

If two objects have the same weight on Earth and on the Moon, then the one on the Moon must have more mass. Six times as much mass, in fact.