An astronaut weighs 600 N on Earth. What is the astronaut's mass on the Moon, where the accelera

step 1 So in this problem, we know that an astronaut with 600 newtons on the Earth, and we know that a

An astronaut weighs 600 N on Earth. What is the astronaut's...

An astronaut weighs 600 $\mathrm{N}$ on Earth. What is the astronaut's mass on the Moon,
where the acceleration of gravity is $\frac{1}{6}$ that of Earth?
(A) 0 $\mathrm{kg}$
(B) 10 $\mathrm{kg}$
(C) 60 $\mathrm{kg}$
(D) 100 $\mathrm{kg}$
(E) 600 $\mathrm{kg}$

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Key Concepts

Gravitational Acceleration

Gravitational acceleration refers to the rate at which an object accelerates towards a massive body due to gravity. It varies depending on the celestial body; for example, Earth's gravitational acceleration is higher than that of the Moon. This fundamental concept is used to convert between weight and mass, as weight is directly proportional to gravitational acceleration.

Weight

Weight is the force experienced by an object due to gravity. It is calculated by the product of the object's mass and the local gravitational acceleration. Weight is measured in newtons (N) and can vary depending on the gravitational field strength, even though the object’s mass remains constant.

Mass

Mass is a measure of the amount of matter in an object and is intrinsic to the object, meaning it does not change regardless of location or gravitational field strength. It is calculated by dividing an object's weight by the local gravitational acceleration. Mass is typically measured in kilograms (kg).

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