An astronaut travels to the Moon, where the magnitude of the force of gravity is one-sixth the magnitude of the force of gravity on Earth. On the Moon, which of the following is true?
The astronaut's weight is one-sixth of his weight on Earth.
Weight is the force exerted on an object due to gravity, which varies depending on the gravitational field strength. Since the Moon's gravity is one-sixth that of Earth's, an astronaut's weight on the Moon will also be one-sixth of their weight on Earth, even though their mass remains unchanged.
Mass is a measure of the amount of matter in an object and does not change regardless of location. An astronaut's mass remains constant whether they are on Earth or the Moon, so this statement is incorrect.
This statement is accurate because weight is directly proportional to the gravitational force acting on an object. Since the Moon's gravity is one-sixth that of Earth's, the astronaut's weight will be one-sixth of what it is on Earth, confirming this choice as correct.
This choice is incorrect because mass does not change with location. The astronaut's mass on the Moon is the same as it is on Earth; therefore, it cannot be six times greater on the Moon.
This statement is also incorrect because, as established, the astronaut's weight on the Moon is actually one-sixth, not six times, of their weight on Earth due to the difference in gravitational force.
Understanding the distinction between mass and weight is crucial in physics. While mass remains constant regardless of location, weight is dependent on gravitational force. Therefore, an astronaut's weight on the Moon is one-sixth of their weight on Earth, aligning with the principles of gravity in different environments.
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