If you go to the moon, does your mass or weight change?Aboth changeBonly weightConly massDnothing changes
Question
If you go to the moon, does your mass or weight change?
- A both change
- B only weight
- C only mass
- D nothing changes
Solution
Break Down the Problem
- Understand the Concepts: Distinguish between mass and weight.
- Identify Changes on the Moon: Assess how a change in location affects mass and weight.
Relevant Concepts
- Mass: The amount of matter in an object, measured in kilograms (kg), which is constant regardless of location.
- Weight: The force exerted by gravity on an object, calculated by the formula , where:
- is weight,
- is mass,
- is the acceleration due to gravity.
Analysis and Detail
- On Earth, the acceleration due to gravity is approximately .
- On the Moon, the acceleration due to gravity is about .
- When you travel to the Moon, your mass remains the same, but your weight decreases due to the lower gravitational pull.
Verify and Summarize
- Since mass is a scalar quantity and does not change with location, it remains the same on the Moon.
- Weight, on the other hand, does change because the gravitational force is different compared to Earth.
Final Answer
B) only weight changes when you go to the Moon; your mass remains the same.
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