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If you go to the moon, does your mass or weight change?Aboth changeBonly weightConly massDnothing changes

Question

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Solution

Break Down the Problem

  1. Understand the Concepts: Distinguish between mass and weight.
  2. Identify Changes on the Moon: Assess how a change in location affects mass and weight.

Relevant Concepts

  1. Mass: The amount of matter in an object, measured in kilograms (kg), which is constant regardless of location.
  2. Weight: The force exerted by gravity on an object, calculated by the formula W=mg W = m \cdot g , where:
    • W W is weight,
    • m m is mass,
    • g g is the acceleration due to gravity.

Analysis and Detail

  1. On Earth, the acceleration due to gravity is approximately 9.81m/s2 9.81 \, \text{m/s}^2 .
  2. On the Moon, the acceleration due to gravity is about 1.62m/s2 1.62 \, \text{m/s}^2 .
  3. 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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