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Chapter 4: Problem 7

The surface gravity on Jupiter's moon Io is one-fifth that on Earth. What would happen to your weight and to your mass if you were on Io?

Short Answer

Expert verified
If you were on Io, your weight would be one-fifth of what it is on Earth due to Io's surface gravity being one-fifth that on Earth. However, your mass would remain the same, as it is not dependent on gravity.

Step by step solution

01

- Understand the difference between weight and mass

Firstly, it's crucial to remember that mass is the amount of matter in an object and stays consistent regardless of the location, while weight is the force exerted by gravity on that object and can therefore vary depending on the local gravitational force.
02

- Evaluate the change in weight

Given the fact that the surface gravity on Io is one-fifth that on Earth, the weight of an object or person would therefore be one-fifth its Earth weight on Io. Weight on Io = \(\frac{1}{5}\) * Weight on Earth.
03

- Determine the change in mass

Mass does not change with location - so the mass on Earth would be the same on Io. The mass remains unaffected by the gravity of the location.

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