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Question

# Suppose you leave the solar system and arrive at a planet that has the same mass-to-volume ratio as Earth but has 10 times Earth's radius. What would you weigh on this planet compared with what you weigh on Earth?

Solution

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Given details are:

\begin{aligned} \text{Radius of Earth}&=R_{E}\\ \text{Radius of the planet (R)}&=10\cdot R_{E} \end{aligned}

We have to calculate our weight on this planet compared with what we weigh on Earth. Newton's law of gravitational force can be used here for calculation.

\begin{aligned} F&=\dfrac{G\cdot M\cdot m}{R^2} \end{aligned}

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