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## Homework Statement

You are an astronaut-in-training for the first mission to Mars by humans. You are about to go into a Mars simulator and need to know the answers to the following questions to complete the simulation correctly. You already have memorized basic information about Mars such as its mass (6.42x1023 kg), its radius (3.37x10^6 m) and its rotation period (its “day”) which is 24.8 hours. You also know that Newton’s universal gravitational constant (“big G”) is 6.67x10^-11 Nm2/kg2.

What is the speed at which you will be able to walk on the surface of Mars?

## Homework Equations

F

_{net}=N-mg

_{M}=mv

^{2}/r

v

_{M}=(g

_{M}r)

^{(1/2)}

F=GM

_{M}m/r

_{M}

^{(1/2)}=mg

_{M}

g

_{M}=GM

_{M}/r

_{M}

^{1/2}

## The Attempt at a Solution

use r= radius of the Mars, I got v

_{M}=3.56 km /s

use r= radius of my leg=0.7 m, I got v

_{M}=1.6 m/s.

Which one is right?

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