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The maximum speed you can walk on the Mars

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  1. Oct 28, 2011 #1
    1. The problem statement, all variables and given/known data

    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?

    2. Relevant equations
    Fnet=N-mgM=mv2/r
    vM=(gM r)(1/2)

    F=GMMm/rM(1/2)=mgM
    gM=GMM/rM1/2


    3. The attempt at a solution
    use r= radius of the Mars, I got vM=3.56 km /s
    use r= radius of my leg=0.7 m, I got vM=1.6 m/s.

    Which one is right?
     
    Last edited: Oct 29, 2011
  2. jcsd
  3. Oct 28, 2011 #2

    Andrew Mason

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    Your problem refers to "the following questions" but there are none. What are questions?

    AM
     
  4. Oct 29, 2011 #3
    r is for the radius of Mars, your first equation uses it as the radius of the arc of the circle you move over.
     
  5. Oct 29, 2011 #4

    Andrew Mason

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    What limits the speed that you can walk on the surface?

    Also the denominator is r^2 not r^1/2 in:

    F=GMMm/rM2=mgM
    gM=GMM/rM2

    AM
     
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