Homework Help: physics

Posted by Akbar on Saturday, June 2, 2012 at 6:50pm.

You are on Mars and would like to send a probe into space so that it does not fall back to the surface. What minimum launch speed do you need? (The mass of Mars is 6.42x10^23 kg and the radius of Mars is 3.40x10^6 m)
km/s

Please someone also help me on this.I really don't know how to do this.Thank you.

physics - bobpursley, Saturday, June 2, 2012 at 10:02pm
PE at surface= GMm/r

PE mars= GMmars*m/rm
PE earth= GMe*m/re

so on mars, you have to overcome the PE at the surface, or

1/2 m v^2=GMmars*m/rmars

velocity= sqrt(2G*MassMars/radiusMars)

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