Deimos, a moon of Mars, is about 12 km in diameter with mass 1.5×1015 kg. Suppos

Question

Deimos, a moon of Mars, is about 12 km in diameter with mass 1.5×1015 kg. Suppose you are stranded alone on Deimos and want to play a one-person game of baseball. You would be the pitcher, and you would be the batter!

Part A

With what speed would you have to throw a baseball so that it would go into a circular orbit just above the surface and return to you so you could hit it?

Express your answer with the appropriate units.

Part C

How long (in hours) after throwing the ball should you be ready to hit it?

I am stuck on how to solve this problem. Thanks!

Explanation / Answer

a) v = sqrt*(GM/r)

v = sqrt(6.67*10^-11*1.5*10^15 / 6000)

v = 4.083 m/s

b) T = 2pi*r/v

T = 2*3.14*6000/ 4.083

T = 9233.19 s = 2.564 hours

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