The asteroid 243 Ida has a mass of about 4.0×1016 and an average radius of about

Question

The asteroid 243 Ida has a mass of about 4.0×1016 and an average radius of about 16 (it’s not spherical, but you can assume it is).Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface.
Express your answer to two significant figures and include the appropriate units.How long would it take for your rock to return and hit you in the back of the head?
Express your answer to two significant figures and include the appropriate units.
kg

Explanation / Answer

GMm/ R^2 = mv^2/ R ;

GM/ R = v^2

v= ( GM / R )

v = ( 6.67 e-11 * 4 e 16 / 16e3 )

v = 12.913 m /s <-------ans

T = 2 * 16e3 / [ 12.913 ] = 7.78 e 3 s <------ans

T = 129 min ; <-------ans

T = 2.16 hrs <---------ans

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