Circular Motion and Gravitation of asteroid

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SUMMARY

The discussion focuses on calculating the orbital speed and return time for a rock thrown around the asteroid 243 Ida, which has a mass of approximately 4.0×1016 kg and an average radius of 16 km. The relevant formulas include centripetal acceleration (Arad = v2 / R) and orbital period (v = 2πR / T). The user seeks clarification on the radius and mass units while attempting to solve the homework problem under time constraints.

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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).

A)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. v= ?

B)How long would it take for your rock to return and hit you in the back of the head? t=?


Arad= v^2 / R

v=2 pie R / T

A rad= 4 pie^2 R /T^2

Fnet= m (v^2/R)


My brain is fried trying to figure out these problems since i missed lecture because i was sick. trying to submit this homework that's due in like 2 hours any help will be much appreciated!
 
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Units on your values would help. Is the radius 16m? 16km? 16 miles? How about the mass?
 
1] You must use the template provided.
2] You must show your attempts at a solution.
 

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