You are an astronaut and you have landed on a small asteroid with radius 9081 m and a mass of 700 x10^6 kg. You want to throw a small satelite of mass 9600 kg so that it will fly around the asteroid in a circular orbit. What is the weight of the satellite? Assuming that the asteroid is not rotating, how fast do you have to throw the statellite?

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)