(a) Calculate the work (in MJ) necessary to bring a 105 kg object to a height of 1003 km above the surface of the Earth. :1 x The work done must provide the increase in gravitational potential energy, so calculate AUg for the system. You will need the radius and mass of the Earth for your calculation. M] (b) Calculate the extra work (in J) needed to launch the object into circular orbit at this height. |:lx Notice that the centripetal force for the object in orbit is due to the gravitational force from the Earth. Write and equate two expressions for the force, in terms of Newton's universal law of gravitation and the centripetal force, and solve for v2. The additional work is equal to the kinetic energy, so nd K using your value for v2. J