$($a$)$ Calculate the work $($in MJ$)$ necessary to bring a $102$ kg object to a height of $996$ km above the surface of the Earth.

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$($b$)$ Calculate the extra work $($in J$)$ needed to launch the object into circular orbit at this height.

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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 $v^2.$ The additional work is equal to the kinetic energy, so find $K$ using your value for $v^2.$ J