A space shuttle is initially in a circular orbit at a radius of r = 6.60⋅106 m from the center of the Earth. A retrorocket is fired forward, reducing the total energy of the space shuttle by 10% (that is, increasing the magnitude of the negative total energy by 10%), and the space shuttle moves to a new circular orbit with a radius that is smaller than r. Find the speed of the space shuttle (a) before and (b) after the retrorocket is fired.
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