Physics
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Consider a probe of mass 750 kg in a low-Venus orbit (circular orbit A) that needs to move to a higher orbit (circular orbit B) as shown in the figure. To move from orbit A to orbit B, the satellite must travel through an intermediate elliptical orbit known as a transfer orbit. Calculate the work produced by the probe's engine to move the probe from orbit A to the elliptical orbit.
On a basketball court, a basketball player recorded a standing vertical leap of 125 cm. Imagine that this player was given the opportunity to travel to a spherical celestial object in outer space. The mass per unit volume of the celestial object is 2.2 g/cm3. Calculate the maximum radius of the celestial object, allowing the player to escape by jumping vertically.