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Unformatted text preview: energy when it is 4.00 10 6 m from the center of Zero? Since the gravitational force is a conservative force, the mechanical energy of the probe-planet system is conserved. The energy conservation equation yields E i = E f K i GMm/R i = K f GMm/R f K f = K i GMm(1/R i 1/R f ) = 9.96 10 6 J b) If the probe is to achieve a maximum distance of 8.00 10 6 m from the center of Zero, with what initial kinetic energy must it be launched from the surface of Zero? When the probe reaches the maximum height, its speed becomes zero. The energy conservation equation leads to E i = E f K i GMm/R i = -GMm/R f K i = GMm(1/R i 1/R f ) = 1.47 10 8 J...
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- Spring '08