Physics

Physics

Problem

A probe of mass 1.0×103 kg1.0\times10^{3}\,\text{kg} is in a stable circular orbit of radius 2R2R around a planet of mass MM. Engineers plan either (i) to raise the probe to a new circular orbit of radius 4R4R or (ii) to send the probe on an escape trajectory from the original 2R2R orbit. Let W1W_1 be the work required for option (i) and W2W_2 the work required for option (ii). Which of the following is closest to the ratio W1/W2W_1/W_2? a) 0.750.75 b) 0.250.25 c) 0.500.50 d) 1.51.5

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