A probe departing a planet has a measured total mechanical energy of with respect to…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A probe departing a planet has a measured total mechanical energy of +5.0×109 J+5.0\times10^{9}\,\text{J} with respect to the planet after it clears the atmosphere. Which statement best describes the path the probe will follow? (a) It follows a parabolic escape trajectory, coming to rest only at an infinite distance from the planet. (b) It enters an elliptical orbit and remains gravitationally bound to the planet. (c) It follows a hyperbolic trajectory and will not return to the planet. (d) It settles into a circular orbit at a constant altitude above the planet.

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