1. Prove that gravitational field is a conservative field
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A conservative force exists when the work done by that force on an object is independent of the object's path. Instead, the work done by a conservative force depends only on the end points of the motion. An example of a conservative force is gravity
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Gravity is a conservative force because the amount of work it does from one point to another is independent of the path taken between those two points. ... That being said, on the very detailed and technical level, the force in gravity does in fact change in relation to your distance from the center of the planet.
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