Question

Prove that gravitational field is a conservative field.

Answer 1

Answer:

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.

Answer 2

We know that a conservative force is a type of force wherein there is no net work done during its motion in any closed loop. And when we throw a ball up there is negative (-) work done as it moves against the force of gravity and during the fall the gravity is in the positive (+)direction. The resultant work done is zero and the force of gravity is path independent. So g.f is a c.f

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