What are conservative forces ? Show that gravitational force is a conservative force

Show analytically that gravitational force is a conservative force.

In the case of conservative force

In the case of conservative force

Assertion : The principle of superposition is not valid for gravitational force. Reason : Gravitational force is a conservative force.

Explain qualitatively that how is the gravitational force a conservative force?

Is friction a non-conservative force?

Statement-1:Comets move around the sun in elliptical orbits, the gravitational force on the comet due to sun is not normal to the comet's velocity, but the work done by the gravitational force over every complete orbit of the comet is zero. Statement-2: Gravitational force is a conservative force and the work done by a conservative force over a closed path is always zero.

Conservative Forces in Nature

Question|Area Of Force Displacement Curve|Conservative Force|Work Done By Gravitational Force|Questions|Non Conservative Force