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Conservative and Non Conservative Forces

If U 1, U 2, ...

Question

If $U_{1}, U_{2}, U_{3}$ represents the potential energy of mass $m$ moving from A to B along three different paths $1$ , $2$ & $3$ (as shown in the figure) in the gravitational field, then

A

U_{1} = U_{2} = U_{3}

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B

U_{1} > U_{2} > U_{3}

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C

U_{1} < U_{2} < U_{3}

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D

U_{1} > U_{2} < U_{3}

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Solution

The correct option is A $U_{1} = U_{2} = U_{3}$
We know that gravitational potential is path independent, that is conservative in nature.

Conservative forces only depend on final and initial position

Thus, $U_{1} = U_{2} = U_{3}$

Option A is the correct answer

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