Work Done by Conservative Force – Rankers Physics
Topic: Work Energy and Power
Subtopic: Potential Energy & Equilibrium

Work Done by Conservative Force

Assertion (A): Work done by conservative force along closed path is zero.
Reason (R): When an object is moved along closed path beginning and ending are at same point its displacement is zero.
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion is true by definition of a conservative force, which does zero work over any closed path.


Reason is also true as displacement is zero for a closed path, i.e., \(\Delta \vec{r} = 0\). However, the reason is not the correct explanation for why work by a conservative force is zero; this is due to path independence and \(\Delta U = 0\) for a closed path.


Thus, both are true, but R is not the correct explanation of A.

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