Work Direction and Friction – Rankers Physics
Topic: Work Energy and Power
Subtopic: Work Done by Constant and Variable Forces

Work Direction and Friction

Assertion (A): Work done is positive when force acts in the direction of displacement.
Reason (R): Work done by frictional force can not be positive.
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:

Work is \(W = \vec{F} \cdot \vec{d} = Fd cos\theta\). If \(theta = 0\), \(W\) is positive, so (A) is true. Frictional force always opposes motion, so work done by it is negative or zero, never positive. So (R) is true. However, (R) does not explain (A).

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