Work Done Against Gravity with Uniform Velocity – Rankers Physics
Topic: Work Energy and Power
Subtopic: Work Done by Constant and Variable Forces

Work Done Against Gravity with Uniform Velocity


Assertion (A): A man carrying a load on his head and walking with uniform velocity on a street does not work against gravity.
Reason (R): When a body moves with uniform velocity, work done by all forces on this body is zero.
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Assertion (A) is true because the displacement (horizontal) is perpendicular to the gravitational force (vertical), so work done \(W = \vec{F} \cdot \vec{d} = Fd \cos(90^{circ}) = 0\).


Reason (R) is also true by the Work-Energy Theorem for uniform velocity. However, (R) does not explain (A).

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