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Q89
(CDS-I/2003)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts
Answer Verified
A body is lifted by a man to a height of 1 metre in 30 seconds. Another man lifts the same body to the same height in 60 seconds. The work done by them respectively are in the ratio of
Result
Your answer:
—
·
Correct:
B
Explanation
Work done is defined as the product of force and displacement in the direction of the force (W = F × d). When lifting a body, the force required is equal to the weight of the object (W = mg) [t3][t4]. In this scenario, both men lift the same body (same mass and weight) to the same height (1 metre), meaning the force and displacement are identical for both [t1][t2]. Since work done depends only on the force applied and the distance moved, and is independent of the time taken to complete the task, the work done by both men is exactly the same [t2][t6]. While the man who lifts the body in 30 seconds generates more power (as power is work divided by time), the total work output remains in a 1:1 ratio [t3].
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