A crate is moved across a frictionless floor by a rope THAT is inclined 30 degrees above horizontal. The tension in the rope is 50 N. How much work is done in moving the crate 10 meters?

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04-06-2022
Physics

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A crate is moved across a frictionless floor by a rope THAT is inclined 30 degrees above horizontal. The tension in the rope is 50 N. How much work is done in moving the crate 10 meters?

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LammettHash LammettHash · Answer 1 · 2022-06-07T19:27:26+02:00

LammettHash LammettHash

07-06-2022

Only the horizontal component of the tension force is performing work on the crate. This component has magnitude (50 N) cos(30°) = 25√3 N, so the work done is

(25√3 N) (10 m) = 250√3 N•m ≈ 433 J

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