Work Done by Tension in Cable: More Than Gravity?

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SUMMARY

The discussion centers on the work done by tension in a cable compared to the work done by gravity. It is established that the work done by tension is equal to the work done by gravity, despite the presence of horizontal displacement. The key point is that the direction of the force and displacement must be considered to accurately calculate the work done, specifically using the formula \(\vec{F} \cdot \vec{d}\).

PREREQUISITES
  • Understanding of basic physics concepts such as work, force, and displacement.
  • Familiarity with vector mathematics, particularly dot products.
  • Knowledge of tension in cables and its role in mechanical systems.
  • Basic grasp of gravitational forces and their effects on objects.
NEXT STEPS
  • Study the principles of work and energy in physics.
  • Learn about vector operations, specifically the dot product and its applications in physics.
  • Explore the mechanics of tension in cables and its implications in engineering.
  • Investigate the effects of horizontal displacement on work calculations in various physical scenarios.
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Physics students, engineering professionals, and anyone interested in understanding the mechanics of tension and gravity in physical systems.

rootX
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This questions asks what is the work done by the tension in the cable. And, the book answered that it is equal to the work done by the gravity.
But shouldn't it be more than the work done by the gravity? (because there is also a horizontal displacement)
see the attached image
attachment.php?attachmentid=9780&stc=1&d=1176673900.jpg
 

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I can't see your attachment yet, what is the direction of the force? So what is [itex]\vec{F} \cdot \vec{d}[/itex] ?

AM
 

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