Why is Work Calculated as Fdcosθ Even with Gravity?

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SUMMARY

The discussion centers on the calculation of work in physics, specifically addressing why work is expressed as Fdcosθ, even in the context of gravitational force. The dot product definition is emphasized, confirming that work is a scalar quantity derived from the force vector and the displacement vector. The equation Fdcosθ is consistently applicable, regardless of the force being gravitational or otherwise, as it represents the component of force in the direction of displacement.

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  • Understanding of vector mathematics and dot products
  • Familiarity with the concept of work in physics
  • Knowledge of gravitational force and its effects
  • Basic principles of mechanics and kinematics
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Students of physics, educators teaching mechanics, and anyone seeking to clarify the principles of work and energy in relation to forces, particularly gravitational forces.

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Homework Statement



This is conceptual question...Is work a scalar or vector quantity? Is it force times distance or displacement?

And it just Fdcostheta by definition of the dot product. Why is it cos theta even when you calculate work done by gravity?

Homework Equations



Fdcos theta

The Attempt at a Solution



Just need conceptual clarification.
 
Physics news on Phys.org
hello,

just check http://en.wikipedia.org/wiki/Mechanical_work"

I suppose,it helps.

Dot product of two vectors is scalar :smile:
 
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