How Does Direction Affect Scalar Work in Physics?

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SUMMARY

The discussion clarifies that work is a scalar quantity defined by the equation W = Fd cos θ, where θ represents the angle between the force vector and the displacement vector. When the force acts in the opposite direction to displacement, θ equals 180 degrees, resulting in negative work. This indicates that while work is scalar, its value can be influenced by the direction of the force relative to displacement. A sketch illustrating this concept can enhance understanding.

PREREQUISITES
  • Understanding of vector quantities in physics
  • Familiarity with the concept of work in physics
  • Knowledge of trigonometric functions, specifically cosine
  • Basic skills in sketching vector diagrams
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Misr
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hello people ,

We know that work done is scalar because it’s the product of two vector quantities so it needs only magnitude to be defined.
But look …W = Fd cos theta
When the acting force is in the opposite direction to displacement then theta=180

Therefore the work done becomes negative in this case so work is affected by the directions and its scalar so how?
 
Physics news on Phys.org
Would you like to draw a sketch of a force with its point of application being moved 180 to its line of action?

You should see the answer immediately.
 

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