Work Done by a Force: A Breakdown

Thread starter IMGOOD
Start date Jan 20, 2007
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Force Work Work done

AI Thread Summary

Work done by a force is indeed equal to the sum of the work done by its components, as demonstrated through the scalar product of force and displacement. When a force F acts on an object over a displacement d, the total work can be calculated using the formula W = F · d, which incorporates the angle between the force and displacement vectors. For instance, if force F is broken down into its x and y components, the work done by each component can be calculated separately and summed to yield the total work done. This principle holds true in both one and two-dimensional scenarios, confirming that the work done by a force is additive. Understanding this concept is crucial for analyzing forces in physics.

Jan 20, 2007

IMGOOD

Is a work done by a force equal to the sum of the work done by the its components?

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Jan 20, 2007

radou

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IMGOOD said:

Is a work done by a force equal to the sum of the work done by the its components?

Try to think of an example to prove/disprove your point. Let a force F be doing some work on a displacement d. Define the work and look at the scalar product.

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