How to Calculate Work When Force Components Are Given?

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SUMMARY

The calculation of work when force components are given can be simplified using the equation W = Fd, where W represents work, F is the magnitude of the applied force, and d is the displacement in the direction of the force. In this case, the vertical component being 2/3 of the horizontal component does not affect the calculation of work, as the direction of the force is not considered in the basic work equation. The correct approach is to use the total magnitude of the force applied, regardless of its components, to determine work done.

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  • Knowledge of the equation W = Fd for calculating work.
  • Ability to perform basic algebraic manipulations to solve equations.
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1. Homework Statement
What should be the value of Work,if vertical component is 2/3 time to the horizontal component of the applied force,while displacement covered in the direction of applied force is X meters?

Homework Equations



W=F.d.....(1)

The Attempt at a Solution


IF horizontal comonent of force is taken as F
then vertical component will be equal to 2/3 : F = 2/3F so then find the magnitude of the force
F=F^2 +2/3F^2 (whole underroot)
and then put the value in equa (1).
now tell me that am i right please?
 
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</code>No, you are not right. The equation W = Fd does not take into account the direction of the force or the displacement. It is a simple equation of work, or energy transfer, and is simply a product of the two variables. So, in this case, if F is the magnitude of the applied force, then Work = F x d, regardless of the direction of the force. Therefore, the vertical/horizontal components of the force do not matter.
 

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