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Work and Kinetic Energy



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Physics    Newtonian Mechanics    Work and Kinetic Energy

Work done by a Variable Force:

Work done by a variable force can be given as:



Consider a particle being displaced along the x-axis under the action of a variable force. The particle is displaced in the direction of increasing x from x = xi to x = xf. In such a situation the work done can be written as:



If the displacements are allowed to approach to zero then



Thus the work done is given by,



If more than one force acts on the particle, the total work done is just the work done by the resultant force:

 

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