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the work done is zero when the force is acting perpendicular to the surface .this is becacuse cos90 is =0 .My question is why are we taking the angle between the force and displacement vector here.

the work done is zero when the force is acting perpendicular to the surface .this is becacuse cos90 is =0 .My question is why are we taking the angle between the force and displacement vector here.

Grade:10

1 Answers

Rajesh Sardar
32 Points
7 years ago
We know that work done is a scalar quantity and force and displacement both are vector quantity.
Again we know that the product of force and displacement caused by the force is called work done.
Hence we must take the dot product of force and displacement to get the work done by the force, which is a scalar quantity.
Therefore Work done, W = F (force)  .  X(displacement)
Now A . B = |A||B|cos(A,B)
So for taking dot product we must have to bring the angle between force and displacement.
 

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