# Why is work done a dot product of force and distance?

Suppose force is applied on an object at an angle theta and the block moves for some distance along x axis

I understand that we take x component of force which is Force cos theta and multiply it with displacement vector. Why are we ignoring the y component here? Is it because the block moves along x direction?

What if force is applied at an angle theta to the ground and the block moves at an angle gamma to the ground. What will be the work done then?

Should it be F.d. cos (theta + gamma) ?

• I guess that depends on how the force is applied. Am I right? If its a push, its gamma + theta and if its a pull, its gamma - thetha – MrRobot9 May 16 at 0:38