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Because work done is equal to the force times the distance travelled IN THE DIRECTION of the force.

Distance travelled in an oblique direction can be decomposed into two components: s*cos(x) in the direction of the force and s*sin(x) in a direction perpendicular to it (where x is the angle between the force and the resultant motion). Motion in a perpendicular direction is NOT work done by the force, which leaves s*cos(x). Multiply by the force (as required) and you have your answer.

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Related Questions

What is the formula for calculating the work done by a constant force?

The formula for calculating the work done by a constant force is: Work Force x Distance x cos(), where is the angle between the force and the direction of motion.


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