Why Is Work Equal to Zero When Forces Are Perpendicular?

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When forces are perpendicular, such as the normal force acting on an object moving horizontally, the work done is zero because the angle θ in the work equation W = Fd cos θ is 90 degrees, making cos θ equal to zero. The kinetic energy of the object does not change, which aligns with the work-energy theorem stating that total work equals the change in kinetic energy. The normal force, while acting perpendicular to the motion, does not contribute to work since it does not cause displacement in the direction of the force. Understanding this concept is crucial for grasping why work can be zero in certain scenarios. The discussion emphasizes the importance of recognizing the relationship between force direction and motion in calculating work.
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Homework Statement



See the picture attached please. I need help understanding the concept of why work is = 0. I don't understand it's explanation. Please bare with me for the silly questions.


Homework Equations



W=Kf-Ki

W=Fdcosθ

The Attempt at a Solution



I can't understand why It mentions the normal force acting perpendicular if its being pushed to the left not up.
 

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xtrubambinoxpr said:
See the picture attached please. I need help understanding the concept of why work is = 0.
The total work is zero, since the kinetic energy doesn't change. Look up the work-energy theorem.

I can't understand why It mentions the normal force acting perpendicular if its being pushed to the left not up.
The object is moving parallel to the the ramp, but the normal force acts perpendicular to it. So does the normal force do any work in this case?
 
Doc Al said:
The total work is zero, since the kinetic energy doesn't change. Look up the work-energy theorem.


The object is moving parallel to the the ramp, but the normal force acts perpendicular to it. So does the normal force do any work in this case?


You will have to dumb it down a good amount for me =/
 
xtrubambinoxpr said:
I can't understand why It mentions the normal force acting perpendicular if its being pushed to the left not up.

If a particle moves on a frictionless rigid surface, due to the fact that this surface constrains the motion of the particle, we have an additional force acting (locally) perpendicularly to the surface.
 
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