Calculating Work on an Inclined Plane

AI Thread Summary
To find the effort force of pulling a cart up a frictionless ramp, the weight of the cart (7.6734 N) is used in the work equation W=FΔXcosθ. The discussion focuses on comparing the efficiency of an ideal frictionless ramp to one with friction, noting that the calculated efficiency for the frictionless ramp appears lower than expected. This raises questions about the accuracy of the calculations, particularly regarding the force component parallel to the inclined plane. It's emphasized that when calculating work done, only the force component along the direction of motion should be considered. Understanding these principles is crucial for accurate efficiency comparisons between different ramp scenarios.
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Homework Statement


How do you find the effort force of pulling a cart up a ramp with no friction and you know that the weight of the cart is 7.6734 N?


Homework Equations


W=F\DeltaXcos\theta
Efficiency=(work output / work input) x 100

The Attempt at a Solution


My main goal is to compare the efficiency of an ideal frictionless machine (the ramp) to the efficiency of a ramp with friction that I already have the calculations for.
However my efficiency for the frictionless ramp is less than the efficiency for on with friction. Could this be right?
When I'm solving the work equation in order to get the work input and output I use 7.6734 for the force. Is this right?
 
Physics news on Phys.org
When you calculate work done from a constant force, you need only think about the force component parallel to the line of motion. What is the forcecomponent parallel the to inclined plane?
 

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