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vertical lift versus slope

the work done is the same (force * distance), but with a say 30 degree slope you need only half the force but need to travel twice as far to raise the load the same height vertically

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Q: How does an inclined plane change how work is done?
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How do you calculate input work of an inclined plane?

how do I calculate the input work of an inclined plane


How does an inclined plane change the way work is done?

An incline plane allows less effort (pushing force) to be used to move a weight to a higher level without lifting straight up. You have to push it a longer distance, so ideally, the same amount of work is done, but really, due to friction more work is done. Maybe you can't lift a 500 pound barrel, but you can roll it up an inclined plane into the back of a truck.


Is it easier to lift a 50 kilogram box straight up 8 meters or slide it up an inclined plane that is 20 meters long?

While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.


Does an inclined plane reduce work?

Yes.


What are some interesting facts about inclined planes?

The purpose is to reduce the force that must be applied to raise a load. The inclined plane and rollers were used in building the pyramids in Egypt. To raise a body vertically a force must be applied that is equal to the weight of the body. The amount of work done in raising the body is equal to its weigt times the distance through which it is raised. If friction is ignored, the work done using the inclined plane will be exactly equal to the work done in lifting the body directly.