Elevator Problem: 10700 Joules Lifts 3900N by 9 Ropes

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The discussion revolves around calculating how far an elevator weighing 3900 Newtons can be lifted using 10700 Joules of work with a frictionless pulley system supported by 9 ropes. The key equations for work (w = fd) and weight (w = mg) are referenced, with an initial attempt to find the mass and force. It is clarified that the force exerted is equal to the weight of the elevator, simplifying the problem. The participant concludes that the number of ropes does not affect the calculation for distance lifted, focusing solely on the total work done. The final solution indicates that the approach leads to a straightforward calculation of distance based on the given work and weight.
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A system of pulleys is used to lift an elevator that weighs 3900 Newtons. The pulley system uses 9 ropes to support the load. How far would 10700 joules of input work lift the elevator? Assume the pulley system is frictionless.

Homework Equations


w=fd
f=ma
w=mg

The Attempt at a Solution


w=fd
10700=fd
and so i tried to solve for f using f=ma...i found m using w=mg (3900=m*9.81=397.55) but we're not given the acceleration so I'm stuck!
 
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You have the weight of the elevator. So f=3900N? Try that.
 
then what do i do with the 9 because there are 9 ropes?
...maybe multiply it??
 
nvm i got it...you just ignore the 9 ropes
 

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