Elevator Problem: 10700 Joules Lifts 3900N by 9 Ropes

[helppleaseee]

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!

 

[MarkusNaslund19]

You have the weight of the elevator. So f=3900N? Try that.

 

[helppleaseee]

then what do i do with the 9 because there are 9 ropes?
...maybe multiply it??

 

[helppleaseee]

nvm i got it...you just ignore the 9 ropes