Pulley problem solving for mass

AI Thread Summary
The discussion revolves around calculating the maximum weight of a piano that can be lifted using a pulley system with 6 strands of rope and a total exerted force of 1111 N. The user attempts to apply the force multiplier principle but struggles to arrive at the correct answer. They use the formula Fg / Fext = N, leading to a calculation that suggests the piano could weigh approximately 566.84 kg. There is speculation about potential issues with unit conversions or discrepancies in the expected answer. The conversation highlights the complexities of applying physics principles in practical scenarios.
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Movers have to haul a piano up to a window that is 5 floors above the ground. They decide to use a pulley system with 6 strands of rope. if the movers can exert a total force of 1111 N, how heavy a piano can they hoist?

It doesn't say where the movers are standing but I'm assuming on the ground level/ I've tried solving this what appeared to be a straight forward force multiplier problem a number of ways and can't get the correct answer.

Using Fg / Fext = N
where Fg = m * g
and g = 9.8

m * g / 1111 = 5 ( 1 strand is the pulling strand)

therefore m * G = 5555
leaving m = 5555 / 9.8 = 566.84Kg

Same method using a 6 multiplier bit it is also incorrect. What am I missing here.

Thanks
 
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I would have said 5555 N as well. Could the problem be that the answer is given in different units? What is the given answer?
 
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