Elevator Problem: 10700 Joules Lifts 3900N by 9 Ropes

  • Thread starter Thread starter helppleaseee
  • Start date Start date
  • Tags Tags
    Elevator
Click For Summary
SUMMARY

The discussion centers on calculating how far an elevator weighing 3900 Newtons can be lifted using 10700 Joules of work through a frictionless pulley system with 9 ropes. The relevant equations include work (w = fd), force (f = ma), and weight (w = mg). The user initially struggled with the acceleration variable but concluded that the force exerted by the elevator's weight is sufficient for the calculation, ultimately determining that the number of ropes does not affect the distance calculation.

PREREQUISITES
  • Understanding of basic physics concepts such as work, force, and weight.
  • Familiarity with the equations of motion: w = fd, f = ma, and w = mg.
  • Knowledge of pulley systems and their mechanics.
  • Ability to perform unit conversions and basic algebraic manipulations.
NEXT STEPS
  • Study the principles of mechanical advantage in pulley systems.
  • Learn about energy conservation in frictionless systems.
  • Explore advanced applications of Newton's laws in real-world scenarios.
  • Investigate the effects of friction on pulley systems and how to account for it in calculations.
USEFUL FOR

Students studying physics, engineers working with mechanical systems, and anyone interested in understanding the dynamics of pulley systems and work-energy principles.

helppleaseee
Messages
11
Reaction score
0
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!
 
Last edited:
Physics news on Phys.org
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
 

Similar threads

Forces acting on a box-pulley system in an elevator?
  • · Replies 33 ·
2
Replies
33
Views
8K
Newton's law problem: Helicopter lifting a box with a rope
  • · Replies 5 ·
Replies
5
Views
3K
Monkey accelerating up and down a rope
  • · Replies 38 ·
2
Replies
38
Views
5K
Problem with pulleys - two fixed and one movable
  • · Replies 22 ·
Replies
22
Views
1K
Work Done by Elevator Cable in Sample Problem 7-6
  • · Replies 2 ·
Replies
2
Views
3K
What is the power input of a motor pulling up an elevator?
  • · Replies 3 ·
Replies
3
Views
3K
How Does Elevator Physics Affect the Work Done by a Cable?
  • · Replies 2 ·
Replies
2
Views
3K
Finding Force and work on a moving object
  • · Replies 18 ·
Replies
18
Views
3K
Scale Reading in Elevator: Mass, Acceleration, and Velocity Calculations
  • · Replies 6 ·
Replies
6
Views
3K
Tension on a Massive Rope: How to Calculate Tension at Different Points
  • · Replies 11 ·
Replies
11
Views
3K