If a pulley system with an actual mechanical advantage of 2,000,000 is used in lifting a 2,000 lb. car, what effort would be nee

Question

son4ous [18]

3 years ago

5

If a pulley system with an actual mechanical advantage of 2,000,000 is used in lifting a 2,000 lb. car, what effort would be nee

ded to move the car?

Physics

2 answers:

vampirchik [111] · Answer 1 · 2022-02-23T15:27:35+03:00

Answer:

0.001 lb

Explanation:

The mechanical advantage of a pulley system is given by:

$MA=\frac{F_L}{F_E}$

where FL is the load while FE is the effort.

In this problem, we know the mechanical advantage, MA=2,000,000, and we know the value of the load, FL=2,000 lb, so we can re-arrange the equation to find the effort:

$F_E=\frac{F_L}{MA}=\frac{2,000 lb}{2,000,000}=0.001 lb$

zhenek [66] · Answer 2 · 2022-02-23T14:23:09+03:00

Well I must say that's a very interesting machine you've got there. It wouldn't be possible to build a system with an actual mechanical advantage of 2 million. But if you did have such a thing, and you wanted to use it to lift a 2000 pound weight, then you would only need to pull with a force of 1.6% of an ounce ! The bad news is that in order to lift the weight one foot, you'd have to pull about 379 miles of rope through the pulley system !