A clever inventor arranges ropes and pulleys to lift a heavy log. The log weighs 2,000 newtons. If she pulls 10 meters of rope to lift the log 2 meters, what force does she apply to the rope

Respuesta :

Given :

A clever inventor arranges ropes and pulleys to lift a heavy log. The log weighs 2,000 newtons.

To Find :

If she pulls 10 meters of rope to lift the log 2 meters, what force does she apply to the rope.

Solution :

Mechanical advantage is :

[tex]M.A = \dfrac{10}{2}\\\\M.A = 5[/tex]

Also, mechanical advantage is given by :

M.A = Output Force/Input Force

Input Force = Output Force/M.A

Input Force = 2000/5

Input Force = 400 N.

Therefore, she will apply 400 N to the rope.

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