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Tory experiments with pulleys in physics class. She applies 60 newtons of force to a single pulley to lift a bowling ball. By adding another pulley, she'd get a mechanical advantage of 2. Whats the minimum input force she'll need to lift the ball if she adds another pulley?

User Kuffs
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1 Answer

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10 votes

Given,

The force applied by Tory, F=60 N

Mechanical advantage after adding the second pulley, MA=2

As Tory applies 60 N of force when there is only one pulley, the weight of the ball is 60 N.

Thus the output force is 60 N.

The mechanical advantage is given by,


MA=\frac{\text{output force}}{input\text{ force}}

On substituting the known values,


\begin{gathered} 2=\frac{60}{\text{input force}} \\ \Rightarrow input\text{ force}=(60)/(2) \\ =30\text{ N} \end{gathered}

Thus the minimum input force tory need to apply is 30 N

User Jingx
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