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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?

Respuesta :

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,

[tex]MA=\frac{\text{output force}}{input\text{ force}}[/tex]

On substituting the known values,

[tex]\begin{gathered} 2=\frac{60}{\text{input force}} \\ \Rightarrow input\text{ force}=\frac{60}{2} \\ =30\text{ N} \end{gathered}[/tex]

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

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