A balanced lever has two weights on it, the first with mass $14 k g$ $14 kg$ and the second with mass $9 k g$ $9 kg$ . If the first weight is $4 m$ $4 m$ from the fulcrum, how far is the second weight from the fulcrum?

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A balanced lever has two weights on it, the first with mass $14 k g$ $14 kg$ and the second with mass $9 k g$ $9 kg$ . If the first weight is $4 m$ $4 m$ from the fulcrum, how far is the second weight from the fulcrum?

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Answer 1 · 2016-02-15T13:31:36

$\frac{18}{7} \approx 2.57 m$ $18/7 ~~2.57 m$

Explanation:

This is an application of Archimedes' Law of th eLever, which states that when a lever is in balance the ratio of the masses must equal the ratio of the distances from the fulcrum.

If the two masses are $m_{1}$ $m_1$ and $m_{2}$ $m_2$ and the two distances are $d_{1}$ $d_1$ and $d_{2}$ $d_2$ then $m_{1} : m_{2} = d_{1} : d_{2}$ $m_1:m_2 = d_1:d_2$

$: 14 : 9 = 4 : d_{2}$ $:14 : 9 = 4 : d_2$

$\frac{14}{9} = \frac{4}{d_{2}}$ $14/9 = 4 / d_2$

$d_{2} = \frac{4 \cdot 9}{14} = \frac{18}{7} \approx 2.57 m$ $d_2 = (4*9)/14 =18/7 ~~2.57 m$

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A balanced lever has two weights on it, the first with mass $14 k g$ $14 kg$ and the second with mass $9 k g$ $9 kg$ . If the first weight is $4 m$ $4 m$ from the fulcrum, how far is the second weight from the fulcrum?

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Explanation:

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Humanities

... and beyond

A balanced lever has two weights on it, the first with mass 14kg14 kg and the second with mass 9kg9 kg. If the first weight is 4m 4 m from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Explanation:

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A balanced lever has two weights on it, the first with mass $14 k g$ $14 kg$ and the second with mass $9 k g$ $9 kg$ . If the first weight is $4 m$ $4 m$ from the fulcrum, how far is the second weight from the fulcrum?