A balanced lever has two weights on it, the first with mass $6 k g$ $6 kg$ and the second with mass $5 k g$ $5 kg$ . If the first weight is $9 m$ $9 m$ 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 $6 k g$ $6 kg$ and the second with mass $5 k g$ $5 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?

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Answer 1 · 2016-12-20T00:27:10

Place the smaller mass at 10.8 m from the fulcrum to get a balance.

Explanation:

What must "balance" here called the torque on each side of the fulcrum. Specifically, torque is the product of the force on the lever multiplied by the distance this force is from the fulcrum.

The force is found by multiplying the mass by $g$ $g$ , the strength of gravity (9.8 N/kg).

$τ$ $tau$ = $m \times g \times r$ $mxxgxxr$

So, write this expression for each mass and its distnce from the fulcrum and set them equal.

$m_{1} \times g \times r_{1} = m_{2} \times g \times r_{2}$ $m_1 xx g xx r_1 = m_2xxgxxr_2$

However, in this case, the $g$ $g$ appears on both sides of the equation, it can be cancelled:

$m_{1} \times r_{1} = m_{2} \times r_{2}$ $m_1xxr_1 = m_2xxr_2$

Put in the values:

$6 k g \times 9 m = 5 k g \times r_{2}$ $6kgxx9m = 5kgxxr_2$

$r_{2} = \frac{54 k g m}{5 k g}$ $r_2= (54 kgm) / (5kg)$ = $10.8 m$ $10.8m$

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A balanced lever has two weights on it, the first with mass $6 k g$ $6 kg$ and the second with mass $5 k g$ $5 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

A balanced lever has two weights on it, the first with mass 6kg6 kg and the second with mass 5kg5 kg. If the first weight is 9m 9 m from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Explanation:

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Impact of this question

A balanced lever has two weights on it, the first with mass $6 k g$ $6 kg$ and the second with mass $5 k g$ $5 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?