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Relation between Work Done and PE

In an experim...

Question

In an experiment with a beam balance on unknown mass m is balanced by two known mass m is balanced by two known masses of 16 kg and 4 kg as shown in figure.
Find the value of unknown mass m in kg

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Solution

$16 l_{1} = m l_{2} a n d m l_{1} = 4 l_{2} \Rightarrow \frac{16}{m} = \frac{m}{4} \Rightarrow m = 8$

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