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A physical balance has its arms of length 60 cm and 40 cm. What weight kept on a pan of longer arm will balance an object of weight 100 gf kept on other pan?

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Answer

As we know, the principle of moments states that

Anticlockwise moment = Clockwise moment

100gf×40cm=W×60cm100gf \times 40cm = W \times 60cm

Weight on the longer pan

W=(100×40)60W=66.67gfW = \dfrac{(100 \times 40) }{60} \\[0.5em] W = 66.67gf

So, a weight of 66.67gf kept on the pan of longer arm will balance the object of weight 100 gf kept on the other pan.

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