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13 December, 01:48

Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 3.6 m long. Two playmates are already on either end. Boy A has a mass of 40 kg, and girl B a mass of 30 kg. Where should girl C, whose mass is 20 kg, place herself so as to balance the seesaw?

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  1. 13 December, 03:34
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    the girl C should sit on the right side at 0.9 m from the fulcrum.

    Explanation:

    Given:

    Length of the board, L = 3.6 m

    Mass of boy, A = 40 kg

    Mass of girl B = 30 kg

    Mass of girl C, = 20 kg

    now,

    assume that Girl C is on the right side of the seesaw

    let, x be the distance of the GIrl C from the fulcrum.

    since, the system is in equilibrium, thus Equating the torque on the both sides

    therefore,

    40 * 1.8 = 20 * (x) + 30 * 1.8

    72 = 20x + 54

    or

    20x = 18

    or

    x = 0.9 m

    hence, the girl C should sit on the right side at 0.9 m from the fulcrum.
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