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22 May, 10:54

Archimedes and Heron are playing on a seesaw. Archimedes weighs 75 kg and Heron weighs 150 kg. If Heron is sitting 2 meters from the fulcrum, how many meters does Archimedes need to sit from the fulcrum?

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  1. 22 May, 13:29
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    4metres

    Explanation:

    Using the principle of moment to solve the problem. The principle states that the sum of clockwise moments is equal to the sum of anticlockwise moment.

    Moment = force * perpendicular distance

    Moment of Archimedes about the fulcrum = 75 * x ... 1

    x is the distance of Archimedes from the fulcrum

    Moment of Heron about the fulcrum = 150 * 2 = 300kgm ... 2

    Equation 1 and 2 according to principle of moment to get x we have;

    75x = 300

    x = 300/75

    x = 4metres

    Archimedes need to sit 4m from the fulcrum
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