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24 September, 09:43

On a sky coaster (human pendulum) that reaches 10 meters from it's equilibrium position, a man of 120 kg is able to reach a maximum speed of

18m/s

14m/s

1200m/s

11m/s

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  1. 24 September, 10:08
    0
    14 m/s

    Explanation:

    Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.

    Kinetic energy is given by ½mv²

    Potential energy is given by mgh

    Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.

    Equating kinetic energy to be equal to potential energy then

    ½mv²=mgh

    V

    Making v the subject of the formula

    v=√ (2gh)

    Substituting 9.81 m/s² for g and 10 m for h then

    v=√ (2*9.81*10) = 14.0071410359145 m/s

    Rounding off, v is approximately 14 m/s
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