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28 June, 04:22

when Heather swings on a swing set she moves in a periodic motion like a pendulum she has a mass of 62 kg if Heather has a maximum height of 1.2 M what is her maximum velocity?

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  1. 28 June, 06:03
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    Answer

    U Max velocity = Potential energy = kinetic energy

    The potential energy is the product of mass * acceleration due to gravity * height

    The kinetic energy is the product of 1/2 mass * square of velocity.

    Max Velocity=mgh = 1/2mv^2

    Mass is given as 62kg, height = 1.2m and g = 9.8m/s^2

    62kg * 9.8m/s^2*1.2 = 1/2*62kg * v^2

    729.12=31v^2

    V^2 = 729.12/31 = 23.52

    V^2=square root of 23.52

    V = 4.85m/s
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