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PHYSICS

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A 27.0 kg child on a 3.00 m long swing is released from rest when the swing supports make an angle of 31.0° with the vertical. Neglecting friction, find the child's speed at the lowest position.

  • PHYSICS - ,

    mass is irrelevant for pendulum, cancels
    Figure out how high the child is above the low point when the chains are 31 deg from vertical
    h = 3 (1 - cos 31)
    U at top = m g h
    Ke at bottom = U at to
    (1/2) m v^2 = m g h
    v = sqrt (2 g h)

  • PHYSICS - ,

    thanks!

  • PHYSICS - ,

    If the speed of the child at the lowest position is 2.50 m/s, what is the mechanical energy lost due to friction?

  • PHYSICS - ,

    mechanical energy lost= PE at top-1/2 m vb^2 where vb is the speed at the bottom

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