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Two blocks are released from the same height above the floor. Block A slides through a less inclined track to the floor, whereas block b slides on more inclined track to the floor. Assume no friction.Which block gets to the bottom(floor) of the incline first?

  • Physics -

    The acceleration rate down the plane is
    a = g sin A,
    where A is the angle the ramp makes to the horizontal. The total length L that it must travel is
    L = H/sin A,
    where H is the height that it must fall.

    The time T required to travel the length of the ramp is such that

    (1/2) a T^2 = L
    T = sqrt(2L/a)
    = (1/sin A) sqrt(gH)
    The smaller the angle A, the longer it takes.

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