Physics

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Two spheres A and B, where A has twice the mass of B, are projected at the same horizontal velocity off the edge of two different height shelves. Sphere A leaves from a height of 2.0 m. Sphere B leaves a shelf 1.0 m off the floor. If both spheres leave the edge of the table at the same instant, where will sphere A land?

  • Physics -

    The mass has nothing to do with this.
    h = .5 g t^2

    2 hb = ha

    ha = .5 g ta^2
    hb = .5 g tb^2
    so
    ta/tb = sqrt (ha/hb) = sqrt 2
    the horizontal speeds are the same so distance proportional to time in air
    ta u = tb u sqrt 2
    so
    da = sqrt 2 * db

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