Push - Push Away!

Andrew want's to send a heavy ball \(A\) from point \(P\) to point \(Q\). Andrew applies a constant force \(F\) which is always parallel to the tangent at that point. The surface is smooth. He want's to do the least possible work. Find the height till which Andrew has to push the ball.

Round off answer to 2 decimal places.

Details And Assumptions:

  • Take height of point \(P=0\).
  • Mass of ball \(A\) is \(2M\).
  • \(F = \displaystyle \dfrac{6Mg}{\pi}\)
  • The curve is Quarter of a Circle with Radius is 20 m

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