Wedge problem

The system is released from rest. Calculate the speed of wedge (in \(\text{ms}^{-1}\)) when block reaches the bottom of the wedge.

Details and assumptions:

  • Wedge is movable

  • Mass of wedge is twice the mass of block

  • The height of the wedge is 20 meters

  • The angle of inclination is \(30 ^\circ\)

  • Take \(g = 10 \, \text{ms}^{-2}\)

  • All the surfaces are smooth

  • Give your answer to 2 decimal places.

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