A small block of mass m sits at the left edge of a smooth hemispherical bowl of radius R and mass M. The small block is released from rest and slides up and down the bowl without friction, effectively moving as a pendulum. Assume as well that there is no friction between the ground and the the flat bottom of the bowl.
Determine the speed of the bowl when the small block reaches the bottom of the bowl. Determine the distance travelled by the bowl by the time the small block reaches the right edge of the bowl and stops there.
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