Recoiling board

Sam is standing at one end of a \(\SI{10}{\meter}\) board on an ice floor. The board’s mass is \(\SI{30}{\kilo\gram}\) and Sam weighs \(\SI{50}{\kilo\gram}.\)

What distance, with respect to the ice on the ground, does Sam travel if he walks to the other end of the board?

Assumptions: for simplicity, assume that there is no friction between the ice and the board.

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