A friend and I were having a debate as to wether this theory holds true:
Please try to imagine that you were motionless in free space (relative to whatever....) and you were standing on one end of a plank with your feet firmly secured to the plank, and at the other end of the plank there was a board much like a basketball back board firmly secured to the plank facing you. Please Imagine you had pockets full of good sized rocks, if you were to throw a rock at the back board, you and the plank along with the back board would move in the opposite direction to the rock until the rock hit the back board, then at that point the rock hitting the backboard would cancel out the motion bringing the plank to a stand still again? For the purpose of this theory, please exclude any energy loss from flexibility of the man throwing the rock or any energy loss due to the absorption of energy by the back board or any energy loss due to rotation, just try to imagine that 100% of the rock’s energy is transferred to the backboard on impact. If you had an infinite amount of rocks in your pocket, could you continue to move in a start stop fashion by continually throwing the rocks at the back board?
Additional notes: My friend was caught up on the blowing your own sail paradox where the forces cancel each other out, but in my theory, the forces only cancel out when the rock hits the back board, while the rock is travelling toward the backboard, the plank and everything fixed to it will move in the opposite direction of the rock until the rock hits, if this process can be repeated many times with infinite rocks then the plank should continue to move in the same direction as long as the rock keep getting thrown at the board?