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Conservation of linear momentum

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Problem

A marble launcher is affixed to the top of the cart which is resting on a horizontal surface. A marble of mass M is inserted into the tube, and the spring is compressed and locked in place. While at rest, the spring is released, and the marble is launched with a velocity of 12m/s. The mass of the launcher and cart is 25M.
Calculate the velocity of the cart and empty launcher after the marble is released.
Write your answer to two significant figures.
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
ms