# Sliding down a sliding inclined plane

A box of mass $$2\text{ kg}$$ slides without friction down an inclined plane of mass $$5\text{ kg}$$ that is free to slide horizontally on a frictionless floor. The height of the inclined plane where the box initially stands is $$5$$ meters, and the inclination of the plane is $$30^{\circ}$$.

What will be the magnitude of the velocity of the box (with respect to the stationary floor) just before it leaves the inclined plane?


Details and Assumptions:

• Neglect the dimensions of the box.
• Take the gravitational acceleration as $$g = 9.81\text{ m / s}^2$$.
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