A 50 kg inclined plane, 4 m long and 30 degrees in angle, rests without friction on a table (there is oil between the inclined plane and the table). A 20 kg mass is at the top of the inclined plane and slides without friction on it. How much will the inclined plane move when the mass reaches the table? What will be the speed of the inclined plane and the speed of the mass when the latter is on the table? (we have conservation of mechanical energy (no friction) and conservation of momentum...)

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.