Answer to Question #215281 in Physics for Sera

Question

Two bodies 5 kg and 6 kg masses are connected by a string on a double frictionless inclined plane as shown in the figure below. If the 6 kg mass starts from the top of the plane and the length BC is 8m, find the velocity of the 6 kg body when it reaches the bottom of the plane.

Answer 1

$$0.5(M+m)v^2=(M-m)gh\\0.5(6+5)v^2=(6-5)(9.8)(8)\\v=3.8\frac{m}{s}$$