Two bodies of mass m₁ and m₂ = 2m, are attached to two inextensible ropes of negligible mass and length L = 1m, which are bound to the same point C in the figure with coordinates (0, L). Initially, the bodies are held stationary and the two ropes form an angle of 10 with the vertical. The two bodies are left free to move at the same time and collide in a totally inelastic manner. a) Prove that the two bodies collide at the origin of coordinates 0(0, 0) and calculate the velocity of both bodies before the collision. b) Calculate the velocity of the two bodies after impact. c) Calculate the x and y coordinates of the two bodies when they reach their maximum altitude after impact.​