Guys m stuck over these... help needed!
Q1. Particles of mass 1.2 kg and 1.4 kg hang at the same level, connected by a long light inextensible string passing over a small smooth peg. They are released from rest with the string taut. Calculate the separation of the particles when they are moving with speed 0.5 metres per second.
Ans: 0.325 m.
Q2. A particle of mass 2.2 kg rests on a smooth slope inclined at 30 degrees to the horizontal. It is connected by a light inextensible string passing over a smooth rail at the top of the slope to a particle of mass 2.7 kg which hangs freely. The particles are set in motion by projecting the lighter down a line of greatest slope with 4 metres per sec. Find the distance the particles travel before their direction of motion is reversed. Find the total energy gained by the hanging mass during this part of the motion, and hence find the tension in the string.
Ans.2.45m , 44.55 J, 18.2 N.
I am completely stuck at 1. However for the second question i am getting -2.45 m so there's probably some mistake in my approach to the question. And kindly guys, try to solve these with the help of energy conservation principle.