Two blocks of mass `M` and `2M` are connected to the two ends of a light, inextensible string passing over an ideal pulley as shown in figure. The system is released from rest.
(a) One second after the system is released, a particle of mass M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling downward. Find the total distance travelled by block of mass 2M after it is released.
(b) One second after the system is released, a particle of mass 2M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling in upward direction. Find distance travelled by the block of mass 2M after it is released to the time it comes to rest for the first time `(g = 10 m//s)^(2)`

Answer

(a) `(5)/(3)m`
(b) `(96)/(9) = 10.67 m`