Two blocks A and B of masses m_1 = 3 kg and m_2 = 6 kg respectively are connected with each other by a spring of force constant k = 200 N/m as shown in figure. Blocks are pulled away from each other by x_0 = 3 cm and then released. When spring is in its natural length and blocks are moving towards each other, another block of mass m 3 kg moving with velocity v_0 =0.4 m/s (towards right) collides with A and gets stuck to it. Neglecting friction, calculate (a) Velocities v_1 and v_2 of the blocks A and B respectively just before collision and their angular frequency . (b) Velocity of centre of mass of the system, after collision (c) Amplitude of oscillations of combined body (d) Loss of energy during collision.

Two blocks A and B of masses m_1 = 3 kg and m_2 = 6 kg respectively ar

1.	Two blocks A and B of masses m_1 = 3 kg and m_2 = 6 kg respectively are connected with each other by a spring of force constant k = 200 N/m as shown in figure. Blocks are pulled away from each other by x_0 = 3 cm and then released. When spring is in its natural length and blocks are moving towards each other, another block of mass m 3 kg moving with velocity v_0 =0.4 m/s (towards right) collides with A and gets stuck to it. Neglecting friction, calculate (a) Velocities v_1 and v_2 of the blocks A and B respectively just before collision and their angular frequency . (b) Velocity of centre of mass of the system, after collision (c) Amplitude of oscillations of combined body (d) Loss of energy during collision.
Answer» SOLUTION :`(a) 0.2 m//s , 0.1 m//s , 10 ` rad/s (B) 0.1 m/s (towards right) , (c) 4.8 cm , (d) 0.03 J