Mass `m_(1)` hits `m_(2)` with inelastic impact (e=0) while slliding horizontally with velocity v along the common line of centres of three equal mass as shoun in fugure `-4.155.` Initially, masses `m_(2)` and `m_(3)` are stationary and the spring is unstressed. Find:

Two masses, m_(1) and m_(2) , are moving with velocities v_(1) and v_(2) . Find their total kinetic energy in the reference frame of centre of mass.

Two masses, m_(1) and m_(2) , are moving with velocities v_(1) and v_(2) . Find their total kinetic energy in the reference frame of centre of mass.

There particles each of mass m can slide on fixed frictioless circular tracks in the same horizontal plane as shown. Particle m_(1)(=m) moves with velocity v_(0) and hits particle m_(2)(=m) , the cofficient of restitution being e=0.5 . Assume that m_(2) and m_(3)(=m) are at rest initially and lie along a radial line before impact, and the spring is initially unstretched. Velocity of m_(2) immediately after impact is

Three point like equal masses m_(1), m_(2) and m_(3) are connected to the ends of a massless rod of length L which lies at rest on a smooth horizontal plane. At t = 0 , an explosion occurs between m_(2) and m_(3) , and as a result, mass m_(3) is detached from the rod, and moves with a known velocity v at an angle of 30^(@) with the y -axis. Assume that the masses m_(2) and m_(3) are unchanged during the explosion. What is the velocity of the centre of mass of the system consisting of three masses, after the expulsion?

Three point like equal masses m_(1), m_(2) and m_(3) are connected to the ends of a massless rod of length L which lies at rest on a smooth horizontal plane. At t = 0 , an explosion occurs between m_(2) and m_(3) , and as a result, mass m_(3) is detached from the rod, and moves with a known velocity v at an angle of 30^(@) with the y -axis. Assume that the masses m_(2) and m_(3) are unchanged during the explosion. What is the velocity of the centre of mass of the system consisting of three masses, after the expulsion?

A particle of mass 2m moving with velocity v strikes a stationary particle of mass 3m and sticks to it. The speed of the system will be