1. Particle 1, of mass m, moving with velocity , makes a head-on mass m/2, which is initially moving with velocity -20. (a) If the particles make a completely inelastic collision (sticking together), calculate the kinetic energy that is lost in the collision and the ratio of the final kinetic energy of the system to the initial kinetic energy of the system. (b) If the particles make an elastic collision, calculate the ratio of the kinetic energy of particle 1 to the kinetic energy of particle 2, before and after the collision.

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