tutorial sheet 7 - PAP111/PHYS1A Claus-Dieter Ohl Tutorial...

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PAP111/PHYS1A Tutorial Sheet 7 20 th of October 2010 Claus-Dieter Ohl 1 When no external force is acting on a system of particles their center of mass velocity remains constant. This follows from the conservation of momentum. This relationship is very helpful to describe collisions in high energy physics, where a coordinate system fixed to the center of mass is used. 1) Collision and center of mass The velocity of the center of mass of two particles, v cm , is not changed by their collision, whether elastic or perfectly inelastic. Show this for the elastic head-on collision between two particles m 1 and m 2 . Let m 2 equal 3 m 1 and let m 2 be at rest. Plot/sketch snapshots of the collision in the laboratory frame of reference and in the frame of reference such that v cm is 0. Then do the same calculations and sketching for a perfectly inelastic collision. 2) Collision under some angle Two skaters collide and embrace as the figure suggests. One, who’s mass m 1 =70 kg, is initially moving east at a speed v 1 of 6.0 km/h. The
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