consider the one dimensional elastic collision. in this collision , an object of

Question

consider the one dimensional elastic collision. in this collision , an object of mass m moving at an initial speed of 3/5 in the +x direction hits an object of mass 2m at rest. it turns out that conservation of four momentum for this elastic collision implies that the x-velocities of the objects after the collision are U3x= -9/41 and U4x =+39/89 in the laboratory frame. a) show that if the objects have these final x-velocities , both the time and x components of the system's four- momentum are indeed conserved in the laboratory frame. b) use the einstein velocity transformation equation to find the velocities in the frame in which the lighter object is initially at rest , and show that the time and the x' components of the system's four momentum are conserved in this frame also.

Explanation / Answer

0.87-0.27 =0.6

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