PHYS 211 Lecture Notes - Lecture 14: Laboratory Frame Of Reference

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Where vi = initial velocity, vf = final velocity and v* = velocity in center of mass reference frame. V1, v2 are velocities of two different object acting upon each other. This equation means the rate of approach = the rate of separation. This is true in any reference frame. Va, b is the relative velocity vector from both frames. This will cancel when we take the difference of the two objects. V2,b - v1,b = v2,a - v1,a. Mbb >>mpp (mpp so much smaller than mbb, it"s almost negligible) |vbb,f - vpp,f| = |vbb,i - vpp,i| = |v - 0| = v = vbb,f. |vbb,i - vpp,i| = |vpp,f - vbb,f| =|vpp,f - v| = v. We can see this using previous methods as well. Vbb,f = vbb,i (mbb - mpp)/(mbb + mpp) v (mbb)/(mbb) = v. Vpp,f = vbb,i 2mbb/(mbb + mpp) v (2mbb/mbb) = 2v. Both are true where faverage = p / t.

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