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# Manfra8 - Course Business PHYS342 Lecture 8 Problem set 3...

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Course Business: PHYS342 Lecture 8 Problem set 3: From Chapter 2 – problems: 26, 27, 31, 32, 37, 41, 44, 57, 58, 60 We will try to cover relativistic momentum and energy today. We will finish relativity next week. On next Friday the 4th we will have an in class practice exam on relativity. It will not count toward your grade – it is simply practice solving problems for the exam on February 11th.

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Relativistic Momentum Before the collision, the momentum of Mary’s ball, as measured by Frank, becomes: Before Before For a perfectly elastic collision, the momentum after the collision is: After After The change in y -momentum of Mary’s ball according to Frank is: v K K x z y v Mx p m = 2 2 1 v / My p mu c = - v Mx p m = 2 2 1 v / My p mu c = - - 2 2 2 1 v / My p mu c = - - whose magnitude is different from that of his ball: pFy = 2 m u
The conservation of linear momentum requires the total change in momentum of the collision, Δ pF + Δ pM , to be zero. The addition of these y -momenta is clearly not zero. Linear momentum is not conserved if we use the conventions for momentum from classical physics—even if we use the velocity transformation equations from special relativity. There is no problem with the

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Manfra8 - Course Business PHYS342 Lecture 8 Problem set 3...

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