Physics · Classical Mechanics
Two classical particles moving in three dimensions interact via the potential V = K[(x12 + y12) + (x22 + y22) + (z1 - z22)], where K is a constant. Let L1z and L2z be the z-components of the angular momenta of the two particles, and p1z and p2z be the z-components of their linear momenta. Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(L1x + L2x) and (L1y + L2y) are conserved
- 2(L1x + L2x), (L1y + L2y), and (L1z + L2z) are all conserved
- 3L1z and L2z are not separately conserved but (L1z + L2z) is conserved
- 4L1z, L2z and (p1z + p2z) are individually or in total conserved as applicable (i.e., L1z, L2z and total pz are conserved)✓
Correct answer
L1z, L2z and (p1z + p2z) are individually or in total conserved as applicable (i.e., L1z, L2z and total pz are conserved)
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