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    • Physics Cup – TalTech 2023
    • Physics Cup – TalTech 2022
      • Problem 1 - Magnetized ball
      • Problem 2 - Fastest lap
      • Problem 3 - Photon rocket
      • Problem 4 - Image of a point
      • Problem 5 - Satellite
    • Physics Cup – TalTech 2021
      • Problem 1 - Dumbbell in a magnetic field
      • Problem 2 - Comet's orbit
      • Problem 3 - Oscillating octagon
      • Problem 4 - Shock wave in an electron gas
      • Problem 5 - Nonlinear circular resonator
    • Physics Cup – TalTech 2020
      • Problem 0 - Sheet resistance
      • Problem 1 - Small oscillations of a system in an electric field
      • Problem 2 - Staircase-like surface of a crystal
      • Problem 3 - Thread breaking point
      • Problem 4 - Heat flux between plates
      • Problem 5 - Lens position reconstruction
    • Physics Cup – TalTech 2019
      • Problem 1 - Added mass
      • Problem 2 - Heat engines
      • Problem 3 - Bouncing ball
      • Problem 4 - Grid of resistors
      • Problem 5 - Diffraction pattern
    • Physics Cup – 2018
      • Problem 1 - Lattice of resistors
      • Problem 2 - Spaceship missiles
      • Problem 3 - Loop inductance
      • Problem 4 - V-shaped vessel
      • Problem 5 - Mean free path of a black sphere
    • Physics Cup – 2017
      • Problem 1 - Interaction force
      • Problem 2 - N-gon resistance
      • Problem 3 - Electron gas temperature
      • Problem 4 - Lens position
    • Physics Cup – WoPhO 2013
      • Problem 1 - Dodecahedron capacitance
      • Problem 2 - Ring on rails
      • Problem 3 - Gas bubble in water
      • Problem 4 - High-effciency LED
      • Problem 5 - Magnetic levitation
    • Physics Cup – IPhO 2012
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    • PC2021: Intermediate results, Problem 5, week 6
    • PC2021: Intermediate results, Problem 4, week 8
    • PC2021: Intermediate results, Problem 4, week 7
    • PC2021: Intermediate results, Problem 5, week 3
    • PC2021: Intermediate results, Problem 5, week 2
    • PC2021: Intermediate results, Problem 4, week 6
    • PC2021: Intermediate results, Problem 5, week 1
    • PC2021: Intermediate results, Problem 4, week 5
    • 2021-P3 Best Solutions and Final Results
    • PC2021: Intermediate results, Problem 4, week 3
    • PC2021: Intermediate results, Problem 4, week 2
    • PC2021: Intermediate results, Problem 3, week 6
    • PC2021: Intermediate results, Problem 4, week 1
    • PC2021: Intermediate results, Problem 3, week 5
    • PC2021: Intermediate results, Problem 3, week 4
    • PC2021: Intermediate results, Problem 3, week 3
    • 2021-P2 Best Solutions and Final Results
    • PC2021: Intermediate results, Problem 3, week 1
    • PC2021: Intermediate results, Problem 2, week 5
    • PC2021: Intermediate results, Problem 2, week 4
    • PC2021: Intermediate results, Problem 2, week 3
    • 2021-P1 Best Solutions and Final Results
    • PC2021: Intermediate results, Problem 2, week 2
    • PC2021: Intermediate results, Problem 1, week 7
    • PC2021: Intermediate results, Problem 2, week 1
    • PC2021: Intermediate results, Problem 1, week 6
    • PC2021: Intermediate results, week 5
    • PC2021: Intermediate results, week 4
    • PC2021: Intermediate results, week 3
    • PC2021: Intermediate results, week 2
    • PC2021: Intermediate results, week 1
    • Problem 2; intermediate results, weeks 6
    • Problem 3; intermediate results, week 6
    • Problem 4; intermediate results, weeks 5,6
      • Problem 4, weeks 4-6
    • Problem 5; intermediate results, week 6

Problem 4 – Hint 1

The problem can be solved with the help of Runge-Lenz vector.

Please submit the solution to this problem via e-mail to physcs.cup@gmail.com.

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