Physics · Gravitation
Two particles of masses m1 and m2, interacting via gravity, rotate in circular orbits about their common center of mass with the same angular velocity ω. Let r1 and r2 be their constant distances from the center of mass, K1 and K2 be their kinetic energies, and L1 and L2 be the magnitudes of their angular momenta. Which of the following relations is correct?
- 1L1/L2 = m2/m1
- 2K1/K2 = m2/m1✓
- 3ω = √(G(m1 + m2) / (r1 + r2)2)
- 4m2r2 = m1r1
Correct answer
K1/K2 = m2/m1
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