Two equal particles, each of mass m, revolve in a circle of radius R under mutual gravitational attraction. What is the speed v of each particle?
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Two equal particles, each of mass m, revolve in a circle of radius R under mutual gravitational attraction. What is the speed v of each particle?

G1 Physics · Accepted Answer

Step 1: The two particles orbit their midpoint at radius R and are separated by 2R. Step 2: Mutual force Gm²/(2R)² supplies mv²/R, yielding v²=Gm/(4R), so v=½√(Gm/R). Final answer: A — ½√(Gm/R).