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Here are the key steps to solve this problem: 1) For a central force inversely proportional to R^n, the orbital speed v is given by: v^2 = k/R^n-1 2) Using the equation for centripetal force: mv^2/R = k/R^n 3) Period of revolution T is given by: T = 2πR/v 4) Substitute the expression for v^2 from step 1 in step 3: T = 2πR(R^(n-1)/k)^(1/2) 5) For any value of n, T is proportional to R^(3/2).
- Author
- sanjaykhatwani
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- EN