1n=2 only
Consider an attractive central force of the form F(r) = -k/rn where k is a constant. For a stable circular orbit to exist what should be the value/values of n?
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11 Answers
1i think if i m right then n≥1 as for stable orbit -∂F/∂r is negative as potential energy is minimum thinking so ..
1sorry and thanx aragorn for giving those comment i had use wrong relation its answer will be n≥2 as ∂U/∂r =-F and for stable equilibrium P.E. must be negative then intgrate it then u will get if n≥2 then we will get -ve P.E. i had not use vector notatiuonof formula ok
11F(r) = -k/rn
What is the significance of the negative sign? Can't we combine it with k and write it as another K?
1this is a nice question... i think rahul is nearest to the explanation...
we need to kp in mind dat 'stable' thing...
but there's something more lucid...
well still thinking ....
11Does the negative sign indicate the direction of the force?