A) work energy theorem
B) conservation of linear momentum
C) conservation of angular momentum
D) conservation of energy
Correct Answer: C
Solution :
From Kepler's 2nd law - The straight line joining the sun and the planet sweeps out equal areas in equal time intervals \[(\frac{dA}{dt}=\] const; area swept) Areal velocity of the satellite is given by \[\frac{dA}{dt}=\frac{1}{2}\omega {{r}^{2}}=const.=\frac{L}{2m}\] where\[\omega \] = angular velocity of the satellite L = mvr =\[m\omega {{r}^{2}}\] = const, showing that Kepler's 2nd law is a consequence of the conservation of angular momentum.
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