Three equal mass satellites A, B, and C are in coplanar orbits around a planet a
ID: 2215761 • Letter: T
Question
Three equal mass satellites A, B, and C are in coplanar orbits around a planet as shown in the figure. The magnitudes of the angular momenta of the satellites as measured about the planet are LA, LB, and LC. Which of the following statements is correct? A) LA > LB > LC B) LC > LB > LA C) LB > LC > LA D) LB > LA > LC E) The relationship between the magnitudes is different at various instants in time. PLEASE EXPAIN YOUR ANSWER
Three equal mass satellites A, B, and C are in coplanar orbits around a planet as shown in the figure. The magnitudes of the angular momenta of the satellites as measured about the planet are LA, LB, and LC. Which of the following statements is correct? A) LA > LB > LC B) LC > LB > LA C) LB > LC > LA D) LB > LA > LC E) The relationship between the magnitudes is different at various instants in time. PLEASE EXPAIN YOUR ANSWERExplanation / Answer
angular momentum = m*v*r
m= mass
v= orbital velocity
r= orbital radius from the centre of the planet
as mass is same in all the cases given
as r increses the velocity of the satellite increses as it has to cover greater distance in the same time.
hence for the farthest satellite angular momentum is maximum as it has greater 'r' and 'v'
assuming that A is the inner most satellite,B in the middle and C is the farthest satellite
B) LC > LB > LA
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