First slide

Gravitaional potential energy

Question

The kinetic energies for a planet in an elliptical orbit about the sun, at positions A, B and C are K_A,K_B and K_C , respectively. AC is the major axis and SB is perpendicular to AC at the position of the sun S as shown in the figure. Then

Moderate

A

K_A < K_B < K_C
B

K_A > K_B > K_C
C

K_B > K_A > K_C
D

K_B < K_A < K_C

Solution

If r be the radial distance of a planet from the centre of sun , then conserving energy -
1/2 mV² + (-GM_sm / r) = T.E.
⇒ K = T.E + GM_s m / r
Now r_A < r_B < r_C
.: K_A > K_B > K_C

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