Q.

Figure shows a planet in an elliptical orbit around the Sun S. Where is the kinetic energy of the planet maximum?

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a

P1

b

P2

c

P3

d

P4

answer is D.

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Detailed Solution

Here, angular momentum is conserved. According to it,I1w1= I2w2

MR12ω1=MR12ω2,R1v1= R2v2

At point P4, the value of R is minimum and hence the velocity is maximum or KE is maximum
 In an elliptical orbit, the principle of conservation of angular momentum plays a crucial role in determining the speed and kinetic energy of a planet. According to this principle, the angular momentum of a planet remains constant throughout its motion around the Sun.

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