Question:

A comet orbits the sun in a highly elliptical orbit. Does the comet have a constant
(a) linear speed,
(b) angular speed,
(c) angular momentum,
(d) kinetic energy,
(e) potential energy,
(f) total energy throughout its orbit?
Neglect any mass loss of the comet when it comes very close to the Sun.

Updated On: Nov 6, 2023
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Solution and Explanation

(a) No, the linear speed of a comet is not constant.


(b) No, the angular speed of the comet is different throughout the orbit.


(c) Yes, Angular momentum is constant.


(d) No, speed is not constant.


(e) No, potential energy is not constant.


(f)  Yes, Angular momentum and total energy at all points of the orbit of a comet moving in a highly elliptical orbit around the Sun are constant. Its linear speed, angular speed, kinetic, and potential energy varies from point to point in the orbit.

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