$A$ 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.

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(C, F) No. The linear speed changes as the distance from the Sun changes.
$(b)$ No. The angular speed changes according to Kepler's second law.
$(c)$ Yes. Since the gravitational force is a central force,the torque acting on the comet is zero,so angular momentum is conserved.
$(d)$ No. Kinetic energy changes as the linear speed changes.
$(e)$ No. Potential energy depends on the distance from the Sun,which varies in an elliptical orbit.
$(f)$ Yes. The total mechanical energy of the comet remains constant in the gravitational field of the Sun.

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