Uranus has a mass of 8.68 1025 kg and a radius of 2.56 107 m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 1012 m. (Assume Uranus completes a single rotation in 17.2 hours and orbits the Sun once every 3.06 104 Earth days.) (a) Calculate the angular momentum of Uranus in its orbit around the Sun, using kg · m2/s. (b) Calculate the angular momentum of Uranus on its axis, using kg · m2/s.

Uranus has a mass of 8.68 1025 kg and a radius of 2.56 107 m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 1012 m. (Assume Uranus completes a single rotation in 17.2 hours and orbits the Sun once every 3.06 104 Earth days.) (a) Calculate the angular momentum of Uranus in its orbit around the Sun, using kg · m2/s. (b) Calculate the angular momentum of Uranus on its axis, using kg · m2/s.

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Question

Uranus has a mass of 8.68 10²⁵ kg and a radius of 2.56 10⁷ m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 10¹² m. (Assume Uranus completes a single rotation in 17.2 hours and orbits the Sun once every 3.06 10⁴ Earth days.)

(a)

Calculate the angular momentum of Uranus in its orbit around the Sun, using kg · m²/s.

(b)

Calculate the angular momentum of Uranus on its axis, using kg · m²/s.

Uranus has a mass of 8.68 × 1025 kg and a radius of 2.56 × 10' m. Assume it is a uniform solid sphere. The distance of Uranus from the Sun is 2.87 x 10-2 m.
(Assume Uranus completes a single rotation in 17.2 hours and orbits the Sun once every 3.06 x 10“ Earth days.)
(a) Calculate the angular momentum of Uranus in its orbit around the Sun, using kg • m2/s.
kg · m2/s
(b) Calculate the angular momentum of Uranus on its axis, using kg •
·m²/s.
kg · m2/s
Additional Materials
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Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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