Question

The planet Earth orbits around the Sun and also spins around its own axis.

A) Calculate the angular momentum of the Earth in its
orbit around the Sun in kg • m^{2}/s

B) Calculate the angular momentum of the Earth spining on its
axis in kg•m^{2}/s

C) How many times larger is the angular momentum of the Earth in its orbit than the angular momentum of the Earth around its axis?

Answer #1

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For the purposes of this problem, treat the Earth as a solid,
uniform sphere with mass 5.97×1024 kg and radius
6.37×106 m, and assume that the Earth's orbit around the
sun is circular with a radius of 1.5×1011
m.
(A) What is the angular kinetic energy of the Earth due to its
orbit around the sun?
(B) What is the magnitude of the Earth's angular momentum due to
its orbit around the sun?
(C) What is Earth's angular kinetic energy...

Earth has a mass of 5.97 * 10^24 kg and a radius of 6.38 *10^6
m. Assume it is a uniform solid sphere. The distance of Earth from
the Sun is 1.50 * 10^11 m. (Assume Earth completes a single
rotation in 24.0 hours and orbits the Sun once every 365 Earth
days.)
(a) Calculate the angular momentum of Earth in its orbit around
the Sun.
(b) Calculate the angular momentum of Earth on its axis.
Please show your work.

A planet requires 230 (Earth) days to complete its circular
orbit around its sun, which has a mass of 2.4 x 1030 kg.
What are the planet's (a) orbital radius and
(b) orbital speed?

Planet X rotates in the same manner as the earth, around an axis
through its north and south poles, and is perfectly spherical. An
astronaut who weighs 944.0 N on the earth weighs 918.0 N at the
north pole of Planet X and only 850.0 N at its equator. The
distance from the north pole to the equator is 1.882×104
km , measured along the surface of Planet X.
Part A) How long is the day on Planet X?
t...

(a) Calculate the angular momentum of Earth that arises from its
spinning motion on its axis, treating Earth as a uniform solid
sphere. J · s (b) Calculate the angular momentum of Earth that
arises from its orbital motion about the Sun, treating Earth as a
point particle. J · s

a) Calculate the angular momentum of Earth that arises from its
spinning motion on its axis, treating Earth as a uniform solid
sphere. J · s (b) Calculate the angular momentum of Earth that
arises from its orbital motion about the Sun, treating Earth as a
point particle. J · s

(a.) calculate the angular velocity (in rad/s) of the Earthh in its
orbit around the sun and that about its axus
(b.) calculat the moment of inertia, the angular momentum, and
the rotational kinetic enegies for both cases

Planet X rotates in the same manner as the earth, around an axis
through its north and south poles, and is perfectly spherical. An
astronaut who weighs 946.0 N on the earth weighs 920.0 N at the
north pole of Planet X and only 848.0 N at its equator. The
distance from the north pole to the equator is 1.889×104
km , measured along the surface of Planet X.
a) How long is the day on Planet X?
b) If...

Between the orbits of Earth and Mars, there is a region
of space that is filled with a large number of asteroids. One of
the objects within this asteroid belt is the dwarf planet Ceres.
Ceres orbits the Sun in an approximately circular orbit with a
radius about 2.7 times larger than the radius of Earth’s orbit. Is
the time that it takes Ceres to orbit the Sun more than 2.7 years,
equal to 2.7 years, between 1 year and...

Assuming that orbits of earth and Jupiter around sun are
coplanar circular. A Spacecraft depart from earth parking orbit of
an altitude of 200 km maneuver to Jupiter. Calculate the total ΔV
required to perform this maneuver?

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