(a) What is the angular momentum of the Moon in its orbit around Earth? (b) How does this angular momentum compare with the angular momentum of the Moon on its axis? Remember that the Moon keeps one side toward Earth at all times. (c) Discuss whether the values found in parts (a) and (b) seem consistent with the fact that tidal effects with Earth have caused the Moon to rotate with one side always facing Earth.
(a) What is the angular momentum of the Moon in its orbit around Earth? (b) How does this angular momentum compare with the angular momentum of the Moon on its axis? Remember that the Moon keeps one side toward Earth at all times. (c) Discuss whether the values found in parts (a) and (b) seem consistent with the fact that tidal effects with Earth have caused the Moon to rotate with one side always facing Earth.
(a) What is the angular momentum of the Moon in its orbit around Earth?
(b) How does this angular momentum compare with the angular momentum of the Moon on its axis? Remember that the Moon keeps one side toward Earth at all times.
(c) Discuss whether the values found in parts (a) and (b) seem consistent with the fact that tidal effects with Earth have caused the Moon to rotate with one side always facing Earth.
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.
(a) Calculate the angular momentum (in kg • m?/s) of Mars in its orbit around the Sun. (The mass of Mars is 6.420 x 1023 kg, the orbital radius is 2.279 x 108 km
and the orbital period is 1.88 y.)
3.53e39
V kg • m2/s
(b) Compare this angular momentum with the angular momentum of Mars on its axis. (The radius of Mars is 3.396 x 103 km and the rotation period is 24.62 h.)
Lorbital
Lrotation
= 2.10e26
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A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m from the center of the planet. What is the angular momentum, in kg m2/s, of the satellite, with respect from an axis from the center of the planet, if it completes one orbit every 1.5 × 104 s?
(a) What is the angular speed w about the polar axis of a point on Earth's surface at a latitude of 74° N? (Earth rotates about that axis
(b) What is the linear speed v of the point? What are (c) w and (d) v for a point at the equator? (Note: Earth radius equals 6370 km anc
let one day be 24 hours)
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
(d) Number
i
Units
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