Suppose that the Earth and Moon became tidally locked to each other with a period of...
Homework Answers
w = angular speed = 2
/T = 2 x 3.14 / (47
x 24 x 3600) = 1.55 x 10-6 rad/s
I = total moment of inertia of moon around earth = Mmr2 = (7.35 x 1022) (550000,000)2 = 2.22 x 1040
rotational kinetic energy is given as
RKE = (0.5) I w2 = (0.5) (4.58 x 1041 ) (1.55 x 10-6 )2 = 2.7 x 1028
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Suppose that the Earth and Moon became tidally locked to each other
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Today, the Moon’s orbit around
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Earth’s rotation, and at some future date the Moon will have an
orbital period of 47 days. Compute the semi-major axis of the
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Today, the Moon’s orbit around
Earth has a semi-major axis of a=384,400 km and an orbital period
of 27.32166 days.
a. The Moon slowly moves outward due to tidal braking of the
Earth’s rotation, and at some future date the Moon will have an
orbital period of 47 days. Compute the semi-major axis of the
Moon’s orbit at this future date (express your answer in
kilometers).
semi-major axis = 5.5*10^5 km
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