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(II) The masses of the Earth and Moon are 5.98 X 1024 kg
Chapter 1, Problem 57P(choose chapter or problem)
(II) The masses of the Earth and Moon are \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\), respectively, and their centers are separated by \(3.84 \times 10^8 \mathrm{~m}\).
(a) Where is the \(\mathrm{CM}\) of this system located?
(b) What can you say about the motion of the Earth-Moon system about the Sun. and of the Earth and Moon separately about the Sun?
Questions & Answers
QUESTION:
(II) The masses of the Earth and Moon are \(5.98 \times 10^{24} \mathrm{~kg}\) and \(7.35 \times 10^{22} \mathrm{~kg}\), respectively, and their centers are separated by \(3.84 \times 10^8 \mathrm{~m}\).
(a) Where is the \(\mathrm{CM}\) of this system located?
(b) What can you say about the motion of the Earth-Moon system about the Sun. and of the Earth and Moon separately about the Sun?
ANSWER:We have to find the location of the center of mass of the Earth-Moon system and comment about the motion of the Earth-Moon system and the Earth and Moon system about the Sun.
Step 1 of 4
Concept:
Center of mass(CM) of a body is an imaginary point at which the whole mass of the body is supposed to be concentrated. We consider that the net force acts on the center of mass of the body, instead of considering that it acts on each and every point on the body for simpler calculation and this is one of the importance of the application of CM.