Question

Ot
Mass of Earth 81 times that of Moon. Radine
Earth is 6560 km. Distance between the centres
of the Earth and the Moon is 60 times that of
Earth's radius. The distance of the centre of mase
of the Earth Moon system from the centre of Earth
is
a) 1600 km
c) 6000 km
b) 4800 km
d) 3200 km​

Answer 1

Answer:

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Answer 2

b) 4800 km

Explanation:

Let

Mass of moon,M= m

Mass of earth,M'=81 m

Radius of earth=6560 km

Distance between the centers of the earth and the moon=$60\times 6560=393600 km</p><p>Position vector for earth , r=0</p><p>Position vector of moon, r'=393600 km</p><p>Distance of the center of mass of earth moon system</p><p>[tex]R=\frac{Mr'+M'r}{M+M'}$

Using the formula

$R=\frac{m(393600)+0}{m+81m}=\frac{393600}{82}=4800 km$

Hence, the distance of the center of mass of the earth moon system from the center of earth is 4800 km.

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https://brainly.in/question/14964430:Answered by Ananaqvi