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Yb) The distance between the Earth and the Moon ism 3.8 x 105 km. Find five times this distance andwrite it in standard form. |
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Answer» Answer: The distance between EARTH and moon is about 3.8×10 KM. At what points will the net gravitational force of earth-moon system be zero? [Given the mass of the earth is 81 times the moon's mass]. (Hint: Assume a body of unit mass at the null point) MEDIUM Share Study later ANSWER Given M earth
=81m moon
Let p be a null point Let x m be the distance from the moon to the null point. Distance of null point from earth is (3.8×10 8 −x)m Force due to earth on null point = Force due to moon on null point (3.8×10 8 −x)
Gm earth
(1)
= x 2
Gm moon
(1)
(3.8×10 8 −x) 2
81m moon
= x 2
m moon
3.8×10 8 −x 9
= x 1
9x=3.8×10 8 −x x=3.8×10 7 m The net is zero at 3.8×10 7 from moon. |
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