Question

at what distance from the center of the moon is the point at which strength of the resultant field of earth and moon's gravitational field equal to zero? the earth's mass is 81 times that of moon and the distance between centres of these planets is 60R where R is the radius of the earth

Answer 1

Answer:

Explanation:

mass of moon=M

MASS OF EARTH=81M

DISTANCE BW MOON AND EARTH=60R

R=RADIUS OF EARTH

Y be the distnce from the moon where the gravitational force become zero.

@ Y the gravitational pull by earth will be equal to moon..

GM/Y^2=81GM/(d-Y)y^2

FROM SOLVING THIS

d-Y=9Y

so d=10Y

SO 60R=10Y

Y=6R

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