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Find the distance of a point from the ea...

Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero. The mass of the earth is `6.0xx10^24` kg and that of the moon is `7.4x10^22` kg. The distance between the earth and the moon is `4.0xx10^5km`.

A

zero

B

`3.85xx10^(7)`

C

10^(8)`

D

`3.46xx10^(8)`

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The correct Answer is:
B
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Find the distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero The mass of the earth is 6.0 xx 10^(24)kg and that of the moon is 7.4 xx 10^(22)kg The distance between the earth and the moon is 4.0 xx 10^(5)km .

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Find the gravitational due to the moon at its surface. The mass of the moon is 7.36xx10^2 klg and the radius of the moon is 1.74xx10^m . Assuming the moon be a spherically symmetric body

Find the ratio of escape velocities from the earth and the moon. (Mass of the earth = 6.0 xx 10^(24) kg , Radius of the earth = 6400 km, Mass of the moon = 7.4 xx 10^(22) kg Radius of the moon = 1740 km.)

Calculate the escape velocity from the moon. The mass of the moon =7.4xx10^22kg and radius of the moon =1740km

Calculate the escape velocity from the moon. The mass of the moon =7.4xx10^22kg and radius of the moon =1740km

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The mass of the earth is 6xx10^(24)kg and that of the moon is 7.4xx10^(22)kg . The potential energy of the system is -7.79xx10^(28)J . The mean distance between the earth and moon is (G=6.67xx10^(-11)Nm^(2)kg^(-2))

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