Question

1) Find the greatest Six digit number that is a perfect square.

2) The distance between Sun and Earth is 1.496 × 1011 and distance between earth and Moon is

3.84 × 108

. At that time what is the distance between Moon and Sun.​

Answer 1

Answer:

The distance between the centres of the Moon and the earth is D. The mass of the earth is 81 times the mass of the Moon. At what distance from the centre of the earth, the gravitational force will be zero?

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ANSWER

Let the net field at any point P from the earth is zero which is at distance x from the centre of the earth.

Then,the intensity of field at P due to earth =

x

2

GM

e

the intensity of field at P due to moon =

(D−x)

2

GM

m

For no intensity at P.

x

2

GM

e

=

81(D−x)

2

GM

e

taking root we get, x=9(D−x)

or x=

10

9D

Step-by-step explanation:

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