Question

The distance of earth from the sun is R and the time taken by earth to circle round the sun is T. How much time would it take to travel round the sun if the distance reduces to 1/4 of R

Answer 1

Answer:

Let m and M be the masses of the earth and the sun respectively and v the speed of the earth in circular orbit. To keep the earth in circular orbit, the gravitational force

r

2

GMm

must balance the centripetal force

r

mv

2

, i.e.

r

2

GMm

=

r

mv

2

or M=

G

v

2

r

Also, v=

T

2πr

. Using this, we get M=

T

2

G

4π

2

r

3

or M∝

T

2

r

3

.

Answer 2

Answer:

Let m and M be the masses of the earth and the sun respectively and v the speed of the earth in circular orbit. To keep the earth in circular orbit, the gravitational force

Explanation:

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