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Universal Law of Gravitation

How many time...

Question

How many time is our sun (i) heavier than earth (ii) bigger in diameter than earth?

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Solution

How many time is our sun (i) heavier than the earth:
The diameter of the earth is 12,742 kilometers whereas the diameter of the sun is 1.3 million kilometers.
It means 109 earth can be lined up across the face of the sun.
Therefore sun's diameter is 109 times more than the earth's.
How many time is our sun (ii) bigger in diameter than the earth:
The mass of the earth is 5.9×10²⁴ kg and the mass of the sun is 1.9×10³⁰ kg.
Therefore the sun is 3,33,000 times heavier than the earth.

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3 \times 10^{5}

times heavier than the Earth and is at a distance

2.5 \times 10^{4}

times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is

v_{e} = 11.2 k m s^{- 1}

. The minimum initial velocity

(v_{s})

required for the rocket to be able to leave the Sun-Earth system is closest to (Ignore the rotation and revolution of the Earth and the presence of any other planet)

Q. (i) The earth-moon distance is about 60 times the earth radius. What will be the diameter of earth (approximately in degrees) as seen from the moon.

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