Gravitation Tes...

The mass of earth is $$6\times 10^{24} \ kg$$ and that of the moon is $$7.4\times 10^{22} \ kg$$. If the distance between earth and moon is $$3.84\times 10^{6} \ km$$. Calculate the force exerted by the earth on the moon. $$(G = 6.7\times 10^{-11}N\ m^{2} kg^{-2})$$

If you have to purchase $$100\ kg$$ weight of gold, which place would you prefer-the Earth or the Moon?
Similarly, if you have to sell gold, which place you prefer - The earth or the moon?

Which of the following statements regarding gravitational force existing between two bodies is true?

If $$F$$ is the force between two bodies of masses $${ m }_{ 1 }$$ and $${ m }_{ 2 }$$ at certain separation, then what is the force between $$\sqrt { 5 } { m }_{ 1 }$$ and $$\sqrt { 3 } { m }_{ 2 }$$ at the same separation?

A particle is projected up with a velocity of 20 m $$s^{-1}$$ from a tower of height 25 m. Its velocity on reaching the ground is _________ m $$s^{-1}$$.

Find the gravitational force between the two atoms in a hydrogen molecule. Given that $$G = 6.67\times 10^{-11}N\ m^{2} kg^{-2}$$, mass of a hydrogen atom $$= 1.67\times 10^{-27}kg$$ and distance between the two atoms $$= 1^{\circ}A$$

The acceleration due to gravity on the surface of a planet, whose mass and diameter are double that of the earth, is _____ times the acceleration due to gravity on the surface of the earth.

The gravitational force with which the earth attracts the moon :

The ratio of SI unit of G to its CGS unit is _______.