Gravitation Tes...

The radius of Earth is about $$6400 \ km$$ and that of mars is $$3200 \ km $$. The mass of earth is $$10$$ times that of mars. An object weighs $$200 \  N$$ on the surface of Earth. Its weight on the surface of Mars will be:-

For two balls of equal mass as shown in the figure, the magnitude of gravitational force between them if $$F$$. In which of the conditions shown in the options, the gravitational force remains same i.e., F?

The value of universal gravitational constant $$'G'$$  was first experimentally determined by : 

If the distance between two bodies is doubled, the force of gravitational attraction between them.

The gravitational force between two point masses $${ m }_{ 1 }$$ and $${ m }_{ 2}$$ at separation r is given by 
$$F=k\dfrac { { m }_{ 1 }{ m }_{ 2 } }{ { r }^{ 2 } } .$$
The constant k depends on :

Regarding weight(w) which is correct?

The mass of the moon is $$7.34 \times {10^{22}}kg$$ and the radius is $$1.74 \times {10^6}m$$ . value of gravitational acceleration will be

Weight is defined as

Calculate the force of gravitation between the earth and the sun, given that the mass of the earth $$= 6\times 10^{24}\, kg$$ and of the sun $$= 2\times 10^{30}\, kg$$. The average distance between the two is $$1.5\times 10^{11}m$$.

An astronaut in a space station orbits above the Earth. In the space station, the acceleration due to gravity is $$7.5\ m / s^{2}$$. On Earth, the acceleration due to gravity is $$10\ m / s^{2}$$.
Which statement about the astronaut’s mass and weight in the space station is correct?