Gravitation Tes...

Two planet have the same average density but their radii are $${ R }_{ 1 }$$ and $${ R }_{ 2 }$$ . If acceleration due to gravity on these planets be $${ g }_{ 1 }$$  and$${ g }_{ 2 }$$ . respectively, then

Two persona A and B are sitting on weighing machines arranged in two vans parked at the equatorial region. They show same reading. If A moves due west and B moves due east with a speed of 200 kmph along the equator, then

The distance between two planets of masses M and 4M is 'a' what is the gravitational potential at a point on a line joining them of which the gravitational intensity is zero?

If $$g$$ is acceleration due to gravity on the surface of the earth$$,$$ having radius $$R,$$ the height at which the acceleration due to gravity reduces to $$g/2$$ is

A particle of mass $$m$$ is released from a height R ( radius of earth) from the surface of earth. When it reaches the earth's surface, it enters a tunnel leading to its centre. Its speed at the centre is 

If $$W_1,W_2$$ and $$W_3$$ represent the work done in moving a particle from A to B along three different paths 1,2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $$W_1,W_2$$ and $$W_3$$:

How much energy will be necessary for making a body of 500 Kg to escape from the earth?
$$ [ g = 10 m/s^2$$, radius of earth $$= 6.4 \times 10^6 m] $$

The gravitational field due to a mass distribution is $$\vec {I} = \dfrac {k}{x^{3}}\hat {i}$$ where $$k$$ is a constant. Taking the gravitational potential to be zero at infinity, its value at a distance $$x= d$$ is

An artificial earth satellite is taken from a higher orbit to a lower orbit $$ i.e.r_2 < r_1 $$. In this process,the gravitational potential energy 

The weight of a body of mass $$250\ kg$$ when it is at a height of $$4$$ times the radius of earth, from earth's surface is :