Gravitation PYQs - Last 5 Years

If the Earth is assumed to be a sphere of uniform mass density and its weight on the surface is 200 N , then the weight of the body at a depth halfway to the Earth's center will be

An object is projected from surface of Earth with a kinetic energy twice that of escape energy ' $K$ ', from surface of Earth. It's kinetic energy when it reaches far away from Earth is

The distance of the centres of Moon and the Earth is $D$. The mass of the Earth is 81 times the mass of the Moon. At what distance from the centre of the Earth, the gravitational force on a particle will be zero?

If gravitational attraction between two points masses be given by $F=G \frac{m_1 m_2}{r^n}$, then the period of a satellite in a circular orbit will be proportional to

A geostationary satellite revolves around the Earth in a circular orbit of radius \(4 R\). Here, $R$ is the radius of the Earth. Then, the time period of another satellite moving in a circular orbit of radius \(2 R\) is:

The gravitational field in a region is given by \(\mathbf{E}=5 \mathrm{~N} / \mathrm{kg} \hat{\mathbf{i}}+12 \mathrm{~N} / \mathrm{kg} \hat{\mathbf{j}}\). The change in the gravitational potential energy of a particle of mass $$1 \mathrm{~k...

A skylab or mass \(m \mathrm{~kg}\) is first launched from the surface of the earth in a circular orbit of radius \(2 R\) (from the centre of the earth) and then it is shifted from this circular orbit to another circular orbit of radius $$3...