Umakant Kondapure, Collin Fernandes, Nipun Bhatia, Vikram Bathula and, Ketki Deshpande Solutions for Chapter: Gravitation, Exercise 1: Classical Thinking

If the earth were to stop rotating, the value of acceleration due to gravity in Mumbai will

At any point within the interior of the earth, the acceleration due to gravity varies with $r$ (distance between the centre of the earth and the point) as

A geostationary satellite

A geostationary satellite has an orbital period of

When a satellite moves around the earth (consider elliptical orbits),

Choose the correct statement from the following: The radius of the orbit of a geostationary satellite depends upon

Assertion: Two solid spheres of radius $r$ and $2r$, made of the same material, are kept in contact. The mutual gravitational force of attraction between them is proportional to $1/r^4$.

Reason: Gravitational attraction between two-point. Mass of the bodies varies inversely as the square of the distance between them.

Assertion: A body weighs $X$ newton on the surface of the earth. Its weight at a height equal to half the radius of the earth will be $\frac{2X}{5}$.

Reason: $g^{\text{'}}=g\frac{R^2}{{\left(R+h\right)}^2}$.