Acceleration Due to Gravity of the Earth

Gravitational force on point mass in side solid sphere.

(i) When a point mass $m$ is considered at distance $r$ from the centre of solid sphere inside it then gravitational force on point mass is proportional to.

The ratio of the SI unit to CGS unit of acceleration is

If a feather and a stone are dropped from the same height in a evacuated chamber.

The acceleration due to gravity on the earth's surface is 

The value of acceleration due to gravity is maximum at ____.

As astronaut accidentally gets separated out of his small spaceship accelerating in interstellar space at a constant rate of $100\mathrm{ }\mathrm{m}\mathrm{ }{\mathrm{s}}^{-2}$. What is the acceleration of the astronaut the instant he is outside the spaceship? (Assume that there are no nearby stars to exert gravitational force on him)

Assertion: In a free fall, weight of a body becomes effectively zero.

Reason: Acceleration due to gravity acting on a body having free fall is zero.

The acceleration due to gravity '$g$' and mean density of the earth $\rho$ are related by which of the following relations?

(Where, $G$ is the gravitational constant and $R$ is radius of earth.)

Acceleration due to gravity at earth's surface is $10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$. The value of acceleration due to gravity at the surface of a planet of mass one fifth and radius $\frac{1}{2}$ of the earth is:

If the diameter of mars is $6760 \mathrm{km}$ and mass is one-tenth of the earth. The diameter of earth is $12742 \mathrm{km}$. If acceleration due to gravity on earth is $9.8\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$, the acceleration due to gravity on mars is

An object weighs $10 N$ at the north-pole of the earth. In a geostationary satellite distance $7R$ from the centre of earth (of radius $R$) what will be its true weight?

If the radius of the earth were to shrink by $1\%$ its mass remaining same, the acceleration due to gravity on the earth's surface would

If the radius of the Earth were to shrink by two percent, its mass remaining the same, the acceleration due to gravity on the Earth's surface would

Three weights $w,2w \mathrm{a}\mathrm{n}\mathrm{d}\mathrm{ }3w$ are connected to identical spring suspended from a rigid horizontal rod. The assembly of the rod and weights fall freely. The positions of the weight from the rod are such that

Earth binds the atmosphere because of

Imagine a new planet having the same density as that of earth, but it is $3$ times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is $g$ and that on the surface of the new planet is $g\prime$, then

The masses of two planets are in the ratio $1:2.$ Their radii are in the ratio $1:2$. The acceleration due to gravity on the planets are in the ratio

The density of earth in terms of acceleration due to gravity $\left(g\right),$ radius of earth $\left(R\right)$ and universal gravitational constant $\left(G\right)$ is

If a planet, of given density, was made larger (keeping its density unchanged), its force of attraction, for an object on its surface, would increase because of the increased mass of the planet but would decrease because of the larger separation between the centre of the planet and its surface. Which effect would dominate?

Average density of the earth