List of top Physics Questions on Newtons law of gravitation

Two neutral bodies of masses $m_1$ and $m_2$ are kept at a distance of r cm from one another in a vacuum medium. A gravitational force F acts between the two bodies. The entire set-up is then transferred, as it is, to a water medium. The force between the bodies is then $F_w$. The ratio of F to $F_w$ is:

Two particles, one heavy and the other light, placed at $50\text{ cm}$ from each other, are under the influence of gravitational force of one another. If mass of the heavier particle is $4\text{ kg}$ and its acceleration under the influence of gravitational force is $5\times10^{-10}\text{ m s}^{-2}$, find the mass of the lighter particle.

The escape velocity of Earth is nearly: ____.

The escape velocity from the Earth's surface is approximately:

The ratio of the escape velocities from the surface of two planets having densities and radii in the ratio 2 : 1 and 1 : 2 respectively is

The height at which the weight of a body becomes one third of its weight on the surface of earth is (R is the radius of earth)

What is the formula for the escape velocity of a body from Earth's surface?

What is the value of escape velocity on the Earth's surface?

A man of mass \(m\) starts falling towards a planet of mass \(M\) and radius \(R\). As he reaches near to the surface, he realizes that he will pass through a small hole in the planet. As he enters the hole, he sees that the planet is really made of two pieces: a spherical shell of negligible thickness of mass \(3M/4\) and a point mass \(M/4\) at the centre. Change in the force of gravity experienced by the man is

A uniform sphere has radius ' \(R\) ' and mass ' \(M\) '. The magnitude of gravitational field at distances ' \(r_1\) ' and ' \(r_2\) ' from the centre are ' \(E_1\) ' and ' \(E_2\) ' respectively. The ratio \(E_1 : E_2\) is (\(r_1 > R\) and \(r_2 < R\))

The force between two identical solid spheres each of radius \( r \) kept in contact is \( F \). If the distance of their centres is made \( 4r \), then the force between them is

A uniform sphere has radius ' \(R\) ' and mass ' \(M\) '. The magnitude of gravitational field at distances ' \(r_1\) ' and ' \(r_2\) ' from the centre are ' \(E_1\) ' and ' \(E_2\) ' respectively. The ratio \(E_1 : E_2\) is (\(r_1 > R\) and \(r_2 < R\))

There is a mine of depth about \( 3.0 \,\text{km} \). Conditions prevailing in this mine as compared to those at the surface of earth are

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

Two spherical planets \( P \) and \( Q \) have the same uniform density \( \rho \), and masses \( M_P \) and \( M_Q \), and surface areas \( A \) and \( 4A \) respectively. Another spherical planet \( R \) also has the same uniform density \( \rho \), and its mass is \( M_P + M_Q \). The escape velocities from these planets is

The value of universal gravitational constant was first determined by

A uniform sphere has radius ' \(R\) ' and mass ' \(M\) '. The magnitude of gravitational field at distances ' \(r_1\) ' and ' \(r_2\) ' from the centre are ' \(E_1\) ' and ' \(E_2\) ' respectively. The ratio \(E_1 : E_2\) is (\(r_1 > R\) and \(r_2 < R\))

Two bodies of masses \(m\) and \(4m\) are kept at a distance of \(x\). The distance on the axial point from \(m\) at which the gravitational field is zero is

A 90 kg body placed at \( 2R \) distance from the surface of the earth experiences gravitational pull of:
(\( R \) = Radius of Earth, \( g = 10 \, \text{ms}^{-2} \)).

A body weighs 300 N on the surface of the earth. How much will it weigh at a distance $\frac{R}{2}$ below the surface of earth? ($R \rightarrow$ Radius of earth)

A thin rod of length 'L' is bent in the form of a circle. Its mass is 'M'. What force will act on mass 'm' placed at the centre of this circle? (G = constant of gravitation)

Four identical particles of equal masses $1 kg$ made to move along the circumference of a circle of radius $1 m$ under the action of their own mutual gravitational attraction. The speed of each particle will be :