List of top Physics Questions on Gravitation asked in AP EAPCET

An artificial satellite of mass \(m\) revolves around a planet in a circular orbit of radius \(R\) under the influence of an attractive central force given by \[ F\propto R^{-5/2}. \] How do the orbital velocity \(V\) and time period \(T\) depend on the orbital radius \(R\)?
A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into another circular orbit of radius 1.01 R around the earth. The period of revolution of the second satellite is larger than that of the first one by a percent of (approximately)
Two objects of masses 5 kg and 10 kg are placed 2 meters apart. What is the gravitational force between them?
(Use \(G = 6.67 \times 10^{-11}\, \mathrm{Nm^2/kg^2}\))
The height at which the weight of a person becomes 25% of his weight on the surface of the earth is: (R$_E$ is the radius of the earth)
If an object of mass 1 kg is taken to a height which is equal to three times the radius of the earth, then the change in its potential energy is
(Radius of the earth \( = 6400 \, \text{km} \), acceleration due to gravity \( g = 10 \, \text{m/s}^2 \))
An artificial satellite is revolving around a planet of radius \( R \) in a circular orbit of radius \( a \). If the time period of revolution of the satellite, \( T \propto a^{3/2}g^xR^y \), then the values of \( x \) and \( y \) are respectively:
The time period of a simple pendulum on the surface of the earth is T. If the pendulum is taken to a height equal to half of the radius of the earth, then its time period is
If the escape velocity of a body from the surface of the earth is 11.2 km/s, then the orbital velocity of a satellite in an orbit which is at a height equal to the radius of the earth is
Two solid spheres each of radius \( R \) made of same material are placed in contact with each other. If the gravitational force acting between them is \( F \), then
The acceleration due to gravity at a height of $(\sqrt{2} - 1)R$ from the surface of the earth is (where $g = 10\, m/s^2$ and $R$ is the radius of the earth)
A particle is projected from the surface of the Earth with a velocity equal to twice the escape velocity. When the particle is far from the Earth, its speed will be:
Which of the following statements are true about acceleration due to gravity \( g \)?
A. \( g \) is greater at poles.
B. \( g \) decreases with height.
C. \( g \) is same all over Earth.
D. \( g \) is maximum at centre of Earth.
The time period of a simple pendulum on the surface of the Earth is \( T \). At what height above the surface will the time period become \( 2T \)?
(Radius of Earth = \( 6400 \, \text{km} \))
The ratio of inertial mass to the gravitational mass of a body is
A satellite is plad in a circular orbit around the earth at an altitude of 1000 km. The time period of the satellite in minutes is approximately (mass of the earth $= 6 \times 10^{24}$ kg, radius of the earth $= 6.4 \times 10^6$ m, $G = 6.67 \times 10^{-11}$ Nm$^2$kg$^{-2}$)
A hole is drilled from one end to the other end of Earth and an object of mass $m$ is dropped down the hole. The gravitational force acting on the object as a function of distance $r$ from the center of Earth is (Assume mass of Earth = $M$, radius = $R$, and uniform density)
The gravitational potential energy of a system of three masses $ m $, $ 2m $, and $ 3m $ placed at the three vertices of an equilateral triangle of side $ a $ is Options:
Two objects separated by a distance r gravitationally attract each other with force F. If the distance between them is tripled, the force of attraction between them is
When a ball is dropped from a height it takes \(t\) sec to reach the ground. If the same experiment is done on a different planet having mass \(100\) times the earth's mass and radius \(10\) times the earth's radius, then the time it will take to cover the same height in the new planet is:
A uniform solid sphere of radius \(R\) produces a gravitational acceleration of \(a_0\) on its surface. The distance of the point from the centre of the sphere where the gravitational acceleration becomes \[ \frac{a_0}{4} \] is
As shown in the figure, two spherical cavities are made in the uniform solid sphere of radius R. The boundaries of the cavities touch at the centre of the sphere. The centers of the cavities and the sphere lie on the x-axis. The mass of the solid sphere before the cavities were created was M. The gravitational force on a point mass m at a distance 'd' away from the center of the solid sphere is
two spherical cavities are made in the uniform solid sphere of radius R
When a ball is dropped from a height $h$ it takes $t$ sec to reach the ground. If the same experiment is done on a different planet having the mass 100 times the earth’s mass and radius 10 times the earth’s radius, then the time it will take to cover the same height $h$ is
Statement (A): Two artificial satellites revolving in the same circular orbit have the same period of revolution.
Statement (B): The orbital velocity is inversely proportional to the square root of the radius of the orbit.
Statement (C): The escape velocity of a body is independent of the altitude of the point of projection.
A projectile is thrown straight upward from the earth’s surface with an initial speed \( V = \alpha V_E \), where \( \alpha \) is a constant and \( V_E \) is the escape speed. The projectile travels up to a height 800 km from the earth’s surface, before it comes to rest. The value of the constant \( \alpha \) is:
(Take radius of the earth \( R = 6400\, \text{km} \))
A rubber band catapult has initial length \(2\,\text{cm}\) and cross-sectional area \(5\,\text{mm}^2\). It is stretched to twice its length and then released to project a stone of mass \(20\,\text{g}\). The velocity of the projected stone is: (Young's modulus of rubber \( Y = 5 \times 10^8\,\text{Nm}^{-2} \))