Author: Physics Notebook

Let us consider two spherical shells of radii and . These two shells coalesce into one single spherical shell of radius . Let the surface density of the shells is . The respective potentials of the shells at the centres be , and . Now, or, where, is the gravitational constant. Now we can write,…

Let us consider a homogeneous spherical shell of radius and mass , then the gravitational potential at a point on the surface of the spherical shell is , where is the gravitational constant. Gravitational Potential Due To A Solid Homogeneous Sphere At A Point (i) Outside, (ii) On The Surface, And (iii) Inside A Point…

Let us consider a solid sphere of radius and mass . So the gravitational potential at a point on the surface of the sphere is Gravitational potential at a point inside the sphere at a distance from the centre of the sphere is . Gravitational Potential Due To A Solid Homogeneous Sphere At A Point…

Gravitational intensity on the earth’s surface is g: Let us consider the earth as a uniform sphere of radius and mass . We know that the intensity of the gravitational field at any point on the surface of a uniform solid sphere is . Where is the gravitational constant. Gravitational Intensity Due To A Solid…

The velocity on reaching the earth’s surface of a body which falls freely: Let us consider the mass of the earth is and the radius is . There is a body of mass at a the point at a distance from the centre of the earth. Now the differential equation of motion of the body…

Time period of an artificial satellite: Let us consider an artificial satellite revolves around the earth with a velocity , at a height from the surface of the earth. Mass of the earth is and radius is . Here, the gravitational force of attraction is equal to centrifugal force on the satellite. where is the…

Orbital velocity of an artificial satellite: Let us consider an artificial satellite revolves around the earth with a velocity , at a height from the surface of the earth. Mass of the earth is and radius is . Here, the gravitational force of attraction is equal to centrifugal force on the satellite. where is the…

Escape Velocity: Escape velocity is defined as the minimum velocity with which an object is projected from the surface of a planet so that the object does not come back to the surface of the planet. Escape velocity does not depend upon the mass of the projected object. Escape velocity depends upon the radius of…

Value of g at the centre of the earth: If g is the gravitational acceleration at the earth’s surface and g’ is the gravitational acceleration at a depth from the surface of earth. then we know that, . Where R is the radius of the earth. Read In Detail. Now at the centre of the…

Effect of depth on g: Let us consider the earth as a homogeneous sphere of radius , mass and the mass density .Now the gravitational attraction on a mass at the surface of the earth is given by, or, Where is the gravitational constant and is the acceleration due to gravity. Let us consider a…