Author: Physics Notebook

Geo-stationary satellite: When a satellite revolves around the earth at a suitable height from the surface of the earth, with the same velocity in the same direction as the earth revolves around its own axis, then the satellite is called geo-stationary satellite. The relative velocity of a geo-stationary satellite with respect to the earth is…

Height 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 gravitational constant.…

Let us consider the mass and the radius of the earth is and respectively. When the radii are and , the moment of inertia of the earth are and respectively, and are the angular velocities respectively, and are the respective time period of the earth. We know that, So The duration of a day would…

Gravitational self energy: Let us consider a uniform sphere of radius , mass and the density of the material of the sphere is . Let us consider the uniform sphere is formed by bringing particles one after another from infinity to the positions they occupy in the sphere. The work done in doing this process…

Motion of a body in a tunnel through the earth along a diameter: Let us consider the mass of the earth is and the radius is with centre at the point . A body of mass is dropped into a frictionless straight tunnel , though the earth that is along a diameter as shown in…

Motion of an object in the tunnel through the earth from one point to another point of the surface: Let us consider the earth is a sphere of radius , mass , density and is the centre of the earth. is a straight frictionless tunnel connecting two points and on the surface of the earth…

Let us consider a solid sphere of mass “M” and radius “a” and a strip of thickness dx at a distance x from the centre o of the sphere. The radius of the strip is and the area of the strip is If is the density of the material of the sphere. Therefore the mass…

Two concentric spherical shells of masses and have uniform density . These two spherical shells behave as if their masses and are concentrated at their common centre. (i) At the point r=a: The magnitude of the gravitational fields at r=a due to and are and respectively, both are directed along the line joining the common…

Let us consider a sphere of radius “a” with centre at “O” and a smaller sphere is described on the radius of the previous sphere as diameter with centre at “P”. So the gravitational intensity at the point within the large sphere is of magnitude . Where is the density of the material of the…

Let us consider two homogeneous shells of radii & respectively and the surface of the material is . Now the potentials are, where is the gravitational constant. therefore, , Now given, So, .