# Chapter-8(Gravitation)

## Weightlessness

The weight of a body is the force with which it is attracted toward the centre of the earth. When a body is stationary with respect to the earth, it’s weight equals to the gravity. This weight of the body is known as its static or true weight. At one particular position, the two gravitational …

## Geostationary and Polar Satellite

1. Geostationary Satellite The satellite in a circular orbits around the earth in the equatorial plane with T=24 hours are called geostationary satellite or Geosynchronous satellite. These satellite always stay over the same place above the earth, such a satellite is never at rest and appears stationary due to its zero relative velocity with respect …

## Energy Of An Orbiting Satellite

When a satellite revolves around a planet in its orbit, it posses both potential energy (Due to its position against gravitational pull of the earth) and kinetic energy (Due to orbital motion). If m is mass of the satellite and v is its orbital velocity, then kinetic energy of satellite Satellite are always at finite …

## Earth Satellites

A satellite is a body which is constantly revolving in an orbit around a comparatively much larger body. Example:– The moon is a natural satellite while INSAT-B is an artificial satellite. As we know that centripetal force required for circular orbit is given by Thus from the above it is satisfied to the Kepler’s law …

## Escape Speed

Escape speed on the earth is defined as the minimum speed with which a body should be projected vertically upwards from the surface of the earth so that it just escapes out from gravitational field of the earth and never return on its own. Let a body of mass m lying at distance x from …

## Gravitational Potential Energy

Gravitational potential energy of a body at a point is defined as the amount of work done in bringing the given body from infinity to that point against the gravitational force. Let a body of mass m is placed at P in the gravitational field of a body of mass M. Let r be the …

## Gravitational Potential

Gravitational potential at a point in the gravitational field is defined as the amount of work done in bringing a body of unit mass from infinity to that point without acceleration. Negative sign indicate that the direction of intensity is in the direction where the potential decreases. It is a scalar quantity and it’s SI …

## Intensity Of Gravitational Field At A Point

It is the force experienced by a unit mass placed at that point. Let M be the mass of a body around which a gravitational field exists. In order to get the gravitational field intensity at point P in the gravitational field, at test mass m is placed at the point P. If a test …

## Acceleration Due To Gravity Below The Earth’s Surface

We assume the earth to be a homogeneous sphere. Let ρ be the mean density of the earth and a body be lying on the surface of the Earth, where the value of the acceleration due to gravity is g. Now, the body be taken to a depth d below the free surface of the …

## Acceleration Due To Gravity Above The Surface Of Earth

Let a body of mass m lying on the surface of the earth of mass M and radius R. As we know that acceleration due to gravity at the surface of the earth Let the body is taken to a height h above the surface of the Earth where the value of the acceleration due …

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