is perpendicular to , then

The acute angle made by the line joining the points and with the -axis is

We should remember the formula of direction cosines of all the angles.

If then the angle between  and  is

In a gravitational field, at a point where the gravitational potential is zero

A spherical planet has a mass MP and diameter Dip A particle of mass  falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

The height at which the weight of a body becomes 1/16 th its weight on the surface of (radius R) is

The acceleration of a body due to the attraction of the earth (radius R ) at a distance 2R from the surface of the earth is (g = acceleration due to gravity at the surface of earth)

Acceleration due to gravity on moon is 1/6 of the acceleration due to gravity on earth, If the ratio of densities of earth  and moon  is  then radius of moon Rm in terns of Re will be,

A research satellite of mass 200 kg. circles the earth in an orbit of average radius 3R/2  where R is radius of earth. Assuming the gravitational pall 10N, the pull on the satellite will be...N

If the value of ' g ' acceleration due to gravity, at earth surface fs .10ms^-2 its value in ms^-2 at the center of earth, which is assumed to be a sphere of Radius ' R ' meter and uniform density is

A man can jump to a height of 1.5 m on a planet  Α what is the height ne may be able to jump on another planet whose density and radius are respectively one- quater and one- third that of planet A

If density of earth increased 4 times and its radius becomes half of then out weight will be...

Weight of body of mass m decreases by 1% when it is raised to height h above the earth's surface. If the body is taken to a depth h in a mine. change in its weight is

Density of the earth is doubled keeping its radius constant then acceleration, due to gravity will. be …….ms^-2 (g=9.8 ms²)

The acceleration due to gravity is  at a point distance r from the center of earth . if . R.  if r<R.then

If then

The variable v is used just for simplification. When we take partial derivative w.r.t to certain variable, we keep other variables constant.