Force of attraction between two masses \(m_1\) and \(m_2\) is given by,
$$ F = \frac{m_1 m_2}{r^2}$$
Where,
r is the distance between two masses \(m_1\) and \(m_2\).
G is a constant, called the Universal gravitational constant.
That is called Universal law of gravitation.
Acceleration due to gravity ( variation formula )
If a body is falling freely, under the effect of gravity, then the acceleration in the body is called acceleration due to gravity.
Variation in acceleration due to gravity with height
Acceleration due to gravity at a height h above the surface of earth is,
$$g' = g (1 - \frac{2h}{R_e})$$
Where,
Re is the radius of the earth.
g is the acceleratin due to gravity.
Variation in acceleration due to gravity with depth
Acceleration due to gravity at a depth d below the surface of earth is,
$$g' = g (1 - \frac{d}{R_e})$$
Where,
Re is the radius of the earth.
g is the acceleratin due to gravity.
Variation in acceleration due to gravity with rotatio…