![]() ![]() Formula for acceleration due to gravity on any planet –.Generally, for Earth, it decreases with altitude and depth below the surface ‘Acceleration due to gravity’ on any planet changes with the altitude and depth below the surface of the planet.Some important points regarding ‘acceleration due to gravity’ – If we substitute the values for or planet (Earth) as Mass of Earth=5.97219 1 0 24 Kg, Universal gravitational constant = G = 6.67 1 0 -11 N m 2 /K g 2 and radius of Earth = R = 6378.1 Km, we will get the value of g as 9.8 m/ s 2 We will get the value of gravitational acceleration of a body on the surface as, If mass of body is m and mass of Earth is M and radius of Earth is R then the force on that body is,īy comparing this equation with Newton’s second law, In the case of a planet, when a body is sitting on the surface, it will experience an attractive force from the planet. The above expression gives the gravitational force of attraction between two masses. G = Universal gravitational constant = 6.67 1 0 -11 N m 2 /K g 2 Derivation of formula –Īccording to Newton’s law of gravitation, if two bodies have mass M and m and if they are separated by a distance x then they will experiences a force of attraction according to the following formula: If we divide the expression for the force exerted by the planet on the body by the mass of the body, we will get the expression for acceleration. This force is responsible for that body being stuck on the surface. Thus, the force exerted by the entire planet on the body is very large as compared to that exerted by the body on the planet. The planet has a large mass as compared to the small body on the surface. ![]() ![]() Let us assume that a body is sitting on the surface of a planet. Every charge produces its own gravitational field and other masses experience the force of gravitation in the vicinity of that body. ![]()
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