define acceleration due to gravity
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when a freely falling body is falling in downward directions due to the influence of earth's gravity this acceleration is known as acceleration due to gravity it is denoted by 'g'
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✒ Accelation Due to Gravity
- Acceleration due to gravity is the acceleration gained by an object due to gravitational force.
- Its SI unit is m/s².
- It has both magnitude and direction, hence, it’s a vector quantity.
- Acceleration due to gravity is represented by g.
- The standard value of g on the surface of the earth at sea level is 9.8 m/s².
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-: Additional Information :-
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✒ What is Gravity?
- Gravity is the force with which earth attracts a body towards its centre.
- Let us consider two bodies of masses ma and mb.
- Under the application of equal forces on two bodies, the mass in terms of mass is given by :-
- mb = ma [aA/aB] this is called an inertial mass of a body.
✒ Formula of Acceleration due to Gravity
- Force acting on a body due to gravity is given by, f = mg
- Where f is the force acting on the body, g is the acceleration due to gravity, m is mass of the body.
- According to the universal law of gravitation, f = GmM/(r+h)²
✒ Symbols and Full Forms
- f = force between two bodies,
- G = universal gravitational constant (6.67×10^-11 Nm²/kg²)
- m = mass of the object,
- M = mass of the earth,
- r = radius of the earth.
- h = height at which the body is from the surface of the earth.
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