Work Done by Gravity Formulas - Gravitational Force
Force due to gravity acts in downward direction. So for a freely falling object work done by force due to gravity is given by: W = mgh Where, W = work done g = acceleration due to gravity h = height of free fall If the angle between gravitational force and direction of motion is 𝚹, then work done due to gravity is given by W = mgh cos 𝚹
So if an object is moving in horizontal direction on the surface of earth, then work done by gravity is ‘zero’.
Example: A 5 kg box falls at angle 450 from a height of 10√2 m. Determine the work done by gravity. Solution: Given: Mass m = 10 kg, angle = 450 The work done by gravity formula is given by, W = mgh cos θ W = 5 × 9.8 × 10√2 cos 450 = 490 J Therefore, the work done by gravity is 490 J.
Question: If work done by gravity on a freely falling object of mass 4Kg is 1000J, Find the height from which it’s falling.