What is work done by a force of gravity when a stone of mass 250 g is thrown up through a height of 2.5 m?

This GPE calculator will find the missing variable in the physics equation for gravitational potential energy, when three of the variables are known.

Where:

PEg or PE = gravitational potential energy
m = mass of an object
g = acceleration due to gravity
h = height of the object

What Is Gravitational Potential Energy (GPE)

Potential Energy is the stored energy of an object given its position relative to a body. Gravitational potential energy is one type of potential energy and is equal to the product of the object's mass (m), the acceleration caused by gravity (g), and the object's height (h) as distance from the surface of the ground (the body).

In this example, a 3 kilogram mass, at a height of 5 meters, while acted on by Earth's gravity would have 147.15 Joules of potential energy, PE = 3kg * 9.81 m/s2 * 5m = 147.15 J.

9.81 meters per second squared (or more accurately 9.80665 m/s2) is widely accepted among scientists as a working average value for Earth's gravitational pull. This figure is based on a measure of gravity at sea level at a latitude of 45°.

At higher altitudes, gravity decreases slightly.
The effect of latitude on gravitational force is relevant as gravity increases with increasing distance from the Equator. At the Equator, the Earth's gravity is 9.780 m/s2 and at the poles it is 9.832 m/s2 (source: CRC Handbook of Chemistry and Physics).

Gravitational acceleration (to three significant figures) for other planets and bodies in the solar system is as follows:

(table source: NASA)

*Standard gravity (gn). 1.00gn is equal to 9.80665 m/s2

Potential Energy Units
used in this Calculator

British thermal unit [IT]

References/ Further Reading

Dear Dhriti, The total work done to throw a stone upward and raise to it a height of 2.5 m is done against the gravitational force. Thus, it is equal to the potential energy of the body at that height.

work done, w = mgh

m = 250 g = 0.25 kg
g = 10 m/s
h = 2.5 m
Thus, w=0.25×10×2.5 =6.25 J
Thus, total work done will be 6.25 J.

work done=mass* acceleration due to gravity * height =0.25*9.8*2.5=6.125J

Hope this helps you and don't forget to like thee answer