# Work done by gravity Formula

If you apply a force on a moving object, we say that the force you are exerting performs a work. The work will be proportional to the magnitude of the force exerted by the distance travelled. Gravitational force is defined as the force that attracts a body to the earth or to any other physical body that has mass. If the body moves under the action of the gravitational force, it also performs a work called gravitational work. If a particular object is falling, the particle is forced to point in the direction of gravity. The magnitude of the fall of the body depends on the mass, the gravitational constant and the height from which it is falling.

work = mass* gravity* height

The equation is written

W = m*g*h

We have:

W = work done by gravity

m = mass

g = gravity

h = height

Work done by gravity Questions:

1) A pencil falls from a table. It calculates the work done by the force of gravity. Consider that the mass of the pencil is 10 grams and the height of the table is 60 cm.

Answer: The pencil falls under the action of the force of gravity, to calculate the work done, therefore we will use the equation above, where m = 10 g = 0.01 kg, g = 9.8 m/s^{2}, h = 60 cm = 0.6 m.

W = 0.01 kg* 9.8 m/s^{2} * 0.6 m

W = 0.06 J.

2) A body of 65 kg falls from the terrace of a building 80 m high. Calculate the work done by gravitational force.

Answer: The body falls under the action of the force of gravity, to calculate the work done, therefore we will use the equation above, where m = 65 kg, g = 9.8 m/s^{2}, h = 80 m.

W = 65 kg* 9.8 m/s^{2}* 80 m

W = 50960 J.

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