What work does gravity do when a 100 g ball falls from a height of 0.5 m?

m = 100 g = 0.1 kg.

g = 9.8 m / s2.

h = 0.5 m.

A -?

The mechanical work of the force is determined by the formula: A = F * S * cosα, where F is the force that acts on the body, S is the displacement of the body under the action of the force, ∠α is the angle between the direction of the force F and displacement S.

The force of gravity F directed vertically downwards and is determined by the formula: F = m * g.

Moving S directed vertically downward and equal to the fall height: S = h.

Since S and m * g are directed in the same way, then ∠α = 0 ° cos0 ° = 1.

A = m * g * h.

A = 0.1 kg * 9.8 m / s2 * 0.5 m = 0.49 J.

Answer: gravity does work A = 0.49 J.