Determine the work that needs to be done to evenly lift a marble slab with a volume of 8.2 m ^ 3

Determine the work that needs to be done to evenly lift a marble slab with a volume of 8.2 m ^ 3 to a height of 20 m.The density of marble is 2700 kg / m ^ 3

V = 8.2 m3.

h = 20 m.

ρ = 2700 kg / m3.

g = 10 m / s2.

A – ?

We express the work when lifting the marble slab A by the formula: A = F * S.

Since the plate is lifted evenly in a straight line, then F = m * g, S = h.

We express the mass of a marble slab by the formula: m = V * ρ, where V is the slab volume, ρ is the slab density.

The formula for determining the work of lifting the slab A will take the form: A = V * ρ * g * h.

A = 8.2 m3 * 2700 kg / m3 * 10 m / s2 * 20 m = 4428000 J.

Answer: when lifting a marble slab, work A = 4428000 J.