What work is done when lifting a granite slab with a volume of 2 cubic meters to a height of 12 meters?

When lifting a body of mass m to a certain height h, work is done A = m ∙ g ∙ h, where the coefficient g = 9.8 N / kg.

It is known from the condition of the problem that a granite slab with a volume of V = 2 m ^ 3 is lifted to a height of h = 12 m.To find what kind of work A will be performed in this case, it is necessary to find the mass of the slab by the formula m = ρ ∙ V, where the density of granite is determined according to reference tables ρ = 2600 kg / m ^ 3.

Then A = ρ ∙ V ∙ g ∙ h.

Substitute the values ​​of the quantities into the calculation formula:

A = 2600 kg / m ^ 3 ∙ 2 m ^ 3 ∙ 9.8 N / kg ∙ 12 m;

A ≈ 612,000 J.

Answer: when lifting a granite slab, a work of ≈ 612 kJ is performed.



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