What is the volume of a granite slab, which is evenly raised to a height of 10 m, if a work equal to 1.56 MJ was performed?

The given tasks: h (height of the granite slab lifting) = 10 m; A (perfect work when lifting the plate) = 1.56 MJ (1.56 * 10 ^ 6 J).

Reference values: ρg (density of granite) = 2600 kg / m3; g (acceleration due to gravity) ≈ 10 m / s2.

The volume of the raised granite slab is expressed from the following formula: A = ΔEp = m * g * h = ρg * V * g * h, whence V = A / (ρg * g * h).

Let’s make a calculation: V = 1.56 * 10 ^ 6 / (2600 * 10 * 10) = 6 m3.

Answer: The granite slab has a volume of 6 m3.



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