What work is done when a granite slab with a volume of 2m3 is evenly lifted to a height of 3m. The density of granite is 2700 k / m3
To find out the desired perfect work when lifting (evenly) the presented granite slab, consider the formula: Ax = ΔEp = mpl * g * Δh = ρgr * Vpl * g * Δh.
Const: ρgr – density of granite (according to the condition ρgr = 2.7 * 10 ^ 3 kg / m3) g – gravitational acceleration (g ≈ 9.8 m / s2).
Data: Vpl – the volume of the presented granite slab (Vpl = 2 m3); Δh – change in height (Δh = 3 m).
Let’s perform the calculation: Ax = ρgr * Vpl * g * Δh = 2.7 * 10 ^ 3 * 2 * 9.8 * 3 = 158.76 * 10 ^ 3 J.
Answer: The work when lifting the presented granite slab was 158.76 kJ (at g ≈ 9.8 m / s2 Ax = 162 kJ).
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