The walking excavator ejects 14 m3 of soil at a time, lifting it to a height of 20 m. The weight of the bucket without soil is 20 kN

The walking excavator ejects 14 m3 of soil at a time, lifting it to a height of 20 m. The weight of the bucket without soil is 20 kN. Determine the work being done to lift the soil and bucket.

Data: V1 (the volume of soil lifted by the excavator at one time) = 14 m3; h (lifting height) = 20 m; P2 (bucket weight without soil) = 20 kN (20 * 10 ^ 3 N).
Reference data: ρ (density of soft, low strength soil) = 1500 kg / m3; g (acceleration due to gravity) ≈ 10 m / s2.
The work performed by the excavator to lift the soil and the bucket is determined by the formula: A = ΔEp = (m1 * g * h + P2 * h) = (ρ * V1 * g * h + P * h).
Calculation: A = (1500 * 14 * 10 * 20 + 20 * 10 ^ 3 * 20) = 4.6 * 10 ^ 6 J (4.6 MJ).