Question

Крокуючий екскаватор виймає за один раз 14 м3 ґрунту й піднімає його на висоту 20 м. Маса ковша без ґрунту 2 т. Визначити роботу, яку виконує двигун ескаватора під час піднімання грунту і ковша.Густина грунту 1500кг/м3. будь ласка з дано і розвязкои

Answer 1

A = F * S 

F - сила 
S - путь ( 20 м ) 

F = (m1 + m2 ) * g 

m1 = 2 т = 2000 кг 
m1 = p * V = 1500 * 14 = 21000 кг 
g = 10 H / кг 

F (2000 + 21000) * 10 = 23000 * 10 = 230000 H 

A = 230000 * 20 = 4600000 Дж = 4,6 МДж 

Answer 2

Calculation of the Work Done by the Excavator's Engine

To calculate the work done by the excavator's engine during the lifting of the soil and the bucket, we need to consider the following information:

- Volume of soil lifted: 14 m^3 - Height of lifting: 20 m - Mass of the bucket without soil: 2 tons (2000 kg) - Density of the soil: 1500 kg/m^3

The work done by the engine can be calculated using the formula:

Work = Force x Distance

In this case, the force can be calculated by considering the weight of the soil and the bucket. The weight is given by the formula:

Weight = Mass x Gravity

where the mass is the combined mass of the soil and the bucket, and the gravity is the acceleration due to gravity (approximately 9.8 m/s^2).

Let's calculate the work done step by step:

1. Calculate the weight of the soil and the bucket: - Mass of the soil = Volume x Density = 14 m^3 x 1500 kg/m^3 = 21,000 kg - Total mass of the soil and the bucket = Mass of the soil + Mass of the bucket = 21,000 kg + 2,000 kg = 23,000 kg

2. Calculate the force exerted by the weight: - Force = Weight = Mass x Gravity = 23,000 kg x 9.8 m/s^2 = 225,400 N

3. Calculate the work done: - Work = Force x Distance = 225,400 N x 20 m = 4,508,000 N·m or 4,508 kJ (kilojoules)

Therefore, the work done by the excavator's engine during the lifting of the soil and the bucket is approximately 4,508 kJ.

Please note that this calculation assumes ideal conditions and does not take into account any losses due to friction or other factors that may affect the actual work done by the engine.