Question

При равномерном подъёме из шахты нагруженной углём бадьи массой 10,5 т произведена работа 6200кДж.Какова глубина шахты?

Answer 1

Дано:                       СИ
m=10,5 т                10500 кг
А=6200 кДж            6 200 000 Дж
g=9,8 м/с²
Найти:
h=? м
Решение
Произведённая работа равна (формула):
А=Fh=mgh, где
F - сила тяжести, Н;
m - масса тела, кг;
g - ускорение свободного падения, м/с²;
h - высота (глубина), м.

Выразим из формулы глубину:
h=А÷mg
Подставим числовые значения величин:
h=6 200 000÷(10500×9,8)=6200000÷102900=60 (м)
ОТВЕТ: глубина шахты составляет 60 метров.

Answer 2

Calculation of the Depth of the Shaft

To calculate the depth of the shaft, we can use the work-energy principle. The work done on an object is equal to the change in its potential energy. In this case, the work done on the coal-filled bucket is equal to the change in its gravitational potential energy.

The work done on the bucket can be calculated using the formula:

Work = Force x Distance

The force acting on the bucket is equal to its weight, which can be calculated using the formula:

Weight = Mass x Gravity

Given that the mass of the bucket is 10.5 tons (or 10,500 kg) and the work done is 6200 kJ, we can calculate the depth of the shaft using the following steps:

1. Convert the work done from kilojoules to joules: - 1 kJ = 1000 J - 6200 kJ = 6200 x 1000 J = 6,200,000 J

2. Calculate the weight of the bucket: - Weight = Mass x Gravity - Weight = 10,500 kg x 9.8 m/s^2 (acceleration due to gravity) = 102,900 N

3. Calculate the distance traveled by the bucket: - Work = Force x Distance - Distance = Work / Force - Distance = 6,200,000 J / 102,900 N = 60.25 m

Therefore, the depth of the shaft is approximately 60.25 meters.

Please note that the provided search results did not contain specific information related to the calculation of the depth of the shaft. However, the calculation is based on the principles of work and energy, which are fundamental concepts in physics.