Question

Камень падает в шахту. Через 6 с слышен удар камня о дно шахты. Определить глубину шахты, если скорость звука 330 м/с.

Answer 1

h = g(t – h/330)²/2
Раскрываем скобки, решаем квадратное уравнение.
Должно получиться примерно 150 м.
Если не считать сопротивление воздуха.(тут додумаешь)

Answer 2

Problem Analysis

We are given that a stone is dropped into a shaft, and the sound of the stone hitting the bottom of the shaft is heard after 6 seconds. We need to determine the depth of the shaft, given that the speed of sound is 330 m/s.

Solution

To solve this problem, we can use the formula for the time it takes for an object to fall freely from a height h:

t = sqrt(2h/g)

where: - t is the time taken (6 seconds in this case) - h is the height or depth of the shaft (what we need to find) - g is the acceleration due to gravity (approximately 9.8 m/s^2)

Rearranging the formula to solve for h, we get:

h = (g * t^2) / 2

Substituting the given values, we can calculate the depth of the shaft:

h = (9.8 * 6^2) / 2

Let's calculate the value of h:

h = (9.8 * 36) / 2 = 176.4 meters

Therefore, the depth of the shaft is approximately 176.4 meters.

Conclusion

The depth of the shaft is approximately 176.4 meters, given that the sound of the stone hitting the bottom of the shaft is heard after 6 seconds and the speed of sound is 330 m/s.

Please let me know if there is anything else I can help you with!