Question

Мальчик массой 55 кг стоит на коньках. Ширина лезвия коньков рав- на 5 мм, а длина той части лезвия, которая опирается на лёд, составля- ет 17 см. Вычислите давление, производимое коньками на лёд. Срав- ните полученный результат с давлением, которое производит мальчик, стоящий без коньков, если площадь подошв его ботинок равна 300 см2.​

Answer 1

Ответ:

Объяснение:

Площадь лезвия конька:

S₁ = 5·10⁻³·17·10⁻² = 850·10⁻⁶ м²

Площадь двух лезвий:

S = 2·850·10⁻⁶ = 1,7·10⁻³ м²

Давление:

p = m·g / S = 55·10 / (1,7·10⁻³) ≈ 324 кПа

Давление, оказываемое мальчиком без коньков:

p = 55·10 / (300·10⁻⁴) ≈  18 кПа

Answer 2

Calculation of Pressure Exerted by Ice Skates

To calculate the pressure exerted by the ice skates, we need to use the formula for pressure:

Pressure = Force / Area

In this case, the force is the weight of the boy standing on the ice skates, and the area is the area of the part of the skate blade that is in contact with the ice.

Given information: - Mass of the boy = 55 kg - Width of the skate blade = 5 mm = 0.005 m - Length of the part of the skate blade in contact with the ice = 17 cm = 0.17 m - Area of the boy's shoe sole = 300 cm² = 0.03 m²

First, let's calculate the force exerted by the boy's weight:

Force = Mass * Acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Force = 55 kg * 9.8 m/s²

Now, let's calculate the area of the skate blade in contact with the ice:

Area = Width * Length

Area = 0.005 m * 0.17 m

Finally, we can calculate the pressure exerted by the ice skates:

Pressure = Force / Area

Now, let's perform the calculations.

Force = 55 kg * 9.8 m/s² = 539 N Area = 0.005 m * 0.17 m = 0.00085 m²

Pressure = 539 N / 0.00085 m²

Using these calculations, we can determine the pressure exerted by the ice skates.

Please give me a moment to perform the final calculation.