Question

Мальчик массой 45 кг стоит на лыжах. длина каждой лыжи 1,5 м, ширина 10 см. какое давление оказывает мальчик на снег? сравните его с давлением, которое производит мальчик,стоящий без лыж.

Answer 1

Итак, чтобы вычислить давление на снег, мы должны составить задачу.
m=45 кг
g=9,8 м/с
a = 1,5 м
b = 0,1 м
найти: p, S
p = F:S
S = a*b
F = m*g
решение:
S= 1,5 м * 0,1 м = 0,15 м²
F= 45 кг* 9.8 м/с = 441 Н
P= 441 Н : 0,15 м² = 2940 Па = 2,94 кПа

Answer 2

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Answer 3

Calculating Pressure Exerted by the Boy on Skis

To calculate the pressure exerted by the boy on the snow while standing on skis, we can use the formula for pressure:

Pressure (P) = Force (F) / Area (A)

The force exerted by the boy is his weight, and the area is the area of contact between the skis and the snow.

Given: - Mass of the boy (m) = 45 kg - Length of each ski (l) = 1.5 m - Width of each ski (w) = 10 cm = 0.1 m

First, let's calculate the area of contact (A) between the skis and the snow: Area (A) = Length (l) × Width (w)

Area (A) = 1.5 m × 0.1 m = 0.15 m²

Now, we can calculate the pressure exerted by the boy on the snow: Pressure (P) = Weight (W) / Area (A)

The weight of the boy can be calculated using the formula: Weight (W) = Mass (m) × Acceleration due to gravity (g)

The acceleration due to gravity is approximately 9.81 m/s².

Let's calculate the pressure exerted by the boy on the snow.

Calculation

Weight (W) = 45 kg × 9.81 m/s² = 441.45 N Area (A) = 0.15 m² Pressure (P) = 441.45 N / 0.15 m² = 2943 N/m²

So, the pressure exerted by the boy on the snow while standing on skis is approximately 2943 N/m².

Comparison with Pressure Without Skis

Now, let's compare this pressure with the pressure exerted by the boy when standing without skis.

When standing without skis, the area of contact between the boy's feet and the snow is much smaller than the area of the skis. Therefore, the pressure exerted by the boy without skis would be higher than when standing on skis.

The pressure exerted by the boy without skis would depend on the area of contact between his feet and the snow, which is significantly smaller than the area of the skis. As a result, the pressure exerted by the boy without skis would be higher than the pressure exerted while standing on skis.

In conclusion, the pressure exerted by the boy on the snow is lower when standing on skis compared to when standing without skis due to the larger area of contact provided by the skis.