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

Calculation of Pressure

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

Pressure = Force / Area

The force exerted by the boy is equal to his weight, which can be calculated using the formula:

Weight = Mass × Gravity

Given that the mass of the boy is 45 kg, and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight:

Weight = 45 kg × 9.8 m/s² = 441 N

Now, let's calculate the area of contact between the skis and the snow. The area can be calculated by multiplying the length and width of each ski:

Area = 2 × (Length × Width) = 2 × (1.5 m × 0.1 m) = 0.3 m²

Finally, we can calculate the pressure exerted by the boy on the snow:

Pressure = Weight / Area = 441 N / 0.3 m² ≈ 1470 Pa

Therefore, the boy exerts a pressure of approximately 1470 Pascal (Pa) on the snow while standing on skis.

Comparison with Standing Without Skis

To compare the pressure exerted by the boy while standing on skis with the pressure exerted while standing without skis, we need to consider the area of contact in both cases.

When standing without skis, the area of contact between the boy's feet and the ground is likely smaller than the area of contact between the skis and the snow. Therefore, the pressure exerted by the boy on the ground without skis is likely higher than the pressure exerted on the snow while standing on skis.

However, without specific measurements of the area of contact in both cases, it is difficult to provide an exact comparison. Nonetheless, it is reasonable to assume that the pressure exerted by the boy while standing without skis is higher than the pressure exerted on the snow while standing on skis.

Please note that the above calculations are based on the given information and assumptions.