Question

Мальчик массой 45 кг стоит на лыжах. Длина каждой лыжи одна целое пять десятых метра, ширина 10 см. Какое давление оказывать мальчик на снег? Сравнить 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 remains the same, regardless of whether he is standing on skis or not. The force is equal to the weight of the boy, which is given as 45 kg.

The area of contact between the skis and the snow is the product of the length and width of one ski. The length of each ski is given as 1.5 meters, and the width is given as 10 centimeters (or 0.1 meters).

Let's calculate the pressure exerted by the boy on the snow while standing on skis:

Force = Weight of the boy = 45 kg

Area = Length of one ski * Width of one ski = 1.5 m * 0.1 m = 0.15 m²

Pressure = Force / Area = 45 kg / 0.15 m²

Now, let's calculate the pressure:

Pressure = 45 kg / 0.15 m² = 300 kg/m²

Therefore, the boy exerts a pressure of 300 kg/m² 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 between the boy's feet and the snow.

Assuming the area of contact between the boy's feet and the snow is approximately the same as the area of contact between the skis and the snow, we can use the same area value of 0.15 m².

Since the force exerted by the boy remains the same, the pressure exerted by the boy while standing without skis is also 300 kg/m².

Therefore, the pressure exerted by the boy on the snow is the same whether he is standing on skis or not.

Please note that the calculations assume a uniform distribution of weight and ideal conditions. In reality, the pressure distribution may vary depending on factors such as the boy's posture and the condition of the snow surface.

I hope this answers your question! Let me know if you need any further clarification.