Question

Определите давление на снег мальчика массой 48 кг стоящего на лыжах Ширина лыжи 10 см длина 160 см

Answer 1

P = F/S; S = a*b = 0.1*1.6 = 0.16 ; 0.16*2 = 0.32м^2; F = mg = 48*10 = 480H

P = 480/0.32 = 1500 = 1.5кПа.

Answer 2

Calculation of Pressure on Snow

To calculate the pressure exerted by a boy with a mass of 48 kg standing on skis, we need to divide the force exerted by the area of contact between the skis and the snow.

The formula to calculate pressure is:

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

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

Force (F) = mass (m) * acceleration due to gravity (g)

The acceleration due to gravity is approximately 9.8 m/s^2.

Given that the mass of the boy is 48 kg, the force exerted by the boy can be calculated as follows:

Force (F) = 48 kg * 9.8 m/s^2

Now, we need to calculate the area of contact between the skis and the snow. The width of the ski is given as 10 cm and the length of the ski is given as 160 cm. To calculate the area, we multiply the width by the length:

Area (A) = width * length

Converting the width and length to meters:

Width = 10 cm = 0.1 m

Length = 160 cm = 1.6 m

Now, we can calculate the area:

Area (A) = 0.1 m * 1.6 m

Finally, we can calculate the pressure:

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

Let's calculate the pressure using the given values:

Force (F) = 48 kg * 9.8 m/s^2 = 470.4 N

Area (A) = 0.1 m * 1.6 m = 0.16 m^2

Pressure (P) = 470.4 N / 0.16 m^2

Therefore, the pressure exerted by the boy standing on skis is approximately 2937.5 Pa.

Please note that this calculation assumes that the weight of the boy is evenly distributed across the area of contact between the skis and the snow. In reality, the pressure distribution may vary depending on factors such as the boy's posture and the condition of the snow.