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

P=F/S
p=mg/S
p=45*10/(1.5*0.1)*2)=1 500 Па
Чтобы сравнить давление мальчика без лыж , мы должны знать площадь ступней ног, а  так F=P=mg=45*10=450 Н-вес тела или сила тяжести

Answer 2

Calculation of Pressure

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

Pressure = Force / Area

In this case, the force is the weight of the boy, and the area is the area of contact between the skis and the snow.

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

To find the force, we can use the formula:

Force = Mass x Acceleration due to gravity

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

Let's calculate the force first:

Force = 45 kg x 9.8 m/s^2

Now, let's calculate the area of contact between the skis and the snow:

Area = Length of ski x Width of ski

Substituting the given values:

Area = 1.5 m x 0.1 m

Finally, we can calculate the pressure:

Pressure = Force / Area

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

Calculation:

Force = 45 kg x 9.8 m/s^2 = 441 N

Area = 1.5 m x 0.1 m = 0.15 m^2

Pressure = 441 N / 0.15 m^2

Using a calculator, we find that the pressure exerted by the boy on the snow while standing on skis is approximately 2940 Pa.

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 to be smaller than the area of contact between the skis and the snow. Therefore, the pressure exerted while standing without skis is likely to be higher than the pressure exerted while standing on skis.

However, without specific measurements or assumptions about the area of contact while standing without skis, it is not possible to provide an exact comparison.

Please note that the calculations provided are based on the given information and assumptions. The actual pressure exerted may vary depending on various factors such as the condition of the snow, the distribution of weight, and the specific design of the skis.