Question

Мальчик массой 45 кг стоит на лыжах. Длина каждой лыжи 1,5 м, ширина 10 см. Какое давление оказывает мальчик на снег? Сравните полученный результат с давлением, которое производит мальчик, стоящий без лыж. Площадь подошв его ботинок равна 250 см квадратных.

Answer 1

Ответ: 12

Объяснение:

Дано:

m=45кг

L=1,5м

а=10см=0,1м

S2=250см²

==========

Р2/Р1-?

Р=Fт/S

Р1=Fт/S1=mg/(L*a*2)=45*10/(1,5*0,1*2)=1500Па=1,5кПа

Р2=Fт/S2=mg/S2=45*10/0,025=18000Па=18кПа

Р2/Р1=18/1,5=12

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:

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/s^2, we can calculate the weight:

Weight = 45 kg * 9.8 m/s^2

Now, let's calculate the area of the contact surface between the skis and the snow. The length of each ski is 1.5 m, and the width is 10 cm (or 0.1 m). Therefore, the area of each ski is:

Area of each ski = Length * Width = 1.5 m * 0.1 m

Since the boy is standing on two skis, the total area of contact with the snow is twice the area of one ski:

Total area = 2 * Area of each ski

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

Pressure = Weight / Total area

Let's plug in the values and calculate the pressure.