Question

На рисунке показаны сдеды кроссовок на снегу. Их оставил школьник массой 4242 кг. Размеры показанной на рисунке площадки - 25 см×18 см25 см×18 см. Считайте, что отпечатки занимают две трети площади площадки. Ускорение свободного падения g=10м/с2g=10м/с2 Оцените, какое давление создает школьник на снег. Дайте ответ в паскалях.

Answer 1

Ответ: 14000 па
2/3 х 25 х 18 = 300 см = 0,03 м
F= 42 х 10= 420 Н
р = 420/0,03 = 14000 Па

Answer 2

Calculating Pressure Exerted by the Student on the Snow

To calculate the pressure exerted by the student on the snow, we can use the formula:

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

Where: - Force (F) is the weight of the student - Area (A) is the area of the footprints

Given: - The mass of the student = 42 kg - The dimensions of the footprint area = 25 cm × 18 cm - The footprints occupy two-thirds of the total area - Acceleration due to gravity (g) = 10 m/s^2

Calculating the Force Exerted by the Student

The force exerted by the student on the snow can be calculated using the formula:

Force (F) = Mass (m) × Acceleration due to gravity (g)

Substituting the given values: - Mass (m) = 42 kg - Acceleration due to gravity (g) = 10 m/s^2

Force (F) = 42 kg × 10 m/s^2 F = 420 N

The force exerted by the student on the snow is 420 Newtons.

Calculating the Area of the Footprints

Given that the footprints occupy two-thirds of the total area, we can calculate the actual area of the footprints:

Total Area = 25 cm × 18 cm Area of Footprints = 2/3 × (25 cm × 18 cm)

Area of Footprints = 2/3 × 450 cm^2 Area of Footprints = 300 cm^2

The area of the footprints is 300 square centimeters.

Calculating the Pressure

Now, we can calculate the pressure exerted by the student on the snow using the formula:

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

Substituting the calculated values: - Force (F) = 420 N - Area (A) = 300 cm^2

Pressure (P) = 420 N / 300 cm^2 P ≈ 1400 Pa

The pressure exerted by the student on the snow is approximately 1400 Pascals.