Question

1Мальчик массой 40 кг оказывает давление на опору. Рассчитайте, какое давление он оказывает, если общая площадь его подошв составляет 300 см 2.Брусок действует на опору с силой 350 Н, при этом он оказывает давление 5,5 кПа. Какова площадь опоры бруска?

Answer 1

Ответ:

1

Дано:

m = 40 кг

S = 300 см в квадрате

_________________

P -- ?

Решение.

p = F/S

F = P

P = gm

P = 9,8 H/кг * 40 кг = 400 H

p = 400/0,03 H/м = 10 000 Па = 10 кПа

Answer 2

Calculation of Pressure Exerted by a Boy

To calculate the pressure exerted by a boy, we need to use the formula:

Pressure = Force / Area

Given that the boy has a mass of 40 kg and exerts pressure on a support, and the total area of his feet is 300 cm², we can calculate the pressure as follows:

1. Convert the mass of the boy from kg to N (Newton) using the formula: Weight = Mass x Gravity. Assuming the acceleration due to gravity is approximately 9.8 m/s², we can calculate the weight of the boy as follows:

Weight = 40 kg x 9.8 m/s²

2. Convert the area of the boy's feet from cm² to m² by dividing it by 10,000 (since 1 m² = 10,000 cm²).

Area = 300 cm² / 10,000

3. Calculate the pressure exerted by the boy using the formula mentioned earlier:

Pressure = Weight / Area

Let's calculate the pressure exerted by the boy:

1. Weight = 40 kg x 9.8 m/s² = 392 N. 2. Area = 300 cm² / 10,000 = 0.03 m². 3. Pressure = 392 N / 0.03 m².

Therefore, the boy exerts a pressure of 13,066.67 Pa (Pascal) on the support.

Calculation of Support Area for a Block

To calculate the area of the support for a block, we need to rearrange the formula for pressure:

Pressure = Force / Area

Given that a block exerts a force of 350 N and exerts a pressure of 5.5 kPa (kiloPascal) on the support, we can calculate the area of the support as follows:

1. Convert the pressure from kPa to Pa by multiplying it by 1,000 (since 1 kPa = 1,000 Pa).

Pressure = 5.5 kPa x 1,000

2. Rearrange the formula for pressure to solve for area:

Area = Force / Pressure

Let's calculate the area of the support for the block:

1. Pressure = 5.5 kPa x 1,000 = 5,500 Pa. 2. Area = 350 N / 5,500 Pa.

Therefore, the area of the support for the block is 0.0636 m².

Please note that the search results provided by You.com did not contain relevant information for this specific calculation. The calculations provided above are based on the formulas and principles of pressure.