Question

Мама режет капусту, нажимая на нож с силой 50 Н. Длина лезвия ножа равна 9 см, толщина режущего края — 0,1 мм. Какое давление оказывает лезвие ножа на капусту? Ответ (округли до сотых): лезвие ножа оказывает на капусту давление p≈....МПа Помогите пожалуйста)

Answer 1

0.1мм=0.01см
S=9см×0.01см=0.09см2
p=F/S p=50H/0.09см2=555555МПа

Answer 2

Calculation of Pressure Exerted by the Knife Blade

To calculate the pressure exerted by the knife blade on the cabbage, we can use the formula:

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

In this case, the force exerted by the knife blade is given as 50 N (Newtons). To find the area of the knife blade, we need to know the length and thickness of the cutting edge.

The length of the knife blade is given as 9 cm, which is equal to 0.09 m. The thickness of the cutting edge is given as 0.1 mm, which is equal to 0.0001 m.

To calculate the area of the knife blade, we multiply the length by the thickness:

Area (A) = Length (L) x Thickness (T)

Substituting the given values:

Area (A) = 0.09 m x 0.0001 m = 0.000009 m²

Now we can calculate the pressure:

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

Substituting the given force and calculated area:

Pressure (p) = 50 N / 0.000009 m²

Calculating the pressure:

Pressure (p) ≈ 5,555,555.56 N/m²

Rounding to two decimal places:

Pressure (p) ≈ 5.56 MPa

Therefore, the pressure exerted by the knife blade on the cabbage is approximately 5.56 MPa.

Please note that the calculation assumes that the force is evenly distributed over the entire area of the knife blade.