Question

Определите массу груза, что был снят с кубика, плавающего в воде, если его осадка уменьшилась на 6,7 см, а площадь поверхности куба 60 см в квадрате.Плотность воды 1000 кг/м? Ответ запишите в мм с точностью до целого значения. Помогите пожалуйста срочно!​Даю 28 баллов

Answer 1

Ответ: 402 г

Дано:

S = 0,006 м2

h = 0,067 м

Fa = pgV (сила Архимеда)

Fa = mg (по III закону Ньютона)

m = (pg(S*h)) / g

m = (1000*10*(0,006*0,067)) / 10 = 0,402 кг = 402 г

Answer 2

Calculation of the Mass of the Load Removed from the Floating Cube

To determine the mass of the load that was removed from the floating cube, we need to consider the principles of buoyancy. When an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This buoyant force counteracts the weight of the object, allowing it to float.

In this case, the cube is floating in water, and its submerged volume is equal to the volume of the load that was removed. The submerged volume can be calculated by multiplying the decrease in the cube's draft (osadka) by the surface area of the cube.

Given: - Decrease in draft (osadka) = 6.7 cm - Surface area of the cube = 60 cm²

To calculate the submerged volume, we need to convert the decrease in draft from centimeters to meters: Decrease in draft (osadka) = 6.7 cm = 0.067 m

The submerged volume (V_sub) can be calculated using the formula: V_sub = decrease in draft * surface area

Substituting the given values: V_sub = 0.067 m * 60 cm²

Now, we need to convert the surface area from square centimeters to square meters: Surface area = 60 cm² = 0.006 m²

Substituting the values: V_sub = 0.067 m * 0.006 m²

The submerged volume (V_sub) represents the volume of water displaced by the load that was removed from the cube.

To calculate the mass of the load, we can use the density of water, which is given as 1000 kg/m³.

The mass (m) can be calculated using the formula: m = density * V_sub

Substituting the values: m = 1000 kg/m³ * (0.067 m * 0.006 m²)

Now, we can calculate the mass of the load in kilograms.

Please note that the answer should be provided in millimeters (mm) with an accuracy of the whole value. However, since we are calculating the mass in kilograms, we will need to convert the result to milligrams (mg) to match the requested unit.

Let's perform the calculation: