Question

Стакан, заполненный до краёв водой, имеет массу m= 450 г. Какой станет его масса если в него опустить железный цилиндр массой 156 г? Форма поверхности воды в обоих случаях одинакова. Помогите пожалуйста)

Answer 1

Calculation of the Mass of the Water and Iron Cylinder

To calculate the mass of the water and iron cylinder, we need to consider the principle of conservation of mass. The total mass before and after the iron cylinder is submerged in the water should remain the same.

Let's denote the mass of the water as m_water and the mass of the iron cylinder as m_iron.

Given: - Mass of the water-filled cup (before adding the iron cylinder): m = 450 g - Mass of the iron cylinder: m_iron = 156 g

To find the mass of the water, we can subtract the mass of the iron cylinder from the total mass of the cup:

m_water = m - m_iron

Substituting the given values:

m_water = 450 g - 156 g

Calculating the mass of the water:

m_water = 294 g

Therefore, the mass of the water in the cup is 294 g.

Calculation of the Total Mass of the Cup and Water with the Iron Cylinder

To find the total mass of the cup and water with the iron cylinder, we need to add the mass of the iron cylinder to the mass of the water:

Total mass = m_water + m_iron

Substituting the values:

Total mass = 294 g + 156 g

Calculating the total mass:

Total mass = 450 g

Therefore, the total mass of the cup and water with the iron cylinder is 450 g.

Conclusion

The mass of the cup filled with water is 450 g. When an iron cylinder with a mass of 156 g is submerged in the water, the total mass of the cup and water with the iron cylinder remains 450 g. The shape of the water surface remains the same in both cases.

Please note that the calculations provided are based on the given information and the assumption that there are no other factors affecting the mass or volume of the cup and water.