Question

В банку с вертикальными стенками Насыпали соль до высоты 20см . После утрамбовки уровень соли понизился на 2см. Во сколько раз при этом изменилась плотность соли?

Answer 1

Пусть площадь основания банки будет S. Тогда p1 = m/V1 = m/(S*0,2).
p2 = m/V2 = m/(S*0,18).
p2/p1 = (m/V2)/(m/V1) = V1/V2 = (S*0,2)/(S*0,18) = 20/18 = 10/9.
Ответ. Плотность увеличилась в (10/9) раз.

Answer 2

Calculation of Density Change

To calculate the change in density of the salt, we need to determine the initial and final volumes of the salt and the mass of the salt.

Given: - The salt is poured into a bank with vertical walls. - The initial height of the salt is 20 cm. - After compaction, the level of the salt decreases by 2 cm.

To find the change in density, we need to compare the initial and final volumes of the salt.

Calculation Steps:

1. Calculate the initial volume of the salt: - The initial volume can be calculated by multiplying the base area of the bank by the initial height of the salt. - Since the bank has vertical walls, the base area remains constant. - Let's assume the base area of the bank is A. - The initial volume of the salt is given by V_initial = A * initial height.

2. Calculate the final volume of the salt: - The final volume can be calculated by multiplying the base area of the bank by the final height of the salt. - Let's assume the final height of the salt is h_final. - The final volume of the salt is given by V_final = A * h_final.

3. Calculate the change in volume: - The change in volume is given by the difference between the initial and final volumes. - Change in volume = V_initial - V_final.

4. Calculate the change in density: - The density of a substance is given by the mass divided by the volume. - Since the mass of the salt is not given, we cannot directly calculate the change in density without additional information.

Please provide the mass of the salt in order to calculate the change in density.