Question

Продольные размеры тела при движении уменьшились в 4.6 раза. Во сколько раз изменилась масса тела?

Answer 1

По закону сохранения массы масса не изменилась(если тело сжималось)

Если тело срезали по кусочкам какие нибудь лезвия(маловероятный вариант), а плотность оставалась прежней, о конечная масса равна M=pv=p*v/4.6=> масса уменьшится в 4.6 раза

Answer 2

Calculation of Change in Body Mass

To calculate the change in body mass when the longitudinal dimensions of the body decrease by 4.6 times, we can use the concept of volume conservation. When the body's longitudinal dimensions decrease by 4.6 times, the volume of the body decreases by the cube of this factor.

The change in volume can be calculated using the formula: \[ \text{Change in Volume} = (\text{Change in Length})^3 \]

In this case, the change in length is 4.6, so: \[ \text{Change in Volume} = (4.6)^3 \]

Let's calculate the change in volume.

Calculation

The change in volume when the longitudinal dimensions of the body decrease by 4.6 times is: \[ \text{Change in Volume} = (4.6)^3 = 97.336 \]

This means that the volume of the body decreases by approximately 97.336 times.

Now, to find the change in mass, we can use the relationship between volume and mass. Assuming the density of the body remains constant, the change in mass is directly proportional to the change in volume.

Therefore, the change in mass is also approximately 97.336 times.

So, when the longitudinal dimensions of the body decrease by 4.6 times, the mass of the body also decreases by approximately 97.336 times.

Conclusion

When the longitudinal dimensions of the body decrease by 4.6 times, the mass of the body decreases by approximately 97.336 times.