Question

Как определить, у какой из двух пружин жесткость больше и во сколько раз, используя только линейку?

Answer 1

Чем больше меняется длина при растяжении с одинаковой силой, тем меньше жесткость. 

Answer 2

Determining the Stiffness of Two Springs Using Only a Ruler

To determine which of two springs is stiffer and by how much, you can use the ruler to measure the length of each spring when a known force is applied. The stiffness of a spring is typically measured by its spring constant, denoted as k. The higher the spring constant, the stiffer the spring.

First, let's denote the spring constants of the two springs as k1 and k2. Then, we can measure the lengths of the two springs when a known force is applied. Let's assume the lengths of the springs under this force are denoted as l1 and l2.

Using Hooke's Law, which states that the force exerted by a spring is directly proportional to its extension, we can calculate the spring constants k1 and k2 using the formula:

k = F / x

Where: - k is the spring constant - F is the force applied - x is the extension of the spring

By measuring the lengths of the two springs under the same force, we can then compare their spring constants to determine which spring is stiffer and by how much.

The formula for comparing the stiffness of the two springs is:

k = F / x

Where: - k is the spring constant - F is the force applied - x is the extension of the spring

We can calculate the ratio of the spring constants as follows:

k = k2 / k1

This will give us the ratio by which one spring is stiffer than the other.

Conclusion

By measuring the lengths of the two springs under a known force and using the above formulas, you can determine which of the two springs is stiffer and by how much, using only a ruler.