The task asks to determine the magnitude of the deformation of the springs. The answer should be in cm and rounded to the nearest whole number.

Graph Analysis:

• The graph shows the relationship between Force (F, H) and Deformation (k, mN/cm).
• The vertical axis (F) represents Force in Newtons (H). The markings are 0, 4, 8. The interval between markings is 4 N.
• The horizontal axis (k) represents the spring stiffness in mN/cm. The markings are 0, 200, 400.
• The problem states that the deformation was always the same for different springs when measuring the force that caused this deformation. The graph, however, plots Force (F) on the Y-axis and stiffness (k) on the X-axis. This seems to be a plot of Hooke's Law, F = -kx, where x is the deformation, and k is the spring constant (stiffness).
• The question asks for the "magnitude of the deformation" (величину деформации).
• The text of the problem states "деформация всегда была одинаковой" (the deformation was always the same). However, the graph does not directly show deformation on an axis. The horizontal axis is labeled "k, мН/см", which is the spring constant (stiffness), not deformation. The vertical axis is Force (F, H).
• There might be a misunderstanding in the problem statement or the graph labeling. If we assume the horizontal axis IS deformation, then the units are incorrect (mN/cm instead of cm or m). If we assume the horizontal axis is stiffness (k), then we need to find the deformation (x) using Hooke's Law: F = kx, so x = F/k. However, the graph shows F vs k, not F vs x.
• Let's re-read the problem carefully: "Для каждой пружины измеряли силу, которая приводила к такой деформации. На основании результатов измерений построили график (см. рисунок). Определите величину деформации пружин." (For each spring, the force that led to such deformation was measured. Based on the measurement results, a graph was constructed (see figure). Determine the magnitude of the deformation of the springs.)
• The graph appears to be plotting Force (F) against Spring Constant (k) for a fixed deformation. If the deformation (x) is constant, then F = kx, so F is directly proportional to k. This matches the linear trend seen in the graph.
• We need to determine the *magnitude of the deformation*. Since the problem states "деформация всегда была одинаковой" (deformation was always the same), we need to find this constant deformation value (x).
• Let's pick a point from the graph, for example, where F = 4 N. The corresponding k value is approximately 200 mN/cm.
• Using Hooke's Law, F = kx. We need to ensure consistent units. Let's convert k to N/cm: 200 mN/cm = 0.2 N/cm.
• So, 4 N = (0.2 N/cm) * x.
• Solving for x: x = 4 N / 0.2 N/cm = 20 cm.
• Let's check another point. If F = 8 N, then k is approximately 400 mN/cm = 0.4 N/cm.
• x = F/k = 8 N / 0.4 N/cm = 20 cm.
• The deformation is consistently 20 cm.

Ответ: 20