Question

Длина не растянутой пружины 3 см. Под действием силы 10 ньютонов пружина удлинилась на 1 см. Какова будет длина этой пружины при нагрузке 25 ньютонов

Answer 1

Сантиметры переводим в метры и считаем по закону Гука

Answer 2

Calculation of the Length of the Spring

To calculate the length of the spring under a different load, we can use Hooke's Law, which states that the force exerted on a spring is directly proportional to the displacement of the spring from its equilibrium position.

Given: - Length of the spring when not stretched (equilibrium position): 3 cm - Force applied to stretch the spring by 1 cm: 10 N

We can use the formula F = kx, where F is the force applied, k is the spring constant, and x is the displacement of the spring.

To find the spring constant, we can rearrange the formula as k = F / x.

Using the given values, we have: k = 10 N / 1 cm = 10 N/cm

Now, we can use the spring constant to find the length of the spring under a different load.

Given: - Force applied: 25 N

Using the formula F = kx, we can rearrange it as x = F / k.

Substituting the values, we have: x = 25 N / 10 N/cm = 2.5 cm

To find the total length of the spring, we add the displacement to the equilibrium position: Length of the spring = 3 cm + 2.5 cm = 5.5 cm.

Therefore, the length of the spring under a load of 25 N will be 5.5 cm.