Question

Стальная пружина под действием силы 24 Н удлинилась на 3мм. Определите жесткость пружины.

Answer 1

По закону Гука
F=k*x
найдем k= F/x=24/0,003=8000H/м

Answer 2

Calculation of the Spring Constant

To determine the spring constant (also known as the stiffness or force constant) of a spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.

Hooke's Law can be expressed as:

F = k * x

Where: - F is the force applied to the spring (in Newtons, N) - k is the spring constant (in Newtons per meter, N/m) - x is the displacement of the spring from its equilibrium position (in meters, m)

In this case, we are given that a steel spring elongates by 3 mm (0.003 m) under a force of 24 N. We can use this information to calculate the spring constant.

F = 24 N x = 0.003 m

Using Hooke's Law, we can rearrange the equation to solve for the spring constant:

k = F / x

Substituting the given values:

k = 24 N / 0.003 m

Calculating the spring constant:

k = 8000 N/m

Therefore, the spring constant of the steel spring is 8000 N/m.