Question

Найдите жесткость пружины которая под действием силы 10 Ньютонов меняется на 10 сантиметров

Answer 1

Дано:
F = 10 Н
s = 10 см = 0.1 м
Найти:
k - ?
Решение:
k = F/s;
k = 10 Н / 0.1 м = 100 Н/м
Ответ: 100 Н/м

Answer 2

Calculating the Spring Constant

To calculate the spring constant, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the amount it is stretched or compressed. The formula for Hooke's Law is:

F = -kx

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

Given that the force applied is 10 Newtons and the displacement is 10 centimeters (which is 0.1 meters), we can rearrange the formula to solve for the spring constant:

k = -F / x

Plugging in the values: k = -10 N / 0.1 m

Calculation

k = -10 N / 0.1 m = -100 N/m

So, the spring constant k, when a force of 10 Newtons changes the length of the spring by 10 centimeters, is 100 N/m.