Question

Под действием силы 4 Н пружина растянулась на 0.2 дм. какова жесткость пружины

Answer 1

F=k|x| =>
K=F/|x|
K=4/0.2=20

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, 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)

Given that the force applied to the spring is 4 N and the displacement is 0.2 dm (which is 0.2/10 = 0.02 m), we can rearrange the formula to solve for the spring constant:

k = F / x

Substituting the given values: k = 4 N / 0.02 m

Calculation

k = 200 N/m

So, the spring constant of the spring under a force of 4 N and a displacement of 0.2 dm is 200 N/m.