Question

На сколько удлинится пружина с жёсткостью 400 Н/м под действием силы 64 Н?

Answer 1

X=F/k=64Н/400Н/м=0.16м
В решении использована формула закона Гука

Answer 2

Calculating Spring Elongation

To calculate the elongation of a spring under the influence of a force, 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)

We can rearrange this formula to solve for the displacement x:

x = F / k

Given: - k = 400 N/m - F = 64 N

We can calculate the elongation of the spring using the formula:

x = 64 N / 400 N/m

Calculation

x = 0.16 m

Therefore, the spring will elongate by 0.16 meters under the influence of a force of 64 N.