A load of 46 N attached to a spring that is
hanging vertically stretches the spring 0.23 m.
What is the spring constant?
Answer in units of N/m.
see other post
200
To find the spring constant, 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 exerted by the spring
k is the spring constant
x is the displacement of the spring
In this case, the force acting on the spring is the weight of the load, which is 46 N, and the displacement of the spring is 0.23 m.
We can rearrange the equation to solve for the spring constant:
k = F / x
Substituting the given values:
k = 46 N / 0.23 m
Calculating this:
k ≈ 200 N/m
Therefore, the spring constant is approximately 200 N/m.