A force of 0.65 N is required to hold a spring extended 5.3 cm from its equilibrium position. Calculate the spring of constant of spring?
k = 0.65N./0.053m = 12.3 N/m.
To calculate the spring constant (k) of a spring, you can use the formula:
k = F / x
Where:
k is the spring constant (in N/m),
F is the force applied (in N),
x is the displacement from the equilibrium position (in m).
Given:
F = 0.65 N
x = 5.3 cm = 0.053 m
Substituting the values into the formula:
k = 0.65 N / 0.053 m
k = 12.26 N/m
Therefore, the spring constant of the spring is 12.26 N/m.
To calculate the spring constant (k), you need to use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The formula for Hooke's Law is:
F = -kx
Where:
F is the force applied to the spring,
k is the spring constant, and
x is the displacement from the equilibrium position.
In this case, you have the force (F = 0.65 N) and the displacement (x = 5.3 cm = 0.053 m), but the negative sign (-) indicates that the force and displacement are in opposite directions. Therefore, we can rewrite the formula as:
F = kx
Now, you can rearrange the formula to solve for the spring constant (k):
k = F / x
Substituting the given values:
k = 0.65 N / 0.053 m
Calculating the spring constant:
k ≈ 12.26 N/m
Therefore, the spring constant of the spring is approximately 12.26 N/m.