A spiral spring extends from length 10.01m to 10.00cm when a force of 20N is applied on it. Calculate the constant force
To calculate the constant force applied to the spiral spring, we can use Hooke's Law, which states that the force applied on a spring is directly proportional to the displacement of the spring from its equilibrium position.
Hooke's Law can be represented as:
F = k * x
Where:
F is the force applied on the spring (in this case, 20N),
k is the spring constant (which we need to find),
x is the displacement of the spring (which is the difference in length between the extended and compressed positions).
In this scenario, we have the following values:
Force (F) = 20N
Displacement (x) = 10.01m - 10.00cm = 10.01m - 0.10m = 9.91m
Now, we can rearrange the formula to solve for the spring constant (k):
k = F / x
Substituting the values, we get:
k = 20N / 9.91m
Now, we can calculate the constant force by multiplying the spring constant (k) by the displacement (x) between the original and extended positions of the spring:
Constant Force = k * x
Plugging in the values, we get:
Constant Force = (20N / 9.91m) * 9.91m
Constant Force = 20N
Therefore, the constant force applied to the spiral spring is 20N.