A stretched spring with k=21.6 N/m is pulling with a force of 1.5 N. How much work was done to stretch the spring
To determine how much work was done to stretch a spring, we can use the formula:
Work = (0.5) * k * x^2
where:
k is the spring constant in N/m,
x is the displacement of the spring in meters.
In this case, the spring constant (k) is given as 21.6 N/m, and the pulling force is 1.5 N. To find the displacement (x), we can rearrange Hooke's Law, which states that the force applied on a spring is proportional to its displacement: F = k * x.
Rearranging the formula for x:
x = F / k
Substituting the given values:
x = 1.5 N / 21.6 N/m
x ≈ 0.0694 m
Now, we can calculate the work done using the displacement we found:
Work = (0.5) * k * x^2
Work = (0.5) * 21.6 N/m * (0.0694 m)^2
Work ≈ 0.0465 J
Therefore, approximately 0.0465 Joules of work were done to stretch the spring.