A spring with a force constant of 1625 N/m is compressed 12.1 cm. Find the work done by the force compressing the spring.
work done=PE in spring= 1/2 k x^2
F = 1625N/m * 0.121m = 196.6 N.
Work = F * d = 196.6 * 0.121 = 23.8 Joules.
To find the work done by the force compressing the spring, we can use the formula:
Work = 1/2 * k * x^2
Where:
- Work is the work done by the force compressing the spring (in joules)
- k is the force constant of the spring (in N/m)
- x is the displacement of the spring (in meters)
First, let's convert the displacement from centimeters to meters:
12.1 cm = 12.1 / 100 = 0.121 meters
Now we can substitute the values into the formula:
Work = 1/2 * 1625 * (0.121)^2
Calculating this, we have:
Work = 1/2 * 1625 * 0.014641
Work ≈ 1/2 * 1625 * 0.014641 ≈ 11.97 Joules
Therefore, the work done by the force compressing the spring is approximately 11.97 Joules.