The spring constant for the spring is 20 N / M. Calculate the work done in stretching the spring until the extension of the spring is 0.050m.
work = 1/2 k x^2
To calculate the work done in stretching the spring, you can use the formula:
Work = (1/2) * k * x^2
Where:
- Work is the work done on the spring, measured in Joules (J)
- k is the spring constant, measured in Newton per meter (N/m)
- x is the extension of the spring, measured in meters (m)
In this case, you want to calculate the work done when the extension of the spring is 0.050m. The spring constant is given as 20 N/m.
Using the formula, we have:
Work = (1/2) * 20 N/m * (0.050m)^2
First, square the extension:
Work = (1/2) * 20 N/m * (0.0025m^2)
Next, multiply the spring constant by the squared extension:
Work = 0.5 * 20 N/m * 0.0025m^2
Finally, calculate the result:
Work = 0.5 * 20 N/m * 0.0025m^2 = 0.025 J
Therefore, the work done in stretching the spring until the extension reaches 0.050m is 0.025 Joules.