Final answer:
To stretch an ideal spring 7.00 cm from its unstretched length, the work done is calculated using the equation: Work = (1/2) * k * x^2, where k is the spring constant and x is the displacement.
Step-by-step explanation:
To calculate the work done to stretch an ideal spring, we can use the equation:
Work = (1/2) * k * x^2
where k is the spring constant and x is the displacement from the unstretched length.
In this case, the spring is stretched 7.00 cm, so x = 7.00 cm = 0.07 m. To find the work, we need to know the value of the spring constant k.
We can use the information given in Example 7.5 to calculate the spring constant:
k = Work / (1/2 * x^2)
0.54 J / (1/2 * 0.06 m^2) = 18 N/m
Now we can calculate the work:
Work = (1/2) * k * x^2
Work = (1/2) * 18 N/m * (0.07 m)^2
Work = 0.0366 J