A 50 N force is applied to the free end of a spiral spring of force constant, 100 N m\(^{-1}\). Calculate the work done by the force to stretch the spring.
Verified Correct Answer: .
Physical Principles & Numerical Solution
Calculation of workdone by the force to scratch the string
W = ½ ke\(^{2}\) = \(\frac{f^{2}}{2k}\)
W = \(\frac{50^{2}}{2 \times 100}\)
W = 12.5 J
OR
e = \(\frac{F}{K} = \frac{50}{100}\) = 0.5m
w = ½ = ke\(^{2}\)
w = ½ x 100 x 0.5\(^{2}\)
W = 12.5 J
Source: Myschool Past Questions Archive (Record #63450)