A \(50\ \mathrm{N}\) force is applied to the free end of a spiral spring of force constant, \(100\ \mathrm{N\,m^{-1}}\). Calculate the work done by the forc...

Assessment: WAEC SSCE - Physics - 2022 (Essay) Subject: Physics

Question 1 Report

A \(50\ \mathrm{N}\) force is applied to the free end of a spiral spring of force constant, \(100\ \mathrm{N\,m^{-1}}\). Calculate the work done by the force to stretch the spring.

Answer Details

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

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