Question

A spring has a natural length of 22 cm. If a 28-N force is required to keep it stretched to a length of 40 cm, how much work w is required to stretch it from 22 cm to 31 cm2 (Round your answer to two decimal places.) W =

Answer 1

In this question first we calculate the spring constant from the given condition. Then we have find the work done using integration. Hope you understand the solution.

ce solution) Given natural length of spring it 22cm 28 N force is required to keep it stretched to a tength of 40cm we need to find w work required to stretch i t from 22cm to 31cm We know spring force is given by F = kx where k= spring constant

F=kDx Dx= 40-22 = 18 cm Dx = 0.18m k= 28 - = 155.55 N 0.18 Ke 155.55 N m. work done Now we need to streetch 22 to find to 31cm

Work is given by on W I F da our limit will - become and x = 0.09 = 0.31-0.22 ?, = 0 0.09 W = kx dx 0.09 WE * [*] WE 155.55x10.09) = 0.6299 W = 0.63J
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