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The work done in extending a spring by 40 mm is 1.52J. Ca...

The work done in extending a spring by 40 mm is 1.52J. Calculate the elastic constant of the spring.

A.

38.8 Nm-1

B.

60.8 Nm-1

C.

190.0 Nm-1

D.

1900.0 Nm-1

E.

3800.0 Nm-1

Correct answer is D

Force = Elastic constant x extension

Work done = 12K×e2

Given Work done = 1.52J; Elastic constant (k) = ?; e = 40mm = 0.04 m

3.04 = k \times 1.6 \times 10^{-3}

k = \frac{3.04}{1.6} \times 10^3

= 1.9 x 10^3

= 1900 Nm^{-1}