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Question: Natural length of the spring is 40 cm and its spring constant is 4000 N m–1. A mass of 20 kg is hung...

Natural length of the spring is 40 cm and its spring constant is 4000 N m–1. A mass of 20 kg is hung from it. The extension produced in the spring is (Given g = 9.8 m s–2)

A

4.9 cm

B

0.49 cm

C

9.4 cm

D

0.94 cm

Answer

4.9 cm

Explanation

Solution

In equilibrium, kx = mg

x=mgk=20×9.84000\therefore x = \frac{mg}{k} = \frac{20 \times 9.8}{4000}

=0.049m=4.9cm= 0.049m = 4.9cm