20 J work is required to stretch a spring through 0.1 m. Find the force constant

20 J work is required to stretch a spring through 0.1 m. Find the force constant of the spring. If the spring is further stretched through 0.1 m, calculate the work done.

Posted by: - Joe
Posting Time: - 7/17/2015 1:18:30 AM
Subject: - Physics

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Best 5 Answers:-

Answer by:- Mercy

Given, the work required to stretch the spring through 0.1m = 20 J.
Work done, W1 = F * x = (1/2 * kx) * x =1/2*kx^2 = 0.5*k*0.01 = 20 J
Therefore, k = 20/0.005 = 4000N/m
When the spring is further stretched through 0.1 m that is, y = 0.2
Work done, W2 = ½*(y^2 - x^2)
=0.5*4000(0.2^2 - 0.1^2)
= 0.5*4000*(0.04-0.01)
= 60 J.

 
   

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