Question

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

Answer 1

P.E. of spring when stretched through a distance 01m,

U = W.D = \(\frac{1}{2}\)Kx² = 20J

K = 4000 N/m

when spring is further stretched through 01m, then P.E. will be :

U' = \(\frac{1}{2}\) K(0.2)² = 80J

∴ W.D = U' -U = 80-20 = 60J.