Question

A string of natural length L extends to a new length L' under tensile force F. If Hooke’S law applies, the work done in stretching the spring is ------------
1/2FL
1/2FL'
1/2 F(L-L')
F(L-L')

Answer 1

Answer on 40288, Physics, Mechanics | Kinematics | Dynamics

Question: A string of natural length L extends to a new length L’ under tensile force F. If HookeS law applies, the work done in stretching the spring is

1/2FL, 1/2FL, 1/2 F(L-L’) or F(L-L’)

Solution. The work is average force multiplied by difference in length, hence, the work will be

$1/2F(L-L^{\prime})$