Calculus II Problem: Find the natural length of a heavy metal spring, given that...

[yb1996]

Find the natural length of a heavy metal spring, given that the work done in stretching it from a length of 2ft to 3ft is one half the work done in stretching it from 3ft to 4ft.

 

[Deleted member 4993]

Find the natural length of a heavy metal spring, given that the work done in stretching it from a length of 2ft to 3ft is one half the work done in stretching it from 3ft to 4ft.

Assume:

the original length = h

the spring constant = k

The energy stored in the spring when it is 2' long = 1/2 * k * (2-h)^2

continue....