elastic springs and strings

Question 1

what is Hooke’s law? (in words)

Answer 1

when an elastic spring or string is stretched, the tension in the string is proportional to the extention.

Question 2

what is the equation for Hooke’s law?

Answer 2

T = (λx)/(l)
where T = tension, λ = modulus of elasticity, x = extension, l = original length

Question 3

how could you find the energy in stretching a string from length l to length l+x from a force extension graph?

Answer 3

is the area under the graph

Question 4

what is the equation for work done in stretching a string/spring from l to l+x?

Answer 4

W = (λx^2)/(2l)

Question 5

how do these equations apply to compressing a string/spring instead of extending?

Answer 5

spring - equations are the same
string - cannot be compressed