helpme please: A spring of 3 fts requires a force of 10 pounds to stretch it to a length of 3.5 fts a) Find the work required to stretch the spring from its natural length to a length of 5 fts?
A spring of 3 fts requires a force of 10 pounds to stretch it to a length of 3.5 fts
a) Find the work required to stretch the spring from its natural length to a length of 5 fts
b) Find the work required to stretch the spring from 4 to 5 fts
c) As soon as you increase the natural length by applying a force of 30 lbs.
A spring of 3 fts requires a force of 10 pounds to stretch it to a length of 3.5 fts
a) Find the work required to stretch the spring from its natural length to a length of 5 fts
b) Find the work required to stretch the spring from 4 to 5 fts
c) As soon as you increase the natural length by applying a force of 30 lbs.
1 Answer
Explanation:
In answering this question I have looked it up and I quote from a book by S.G. Page [Mathematics, a second start] and will reference it in quotation marks where it is directly quoted.
"Hooke's law states that the tension in a an elastic spring or string is proportional to the extension"
" That is;
"Now the work done in stretching the spring a small distance
" Therefore total work done=
So after integrating total work done =
which equals,
Young's modulus of elasticity is a constant for any given material and in this case there is enough information to calculate it directly, since we are given a force of
So from his ,
Hope this was helpful and not too confusing.