Answer:
18 inches
Step-by-step explanation:
Lets start with the Hooke's law equation i.e
F = d.k
Where,
' F ' is the force we apply
' k' is the spring constant
' d' is the extension of the material
when a force 'f' = 25 pounds stretches a certain spring d= 6 inches,the equation will be
25 = 6 . k
therefore,
k= 4.166
next is to find that how much will a force of 75 pounds stretch the spring.
So,
75= 4.166 d
d= 18 inches.
Thus, a force of 75 pounds will stretch the spring to 18 inches
