Question

​Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 2525 pounds stretches a certain spring 6 inches comma 6 inches, then how much will a force of 75 pounds 75 pounds stretch the​ spring?

Answer 1

The force will stretch the spring a distance of 18 inches

Explanation:

Please see the attached file for explanation

Answer 2

18 inches

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