Hooke’s law states that ?

Question

Hooke’s law states that the distance a vertical spring stretches varies directly with the weight handing from it. A spring stretches 14 inches when a 35-point weight is hanging from it. How much weight is needed to stretch the spring 44 inches?

110 pounds

65 pounds

17.6 pounds

11.1 pounds

Answer 1

110 pounds.

Hooke's Law States that F= -kx, F being the force applied, k being the spring constant, and x being the distance in meters.

You can convert inches into meters and pounds into newtons and then convert back to pounds at the very end of the problem.

Answer 2

14/44 = 35/x

x = 35 * 44 / 14

Answer 3

F1=k*dx1

F2=k*dx2

so if you divide the two equations:

F1/F2=dx1/dx2

35/x=14/44

x=35*44/14

x=110 pounds