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Hooke's law was designed to determine the restoring force of a spring, given its spring constant and the displacement of the spring from its equilibrium position. The law is written as follows: F = -kx; in which "F" is the restoring force, "k" is the spring constant, and "x" is the spring's displacement.
The formula called Hooke's first law says that: "F"(being the restoring force) = "-k"(the spring constant) times "x" (the displacement) the negative is only for notations sake. and yes this means they are proportional, by means of the constant.
The amount the spring is stretched is called the displacement.
F = - k x In this equation, x is the distance that the spring has been stretched or compressed away from its equilibrium position F is the restoring force exerted by the spring. k is the spring constant.
no the spring constant is not constant on moon because there is no restoring force there
The amount the spring is stretched is called the displacement.
Just divide the force by the amount of stretch.
The spring constant is a measure of stiffness - the ability to resist displacement under a load. It is denoted by K where F = kx where f = load force and x = displacement
External force or you can say deformation force causes spring to stretch and restoring force is developed due to introduction of restoring strain in spring to restore in its original shape.
You can find out how long a spring has been stretched/compressed by knowing it's elastic constant and the force the spring is exerting trying to go back to it's original shape. F=K*x (Moore's law) F is the force exerted by the spring. K is the elastic constant. X is the displacement of the end of the spring from it's normal position. You want to find x, x = F/K
F = -kx where F is force, k is spring constant and x is displacement
Mathematically, Hooke's law states that: F = -kx, Where, x is the displacement of the end of the spring from its equilibrium position (in SI units: "m"); F is the restoring force exerted by the material (in SI units: "N" or kgms-2); and k is the force constant (or spring constant) (in SI units: "N·m-1" or "kgs-2").