Hookes law states that the force F is a spring extended by a length X is given by f= - kx according to Newton second law F= ma where m is the mass
Hooke's Law states that the amount a spring is extended or compressed (displacement) is directly proportional to the force applied on it. Mathematically, it can be expressed as "F = -kx", where "F" is the force applied on the spring, "k" is the spring constant, and "x" is the displacement of the spring from its equilibrium position.
Newton's Second Law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, it can be expressed as "F = ma", where "F" is the force, "m" is the mass of the object, and "a" is the acceleration.
To understand the relationship between Hooke's Law and Newton's Second Law, let's consider a mass attached to a spring. When the mass is displaced from its equilibrium position, it exerts a force on the spring according to Hooke's Law. This force causes the spring to accelerate the mass in the opposite direction, according to Newton's Second Law.
To determine the force acting on the mass using Hooke's Law, you need to know the spring constant "k" and the displacement "x". Once you have these values, you can simply multiply them together: "F = -kx".
On the other hand, if you know the mass of the object and its acceleration, you can use Newton's Second Law to calculate the force acting on the object: "F = ma".
It's important to note that Hooke's Law is specifically applicable to systems involving springs, while Newton's Second Law applies to all objects.