What is the spring constant of a spring that needs a force of 3 N to be compressed from 40 cm to 35 cm?

F = k Δx = 100 N / m × 0.01 m = 1 N Page 9 Practice Problem #2 What is the spring constant of a spring that needs a force of 3 N to be compressed from 40 cm to 35 cm? The spring changes from a length of 40 cm to 35 cm, hence it compresses 40 cm – 35 cm = 5 cm Δx = 5 cm = 0.05 m.

Is spring force constant?

The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position. The proportional constant k is called the spring constant.

How is spring force a variable force?

A spring force is a variable force because it is a function of x (the position of the free end).

What is the spring force constant?

The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position. F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness.

What is the force constant k of the spring in N m?

N/m
The unit of the force constant k of spring is N/m. It works on the principle of Hooke’s Law for springs. The formula for force in spring is given by Fs = kx, where, Fs=force, k = spring constant and x = displacement. N/m is also the unit of surface tension.

How do you find the force of a spring constant?

F = -kx. The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

How do you find the force required to extend a spring?

According to Hooke’s law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. It can be represented in an equation as F = kx, where F is the force applied, k is the spring constant and x is the extension of the object usually in meters.

What is the spring constant in physics?

In other words, spring constant is the force applied if the displacement in the spring is unity. If a force F is considered that stretches the spring so that it displaces the equilibrium position by x. The Spring Constant Formula is given as,

What is the formula of spring constant in Hooke’s law?

According to Hooke’s law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. The formula of spring constant is given as: Where, F is the restoring force of the spring directed towards the equilibrium. k is the spring constant in N.m -1.

What is the dimension of K in spring constant formula?

Spring Constant Dimensional Formula. We know that, F=-kx. Therefore, Dimension of F= [MLT -2 ] Dimension of x= [L] Therefore, dimension of k=. The Spring Constant Formula is given as, where, F = Force applied,