| Mass (kg) Force on Spring (N) Amount of Stretch (m) | 0.500 4.900 0.0199 |
|---|
Does mass impact spring constant?
Since the mass factors into both the cause of changing motion and the resistance to changing motion, it cancels out. For a mass-spring system, the mass still affects the inertia, but it does not cause the force.
The spring (and its spring constant) is fully responsible for force
.
That is because the spring constant and
the length of the spring are inversely proportional
. That means that the original mass of (normalsize 30) gm will only yield a stretch of (normalsize 1) mm on the shorter spring. The larger the spring constant, the smaller the extension that a given force creates.
What is the relationship between force and spring constant?
The magnitude of the force required to change the length of a spring-like object is
directly proportional to the spring constant
and the displacement of the spring. Elastic potential energy is directly proportional to the square of the change in length and the spring constant.
How does mass affect spring potential energy?
The potential energy of the spring is at a maximum since the spring is stretched at its maximum extension. … So, while the mass moves up and down energy changes forms between
potential
energy due to the spring, potential energy due to gravity, and kinetic energy.
What happens if the spring constant increases?
A stronger spring-with a larger value of k-will move the same mass more quickly for a smaller period. As the spring constant k increases,
the period decreases
. … For a given mass, that means a greater acceleration so the mass will move faster and, therefore, complete its motion quicker or in a shorter period.
What is spring constant measured in?
spring constant (k) is measured in
newtons per metre (N/m)
extension (e), or increase in length, is measured in metres (m)
Does the spring constant change?
The proportional constant k is called the spring constant. … 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.
What is spring constant in Hooke’s Law?
The spring constant is
a number that represents how much force it takes to stretch a material — materials with larger spring constants are stiffer
. Hooke’s Law tells us how this spring constant relates to the force we need to apply to stretch the object.
What is a normal spring constant value?
The normal spring constant value is
a measure of how much force has to be applied to cause a deflection of unit length at the free end of the
cantilever.
What factors affect spring constant?
- Wire diameter: the diameter of the wire comprising the spring.
- Coil diameter: the diameter of each coil, measuring the tightness of the coil.
- Free length: the length of the spring when at rest.
What eventually happens to the mass and spring?
When a mass is hung vertically from a spring, the spring stretches. The force on the mass due to the spring is proportional to the amount the spring is stretched. …
The restoring force results in
the mass eventually returning to the equilibrium position.
How do you find the potential energy of a spring in a mass?
(a) When the
mass is at the position x=+A
, all the energy is stored as potential energy in the spring U=12kA2 U = 1 2 k A 2 . The kinetic energy is equal to zero because the velocity of the mass is zero.
What is the formula for potential energy of spring?
| P.E. The potential energy of a spring | k Spring constant | x Spring displacement |
|---|
