What is spring constant measured in?
k is the spring constant, in Newtons per meter (N/m), and x is the displacement of the spring from its equilibrium position. The spring constant, k, is representative of how stiff the spring is. Stiffer (more difficult to stretch) springs have higher spring constants.
What is a large spring constant?
The letter k represents the “spring constant,” a number which essentially tells us how “stiff” a spring is. If you have a large value of k, that means more force is required to stretch it a certain length than you would need to stretch a less stiff spring the same length.
What determines how much total energy something has?
The mass of the object and the speed of the object are variables that determine how much kinetic energy something has.
Why is the period 2pi B?
It means the period is 12, so each cycle is 12 units long. What you say is sort of right: b is the number of cycles per 2pi.
Does spring constant change with mass?
That is because the spring constant and the length of the spring are inversely proportional. That means that the original mass of gm will only yield a stretch of mm on the shorter spring. The larger the spring constant, the smaller the extension that a given force creates.
What will be the maximum kinetic energy?
This value is the maximum possible kinetic energy of the photoelectron. The equation, which Einstein determined, says (electron’s maximum kinetic energy) = (energy of the incident light energy packet) minus (the work function). For the example, the electron’s maximum kinetic energy is: 2.99 eV – 2.75 eV = 0.24 eV.
Can 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.
Why do photoelectrons have different kinetic energies?
The kinetic energy of photoelectrons vary simply because of the fact that (after photoelectric effect has taken place) all the photoelectrons are not emitted instantly. These photoelectrons lose some fraction of their kinetic energy in such collisions before they are emitted out of the metal.
How do you find the amplitude of a spring?
x(t) = A cos(ωt + φ). A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position.
How do you find the maximum compression of a spring?
⇒F=kx , here F is the force applied by a spring having the spring constant k due to an extension x in the spring. Thus the maximum compression of the spring comes out to be equal to mak .
How do you find the maximum potential energy?
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.
What is the maximum potential energy?
At an object’s maximum height, kinetic energy is zero/ maximum while the potential energy is zero/ maximum.
What is the force constant?
In physics, a force constant is another term for a spring constant, as defined by Hooke’s law. It is a proportionality constant, more precisely. The strength constant k is related to a system’s rigidity (or stiffness), the greater the constant of force, the greater the restored force, and the stiffer the system.
What happens to the kinetic energy of photoelectrons when intensity of light is doubled?
The kinetic energy of photoelectrons are independent of the intensity of light. So there will be no change in the maximum kinetic energy even if the intensity of light is doubled.
How do you find the maximum kinetic energy of a pendulum?
The kinetic energy would be KE= ½mv2,where m is the mass of the pendulum, and v is the speed of the pendulum. At its highest point (Point A) the pendulum is momentarily motionless. All of the energy in the pendulum is gravitational potential energy and there is no kinetic energy.
Does spring constant affect amplitude?
The period does not depend on the Amplitude. The period depends on k and the mass. The more amplitude the more distance to cover but the faster it will cover the distance. The distance and speed will cancel each other out, so the period will remain the same.
Does diameter affect spring constant?
Spring constant is a measure of the stiffness of the spring. With an increase in the diameter of the coil of the spring constant decreases. …
Why do photoelectrons have a maximum kinetic energy?
The two factors affecting maximum kinetic energy of photoelectrons are the frequency of the incident radiation and the material on the surface. As shown in the graph below, electron energy increases with frequency in a simple linear manner above the threshold.
What is the maximum kinetic energy of emitted photoelectrons?
What is the maximum kinetic energy of the ejected photoelectrons? Violet light of wavelength 400 nm ejects electrons with a maximum kinetic energy of 0.860 eV from sodium metal.
What does spring constant depend on?
In dealing with a coil spring the spring constant will depend on the stiffness of the spring material, the thickness of the wire from which the spring is wound and, diameter of the turns of the coil, the number of turns per unit length and the overall length of the spring.
How do you find the maximum kinetic energy of a spring?
Identify the spring’s maximum kinetic energy, at the equilibrium point, as equal to the initial potential energy. Calculate the kinetic energy at any other point of displacement, X, by subtracting the potential energy at that point from the initial potential energy: KE = (0.5)kx^2 – (0.5)kX^2.
What happens when spring constant is increased?
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.
Does a compressed spring have kinetic energy?
The kinetic energy of the spring is equal to its elastic potential energy, i.e. 1/2mv^2 = 1/2kx^2 when the spring is stretched some distance x from the equilibrium point and when its mass also has some velocity, v, with which it is moving. Therefore, at this point, the total energy = kinetic energy.
Where does a pendulum have maximum potential energy and kinetic energy?
The potential energy of an oscillating pendulum is maximum at its extreme positions. In this position the pendulum bob has zero velocity. Hence, all its total energy at this position is the potential energy. The kinetic position of the pendulum is maximum at the mean position.
What is a typical spring constant?
Springs have their own natural “spring constants” that define how stiff they are. The letter k is used for the spring constant, and it has the units N/m. The spring constant of this spring is 30 000 N/m. 2) A 3500 N force is applied to a spring that has a spring constant of k = 14 000 N/m.
What does the spring constant tell you?
The spring constant shows how much force is needed to compress or extend a spring (or a piece of elastic material) by a given distance.
What is the period T?
A period T is the time required for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships and can be expressed mathematically as: Period equals the Total time divided by the Number of cycles.