Figure 1 depicts a harmonic oscillator at four distinct points, designated A, B, C, and D. Assume you know the force constant k, the mass of the block, m, and the amplitude of the vibrations, A. We will also assume that there are no resistive forces, thus the oscillator’s total energy stays constant. When asked “which moment?” in parts (d) through (h), you may respond with the letter A, B, C, or D. (a) What is the system’s total energy energy? (b) What is the system’s maximal potential energy? (c) Determine the kinetic energy of the block at the designated B instant. (d) Which instant corresponds to the system’s maximal potential energy? (e) Which instant corresponds to the system’s minimal potential energy? (f) Which instant corresponds to the system’s maximal kinetic energy? (g) Which instant corresponds to the system’s minimal kinetic energy? (h) When does KE = P E occur? Explain in mathematical terms. If you do not explain your logics, you will get 0 marks for section (h).
Answer
The total energv equals -kA. K is the force constant, while A denotes the amplitude. There is no velocity and hence no kinetic energy at A. When the kinetic energy is zero, the potential energy is at its highest. Where the velocity is zero, the kinetic energy is zero, and the velocity is zero at point A.
The total potential energy at point B is, Apply the rule of energy conservation as follows: 322 2 k 3 As a result, the velocity at point B is, As a result, the kinetic energy is, The point of maximal expansion is when the kinetic energy equals zero. At point A, the kinetic energy is zero. The particle’s position at point A corresponds to the system’s maximal potential energy.
You might also be thinking, At what point is the potential energy of the system maximum?
When the total energy of the system equals the potential energy, the potential energy is at its maximum.
Similarly, How do you calculate maximum potential energy?
The force exerted on the two objects determines the potential energy formula. The formula for the gravitational force is P.E. = mgh, where m is the mass in kilograms, g is the gravity acceleration (9.8 m / s2 at the earth’s surface), and h is the height in meters.
At what position the potential energy of an SHM is maximum?
Potential energy is highest at greatest displacement from the equilibrium point, whereas kinetic energy is zero. The potential energy is zero and the kinetic energy is highest at the equilibrium point.
How do you find the maximum potential energy of a spring?
At time t=0.00s, t = 0.00 s, the position of the block equals the amplitude, the potential energy stored in the spring equals U=12kA2 U = 1 2 k A 2, and the force on the block is greatest and points in the negative x-direction (FS=kA) (F S = k A).
What does maximum potential mean?
The maximum designed capacity of a plant to remove water under its physical and operational design is referred to as its maximum potential.
How do you find the maximum kinetic energy of emitted electrons?
KEe = hf BE, where hf is the photon energy and BE is the electron’s binding energy (or work function) to the specific material, gives the maximum kinetic energy KEe of ejected electrons (photoelectrons).
How do you find maximum kinetic energy in physics?
E = h c W, m an x is the maximal kinetic energy of a photoelectron, where h is the Planck constant, c is the speed of light, W is the work function of the metal surface, and m is the wavelength of the incoming photon.
When the potential energy is minimum and maximum?
The slope is zero at an equilibrium point, which is a stable (unstable) equilibrium for a potential energy minimum (maximum).
At which position potential energy becomes maximum and minimum?
At the middle position, potential energy is lowest, while at the extreme position, it is highest. 12th of March 2022
What is the minimum potential energy in SHM?
a) It’s completely kinetic. In S.H.M., the particle’s velocity is highest and displacement is minimal at the mean location, x=0. As a result, P.E. = 1/2 K x2 = 0 and K.E. = 1/2 k (a2–x2) = 1/2 k (a2–o2) = 1/2 ka2.
How do you find the maximum kinetic energy of a spring?
The formula comes from calculus and is (0.5)kx2, where x2 is the square of the initial displacement of the spring’s end. This is the total of kinetic and potential energy at any place. Determine the spring’s maximum kinetic energy, which is equal to the original potential energy, at the equilibrium point. April 24, 2017
What does reaching your maximum potential represent to you?
It’s a voyage of self-liberation from your own constraints as well as those imposed on you by others (sometimes with good intentions). Patience, bravery, self-awareness, and a lot of grit are required to reach your maximum potential. 14th of July, 2021
How do you Utilise the faculties to reach your highest potential?
– The key to unlocking your potential is to recognize it. – The most important thing is commitment. – Start small and work your way up to your full potential. – View setbacks as opportunities for growth. – Have faith in your abilities to achieve your full potential. – There is no shame in asking for help.
How does the maximum kinetic energy of electrons emitted vary with the work function of the metal?
Obviously, the lower the work function W, the higher the E k. The maximal kinetic energy of photoelectrons falls as the work function of a metal rises.
Why do electrons have a maximum kinetic energy?
Why do certain photoelectrons have kinetic energies lower than the maximum kinetic energy in the photoelectric effect? The photon energy minus the workfunction at the surface equals the maximal kinteic energy. The electrons can’t have any more energy than this, but they may lose it in a variety of ways.