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When is a pendulum at rest?
A pendulum is at rest when it is not swinging, at the lowest point of its swing. This is known as the equilibrium position where the potential energy is at its minimum and the kinetic energy is at zero.
Show that cohesive energy is minimum at equilibrium separation?
We have Lennard-Jones Potential given by, U=4epsilon[{(sigma/R)^12}- {(sigma/R)^6}] At equilibrium, dU/dR=0 if U is minimum. Solving, we get U=-epsilon which is indeed the bottom of the potential well.
What does the potential energy vs distance graph reveal about the relationship between potential energy and distance?
The potential energy vs distance graph shows that potential energy decreases as distance increases. This indicates an inverse relationship between potential energy and distance - as distance between objects increases, the potential energy between them decreases.
What does the potential energy internuclear distance graph reveal about the relationship between potential energy and internuclear distance?
The potential energy internuclear distance graph shows that potential energy decreases as internuclear distance increases. This indicates an inverse relationship between potential energy and internuclear distance.
What is the formula for the potential energy of a simple harmonic oscillator in terms of the equilibrium position and the angle theta?
The formula for the potential energy of a simple harmonic oscillator in terms of the equilibrium position and the angle theta is U 1/2 k (x2 (L - x)2), where U is the potential energy, k is the spring constant, x is the displacement from the equilibrium position, and L is the length of the spring at equilibrium.
When is a pendulum at rest?
A pendulum is at rest when it is not swinging, at the lowest point of its swing. This is known as the equilibrium position where the potential energy is at its minimum and the kinetic energy is at zero.
Show that cohesive energy is minimum at equilibrium separation?
We have Lennard-Jones Potential given by, U=4epsilon[{(sigma/R)^12}- {(sigma/R)^6}] At equilibrium, dU/dR=0 if U is minimum. Solving, we get U=-epsilon which is indeed the bottom of the potential well.
The lowest point on a wave is the wave?
Minimum? Distance from equilibrium to minimum is the amplitude...
What does the potential energy vs distance graph reveal about the relationship between potential energy and distance?
The potential energy vs distance graph shows that potential energy decreases as distance increases. This indicates an inverse relationship between potential energy and distance - as distance between objects increases, the potential energy between them decreases.
What does the potential energy internuclear distance graph reveal about the relationship between potential energy and internuclear distance?
The potential energy internuclear distance graph shows that potential energy decreases as internuclear distance increases. This indicates an inverse relationship between potential energy and internuclear distance.
What does the potential energy vs distance graph reveal about the relationship between potential energy and distance in the system?
The potential energy vs distance graph shows how the potential energy of the system changes as the distance between objects in the system changes. It reveals that there is a relationship between potential energy and distance, where potential energy increases as distance decreases and vice versa.
What is the distance between kinetic and potential energy?
Kinetic and potential energy are a type of energy, not a measurement of distance.
Types of equilibrium?
In physics there are two common types of equilibrium: static equilibrium and neutral equilibrium. Equilibrium usually is related to potential energy, for a system to be at equilibrium it must maintain the balance between the two types of mechanical energy: potential and kinetic. The first equilibrium: static means that the system is in a relatively low (relatively means that there could be lower energy but the current states is a local minimum), thus small disturbances to the system will be returned to its original equilibrium. The other type of equilibrium is neutral equilibrium, the relative energies of the system is constant, thus disturbances to the system will move the system but it will remain at the same equilibrium value, and the system makes no effort to return to its original state. Please take a look at the graph for a visualization of these 2 types.
What is the formula for the potential energy of a simple harmonic oscillator in terms of the equilibrium position and the angle theta?
The formula for the potential energy of a simple harmonic oscillator in terms of the equilibrium position and the angle theta is U 1/2 k (x2 (L - x)2), where U is the potential energy, k is the spring constant, x is the displacement from the equilibrium position, and L is the length of the spring at equilibrium.
What does the graph of potential energy versus internuclear distance reveal about the interaction between atoms in a chemical bond?
The graph of potential energy versus internuclear distance shows how the energy changes as the distance between atoms in a chemical bond varies. It reveals important information about the strength and stability of the bond, as well as the equilibrium distance at which the atoms are most stable. The shape of the curve can indicate the type of bond (e.g. covalent, ionic) and the overall energy required to break or form the bond.
How is potential energy in a spring defined?
Potential energy in a spring is the energy stored in the spring when it is compressed or stretched from its equilibrium position. It is commonly calculated using the equation P.E. = 1/2 k x^2, where k is the spring constant and x is the displacement from the equilibrium position.
When you stretch out a spring at what point would you have the greatest potential energy?
A spring has maximum potential energy at maximum displacement from equilibrium. This means that the greatest potential energy will occur when a spring is stretched as far as it will stretch or compressed as tightly as it will compress. In an oscillating system, where an object attached to a spring is moving back and forth at a given frequency, the object will oscillate about the equilibrium point, and the potential energy of the system will be greatest (and equal) when the object is farthest from equilibrium on either side.
