Stored energy within a system due to the positions of its components.
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What is potential energy?
Stored energy within a system due to the positions of its components.
What are conservative forces?
Forces where the work done is independent of the path taken.
What are non-conservative forces?
Forces that dissipate energy as heat and do not have an associated potential energy.
What is stable equilibrium?
A state where, if you nudge the system, it returns to its original position; corresponds to a local minimum on a potential energy curve.
What is unstable equilibrium?
A state where, if you nudge the system, it moves away from its original position; corresponds to a local maximum on a potential energy curve.
Define the elastic spring potential energy.
The potential energy stored in a spring due to its compression or extension from its equilibrium position. It is given by the formula: $$U_{s} = \frac{1}{2} k(\Delta x)^{2}$$.
What is potential energy?
Stored energy within a system due to the positions of objects.
What are conservative forces?
Forces that allow a system to store energy; work done is path-independent.
What are non-conservative forces?
Forces that dissipate energy as heat, preventing the system from storing potential energy.
What is the spring constant (k)?
A measure of the stiffness of a spring.
What is gravitational field (g)?
The acceleration due to gravity, approximately 9.8 m/sยฒ on Earth.
Define displacement (ฮx) in the context of springs.
The distance a spring is stretched or compressed from its equilibrium length.
What is potential energy?
Stored energy within a system due to the positions of its components.
What is a conservative force?
A force where the work done is independent of the path taken.
What is a non-conservative force?
A force that dissipates energy as heat and does not have an associated potential energy.
What is stable equilibrium?
A state where, if you nudge the system, it returns to its original position; corresponds to a local minimum on the potential energy curve.
What is unstable equilibrium?
A state where, if you nudge the system, it moves away from its original position; corresponds to a local maximum on the potential energy curve.
Define gravitational potential energy near Earth's surface.
The potential energy an object has due to its height above a reference point, given by the formula: $\Delta U_{g} = mg\Delta y$