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12 wrz 2022 · Figure \(\PageIndex{3}\): A graph of the kinetic energy (red), potential energy (blue), and total energy (green) of a simple harmonic oscillator. The force is equal to F = − \(\frac{dU}{dx}\). The equilibrium position is shown as a black dot and is the point where the force is equal to zero.
- 3.7: Energy Diagrams
For a given position, the gap between the total energy line...
- 3.7: Energy Diagrams
Calculate the kinetic energy of a particle given its mass and its velocity or momentum; Evaluate the kinetic energy of a body, relative to different frames of reference
You can also examine Figures \(\PageIndex{1}\) and \(\PageIndex{2}\) above, and calculate, from the graphs, the value of the total kinetic energy during the collision. You will see that it dips to a minimum, and then comes back to its initial value (see also Figure \(\PageIndex{4}\), later in this chapter).
Mathematical expressions, which quantify how the stored energy in a system depends on its configuration (e.g. relative positions of charged particles, compression of a spring) and how kinetic energy depends on mass and speed, allow the concept of conservation of energy to be used to predict and describe system behavior.
Calculating the Kinetic Energy of a Package. Suppose a 30.0-kg package on the roller belt conveyor system in Figure 7.4 is moving at 0.500 m/s. What is its kinetic energy? Strategy. Because the mass m m and speed v v are given, the kinetic energy can be calculated from its definition as given in the equation KE = 1 2 mv 2 KE = 1 2 mv 2. Solution
For a given position, the gap between the total energy line and the potential energy line equals the kinetic energy of the object, since the sum of this gap and the height of the potential energy graph is the total energy.
Kinetic Energy is the energy when something appears moving while potential energy is when it appears still. Potential energy can be kinetic energy if acted upon by a force.
