Unit 2: Mechanical energy
General concepts introduced in this section:
- The idea that objects moving have energy that depends on their mass and speed.
- The notion of stored energy or "potential energy"
- Doing energy conservation as keeping the sum of all energies conserved, and how this is equivalent to looking at the changes in energy as done in unit 1.
- The idea of equilibrium was introduced.
Specific concepts introduced in this section
- Kinetic energy (KE)
- Energy associated with the movement of the object. We distingush between two main types of movement: rotational movement and translational movement.
- KEtrans
- The translational kinetic energy. It is the energy associated with moving the object as a whole. For an object of mass m and velocity v, the translational kinetic energy is
KEtrans = mv2/2
- KErot
- The rotational kinetic energy. The faster an object rotates, the more KErot it has. A formula similar to the one above exists for KErot, but requires concepts we will not develop until Physics 7B.
- Potential energy (PE)
- Energy that is stored between systems. Comes in many different forms, depending on the systems in action.
- PEgravity
- The potential energy for an object sitting in a gravitational field.
PEgrav = mgy where m is the mass, g = 10 m/s2 on Earth and y is the height above some arbitrary choice of y=0.
- PEmass-spring
- The energy stored in a spring. This depends on a characterstic of the particular spring k (called the spring constant) and the distance from equilibrium y in the following way
PEmass-spring = ky2/2.
Notice that it does not matter what sign the displacement from equilibrium is, the potential energy is still the same.
DLs and FNTs for this section
DL and FNTs 1-3 cover this material.
Notes
Notes to appear (maybe)
Extra problems