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7 Energy 7.1 Equations •Kinetic energy: KE=1/2mv23 •Potential energy: PE=mgh •total energy: E=KE+PE•work: W=Fd=∆E. If force...

7 Energy

7.1 Equations

•Kinetic energy: KE=1/2mv23 •Potential energy: PE=mgh

•total energy: E=KE+PE•work: W=Fd=∆E. If force and distance are perpendicular, W=0. If opposite,W¡0.•power: P=∆E∆t

7.2 Skills

•Know how to find velocities or heights of objects, using conservation of energy and knowing information about initial/final states.

•Know how to find energy of object and thus velocity after a force has done work on it.

•Use power to find how quickly an object’s energy changes

.8 Rotation

8.1 Equations

•Rotational velocity:ω=∆θ∆t

•Rotational acceleration:α=∆ω∆t•torque:τ=rForτ=Iα; if r and F are parallel, torque is zero

•Rotational KE=1/2Iω2•Angular momentumL=mvr, orL=Iω8.2Skills

•Same types of problems as motion, but with angular variables: Givenαand ∆t,find ∆θ,etc.

•Know how to find the torque on an object for different forces and distances.

•Use rotational KE in conservation of energy problems when an object is spin-ning/rotating

•Use Conservation of angular momentum for objects spinning/rotating, to find ini-tial/final momentums.

•Given a torque, find the angular acceleration made for an object with inertia I

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