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Definition
The ability to do work A scalar quantity associated with the state of one or more objects 


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Definition
Energy associated with the motion of a particle 


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Definition
Energy associated with the position and conservative forces of a particle (also considered stored energy) 


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Energy transfer to or from an object 


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The Unit of Energy 1J = 1Nm 


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Energy can be converted from one form to another but never created or destroyed 


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Definition
K = 0.5*mass(m)*velocity(v)^2 K = 0.5mv^2 


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W = Force(F)*distance(d)*cos(theta) W = Fdcos(theta) 


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W = mass(m)*gravity(g)*height(h) W = mgh 


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Definition
W = 0.5*Spring constant(k)*displacement(x)^2 W = 0.5kx^2 


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Work Kinetic Energy Theorem 

Definition
net Work = final Kinetic energy  initial Kinetic energy W_net = K_f  K_i 


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Measuring work with variable force given a graph 

Definition
[image]
For a variable force, [image] or work is the area under the curve graphically. Remember area formulas from geometry 


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Definition
The rate of doing work
The change in work over the change in time
Pavg = delta(E)/delta(t)
Pinst = dW/dt
[image] 


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The Unit of Power
1W = 1 J/s 


Term

Definition
a force which allows two way conversion between KE and PE
Properties:
 It can always be expressed as difference between initial and final values of a potential energy function
 It is reversible
 It is independent of path and depends only on initial and final points
 When initial and final points are the same, work is zero



Term
Nonconservative (dissipative) forces 

Definition
Force in which energy is lost to KE and PE 


Term
Potential Energy Equations 

Definition
 Conservative force potential energy
[image]
 Gravitational Potential Energy
[image]
[image] 


Term
Potential Energy Curves in a graph 

Definition
 Turning Point
 A point where the particle motion reverses
 Equilibrium
 A point where the particle does not move
 Stable Equilibrium
 Any movement away from this point results in a force back to it (PE is minimum)
 Unstable Equilibrium
 Any movement away from this point results in a force away from it (PE is maximum)
 Neutral Equilibrium
 Any displacement away from equilibrium results in no force (PE is constant)



Term
Conservation of Total Energy 

Definition
NOT TO BE CONFUSED WITH CONSERVATION OF MECHANICAL ENERGY
[image]
Potential Energy_initial gravity + Potential Energy_initial system + Kinetic Energy_initial + Work_other = Potential Energy_final gravity + Potential Energy_final system + Kinetic Energy_final 

