AP Physics 1: Work and Energy Equations

Work:

W = Fdcosθ

W = Work in J

F = Force in N

d = distance in m

θ = angle between force & displacement

Kinetic Energy:

K= (1/2)mv^2

K = Kinetic Energy in J

m = mass in kg

v = speed in m/s

Net Work/The Work-Energy Theorem:

Wnet = ((mv^2)/2) - ((mv0^2)/2)

Wnet = Net Work (work due to all acting forces) in J

m = mass in kg

v = final velocity in m/s

v0 = initial velocity in m/s

Net Work/The Work-Energy Theorem:

Fnet * x = ((mv^2)/2) - ((mv0^2)/2)

Fnet = Net force (due to all acting forces) in N

x = distance/displacement in m

m = mass in kg

v = final velocity in m/s

v0 = initial velocity in m/s

The Work-Energy Theorem:

Wnet = 🔺K

Wnet = Net Work (work due to all acting forces) in J

🔺K = change in kinetic energy (Kf - Ki) in J

Potential Energy for Gravity:

Ug = mgh

Ug = potential energy due to gravity in J

m = mass in kg

g = acceleration due to gravity, m/s^2

h = height above "zero" pt., m

Potential Energy for Springs:

Us = (1/2)kx^2

Us = spring potential energy in J

k = spring force constant, N/m

x = displacement from equilibrium position, m

Power (Formula 1):

P = W/🔺t

P = Power in W or hp

W = Work in Joules

🔺t = elapsed time in seconds

Power (Formula 2):

P = 🔺K/🔺t

P = Power in W or hp

🔺K = change in kinetic energy in J

🔺t = elapsed time in seconds

Power (Formula 3):

P = Fv

P = Power in W or hp

F = Force in N

v = average velocity in m/s

Law of Conservation of Mechanical Energy:

E = K + U

E = mechanical energy in J

K = Kinetic energy in J

U = Potential energy in J

Law of Conservation of Mechanical Energy (Change in Energy):

🔺E = 🔺U + 🔺K = 0

🔺E = change in mechanical energy in J

🔺U = change in potential energy in J

🔺K = change in kinetic energy in J

Law of Conservation of Mechanical Energy (Total Energy):

E = K + U + other

E = total energy in J

K = Kinetic energy in J

U = Potential energy in J

other = other types of energy (friction, heat, etc.) in J

Pendulum Energy (Formula 1):

Ki + Ui = Kf + Uf

Ki = Initial Kinetic Energy in J

Ui = Initial Potential Energy in J

Kf = Final Kinetic Energy in J

Uf = Final Potential Energy in J

Pendulum Energy (Formula 2):

(1/2)mv^2 = mgh

m = mass in kg

v = velocity in m/s

g = acceleration due to gravity in m/s^2

h = height in m

Height due to Pendulum movement:

h = l - lcosθ

h = height in m

l = length in m

θ = angle between force and displacement

Pendulum Energy (Formula 3):

Ei = Ef

Ei = initial mechanical/total energy

Ef = final mechanical/total energy