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kinetic energy
KE = ½ mv2
m = mass (kg)
v = velocity (m/s)

linear momentum
p = mv
m = mass (kg)
v = velocity (m/s)

impulse
FΔt = Δp
F = applied force (N)
t = elapsed time (s)
impulse = change in momentum

Kinetic Energy / Work energy theorem
Wnet = ΔKE
W = F||d = Fdcosθ
F = applied force (N)
d = displacement (m)
θ = angle between force vector and displacement

power
P = ΔE / Δt or w / Δt
ΔE = energy (J)
Δt = elapsed time (s)
w = work
SI unit: J/s
J = Kg*m2 / s2 → P = Kg*m2 / s3
Horsepower is another unit of measurement of power which is usually used when dealing with motors or engines

center of mass
xcm = Σmixi / Σmi
Σmi = sum of mass of objects (kg)
xi = distance from centre of objects to origin of system (m)

total mechanical energy
E = K + UG
K = kinetic energy (J)
UG = potential energy (J)

change in potential energy
ΔUG = mgΔh
m = mass (kg)
g = acceleration due to gravity (10 m/s2)
Δh = change in height (m)

conservation of mechanical energy
Ei = Ef (no friction)
ΔE = ΔKE + ΔU = − Wfr (no friction)
E = mechanical energy (J)
K = kinetic energy (J)
UG = potential energy (J)

efficiency
e = Wout / Ein
Wout = work done (J)
Ein = input energy (J)

negative net work done on an object means its kinetic energy _______
decreased
perfectly elastic collision
occurs when there is no loss of kinetic energy during the collision
both momentum and kinetic energy are conserved
completely inelastic collision
both objects stick together after colliding and will have the same final velocity
momentum is also conserved