MCAT - ALL Equations

MCAT Equations
Name Equation Units

Mechanics & Energy

Average speed ∆x m
∆t s

Average velocity ∆d m
∆t s

Acceleration ∆v m
∆t s!

Newton’s Second Law F!"# = ma m !
1 Newton = 1 kg ∙ s
Static Friction F!,!"# = µ!F! m !
1 Newton = 1 kg ∙ s
Kinetic Friction F! = µ!F! m !
1 Newton = 1 kg ∙ s
Force of gravity mgcosθ m !
acting 1 Newton = 1 kg ∙ s
perpendicular to an
inclined plane

Force of gravity mgsinθ m !
acting parallel to an 1 Newton = 1 kg ∙ s
inclined plane

Torque τ = rFsinθ N∙m

Work W = Fdcosθ 1 Joule = N ∙ m

Work (pressure W = P∆V J
volume curve)

Center of mass
x = m!x! + m!x! + m!x!
m! + m! + m!

Mechanical Advantage
MA = F!"#

, F!"

Power W ∆E J
P= t= t 1 watt W = s
Power P = Fv W




Kinetic Energy 1 ! J
KE = 2 mv
Work-Kinetic W!"# = ∆KE = K! − K! J
Energy theorem

Gravitational U = mgh J
Potential Energy

Elastic Potential 1 ! J
Energy U = 2 kx

Hooke’s Law F = −kx N

Frequency of a wave 1 1
f= T
s = Hz
Speed of a wave v = fλ m
s

Fluids

Density m g
ρ= V
cm!

Specific Gravity ρ!"#$%&
ρ!"#$%

Buoyant Force F! = mg = ρ!"#$%Vg N

Pascal’s Law
A!= F!
F!
A!