MCAT Flashcards
Average Speed
∆x/∆t
m/s
Average Velocity
∆d/∆t
m/s
Acceleration
∆v/∆t
m/s^2
Newton’s second law
F=ma
1 N=1 kg*m/s^2
Static Friction
F(f)=μ(s)F(n)
1 N=1 kg*m/s^2
Kinetic Friction
F(f)=μ(k)F(n)
1 N=1 kg*m/s^2
Force of Gravity acting perpendicular to an inclined plane
mgcosθ
1 N= 1kg*m/s^2
Force of gravity acting parallel to an inclined plane
mgsinθ
1 N= 1kg*m/s^2
Torque
τ = rFsinθ
N * m
Work
W = Fdcosθ
1 Joule= N*m
Work (pressure-volume curve)
W = P∆V
Joules
Center Of Mass
x = (m1x1 + m2x2 + m3x3)/(m1 + m!2+ m3)
Mechanical Advantage
MA=F(out)/F(in)
Newtons
Power
P=W/t or ∆E/t
1 watt (W)= Joule/s
Power
P=Fv
1 Watt
Kinetic Energy
KE=1/2mv^2
Joule= kg(m^2)/(s^2)
Work-Kinetic Energy Theorem
W=∆KE = K(f) − K(i)
Joule= kg*(m^2)/(s^2)
Gravitational Potential Energy
U=mgh
Joule
Elastic Potential Energy
Elastic potential energy is directly proportional to the square of the change in length and the spring constant
U=1/2*k(x^2)
Joule
Hooke’s Law
The magnitude of the force required to change the length of a spring-like object is directly proportional to the spring constant and the displacement of the spring
F=-kx
Newton
Frequency of a wave
f=1/T
1/s=Hz
speed of wave
v=fλ m/s
Density
ρ = m/V
g/(cm^3)
Specific gravity
ρ(object)/ρ(water)
g/(cm^3)
Buoyant Force
F(b)=mg=ρ(fluid)Vg
Newton
Pascal’s Law
F1/A1=F2/A2
Pascal’s Law
P=F/A
Pascal (Pa)=N/(m^2)
Hydrostatic Pressure
P=P(o)+ρgh
Pascals
Poiseuille’s Law
The law that the velocity of a liquid flowing through a capillary is directly proportional to the pressure of the liquid and the fourth power of the radius of the capillary and is inversely proportional to the viscosity of the liquid and the length of the capillary.
Q=(π(r^4)∆P)/(8ηL)
flow rate
Continuity Equation
A1v1=A2v2
Bernoulli’s Equation
P(1)+(1/2)ρ(v(1)^2)+ρgh(1)=P(2)+(1/2)ρ(v(2)^2)+ρgh(2) or
P(1)+(1/2)ρ(v(1)^2)+ρgh(1)=a constant
Absolute Temperature
K=Degrees Celsius +273
Pressure
P=F/A
Ideal Gas Law
PV=nRT
Boyle’s Law
P(1)V(1)=P(2)V(2)
Charles Law
V1/T1=V2/T2
Avogadro’s Law
n1/V1=n2/V2
Avg Kinetic energy of a gas particle
KE(avg)=(3/2)k(b)T
Joules
Heat capacity at constant volume for an ideal monoatomic gas
C(v)=(3/2)nR
J/K
Heat Capacity at constant pressure for an ideal monoatomic gas
C(p)=(5/2)nR
J/K
Van Der Waals Equation of State
P=(nRT)/(V-nb)-(n^2*a)/(V^2)
Dalton’s Law of Partial pressures
P(A)=X(A)*P(T)
P=P1+P2+P3…
Heat transferred
q=mc∆T
1 cal/(g*K)=4.184 J/(gK)
Standard Heat of Reation
Sum of change in Heat of products minus Sum of change in heat of reactants
OR
Sum of change in heat of bonds broken minus sum of change in heat of bonds formed
Change in Gibbs Free Energy
∆G = ∆H − T∆S
kJ/mol
Linear Expansion (solids)
∆L = αL∆T