| Question |
Answer |
| Displacement d = |
∆s (final position) - (inital position) |
| average velocity v = |
v = ∆x/∆t = d/∆t |
| average acceleeration a = |
a = ∆v/∆t |
| the Big Four uniformly accerlerated motion |
∆x = Vоt + 1/2at^2; ∆v =at; v^2 = v^2+2a∆x; v = v+v (final)+ (inital)/2; |
| Newton's First Law |
F = An object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon |
| Newton's Second Law |
F = ma |
| Newton's Third Law |
To every action there is always opposed an equal reaction |
| Weight w = |
w = mg |
| Gravitational force F = |
F = G Mm/r^2 |
| Kinetic friction |
F = µ(k)F (normal force) |
| Static friction |
F = µ(s)F (normal force) |
| Force due to gravity acting parallel to inclined plane F = |
F = mg sinθ |
| force due to gravity acting perpendicular to inclined plane F = |
F = mg cosθ |
| Force from Tension F (T) = |
F (tension) = F (net) + mg |
| Center of mass |
= m1x1+m2x2+m3x3.../m1+m2+m3... |
| Centripital acceleration a = |
F = v^2/r |
| Centripital ForceF = |
F = ma = mv^2/r |
| Torque τ = |
τ = rFsinθ |
| Work (3)W = |
W = Fd= Pt= qV |
| Kinetic Energy KE = |
KE = 1/2 mv^2 |
| Work-Energy Theorem W (total)= |
∆KE |
| Gravetational Potential Energy PE or U = |
PE = mgh |
| Total Mechanical Energy E = |
E = KE + PE |
| Conservaton of Total Mechanical Energy |
KE(i)+PE(i) = KE(f)+PE(f) |
| Momentum p = |
p = mv |
| Impulse J |
J = ∆p= F∆t |
| Conservation of Total Momentum |
p(inital) = p(final) |
| Elastic Collision |
Total momentum and total KE is conserved i.e when after a collision two balls go in opposite directions |
| Inelastic Collision |
Total momentum is conserved however, KE is NOT conserved i.e balls move together |
| Density ρ = |
ρ = m/V |
| Specific gragity sp.gr = |
sp.gr = ρ/ρH2O |
| Pressure P = |
P = F/A |
| Area for circle A = |
A = πr^2 |
| Hydrostatic Gague Pressure P (gauge) = |
= ρ(fluid)gd |
| Total Hydrostatic Pressue P = |
P = ρ (on surface) +P(gauge) |
| Archmides' Principle F (Buoy) = |
F (Buoy) = ρ(fluid)gV |
| Laminar |
smooth floe |
| Pascal's Law |
F1/A1 = F2/A2 |
| flow rate f = |
f = Av |
| Bernoulli's equation |
P1 +1/2ρv^2 +ρgh = P2 +1/2ρv^2 + ρgh |
| Stress |
= F/A |
| Elementary Charge e = |
e = 1.6 x10^-19 C = 1eV |
| Coulomb's Law F(electric) = |
F = K qq/r^2 |
| electric Field due to point charge Q = |
Q = k Q/r^2 |
| The direction of electric field is... |
away from a positive source charge and toward a negative charge |
| Electric Force F(electric) = |
F = qE |
| Current I = |
I = Q/t |
| Resistance R = |
R = ρ(resistivity) L/AR = V/I |
| Ohm's Law |
V = IR (where R is constant) |
| Resistors in series |
R = R1+R2+R3+R4.... |
| Resistors in parallel |
R = R1R2/R1+R2 or 1/R = 1/R1 + 1/R2... |
| Power of circuit P = |
P = IV; P = I^2R; P = V^2/R |
| Roor-mean-squar V rms = |
V rms = V max/√2 |
| T or F; Do resistors in series share the same current? |
True...always |
| T or F; Do resistors in parallel share the same voltage drop? |
True...always |
| Does a small resistance give a smaller or bigger current? |
A smaller resistance gives a BIGGER current |
| T or F can capacitors with dielectrics hold more charge and PE? |
True |
| Charge on a capacitor Q = |
Q = CV |
| capacitance C = |
C = ε A/D |
| electric field in parallel plate V = |
V = Ed |
| Stored potential energy in capacitors PE = |
PE = 1/2QVPE = 1/2CV^2 |
| Capacitors in serires C = |
C = C1C2/C1+C2 or 1/C = 1/C1 + 1/C2... |
| Capacitors in parallel C = |
C = C1+ C2+ C3... |
| Magnetic Force F(B) = |
F(B) = qvB (B = magnetic field) |
| Right Hand Rule |
thumb = direction of velocity of chargefingers = B = magentic fieldpalm of hand = magnetic force |
| Hooke's Law for springs |
F= -kx |
| Elastic Potential Energy for spring |
PE = 1/2 kx^2 |
| Frequency spring block f = |
f = ω/2π |
| period for mass spring T = |
T = 2π/ √m/k |
| fundamental equation for waves v = |
v = γf |
| force constant for simple pendulem k = |
k = mg/L |
| period for simple pendulem T = |
T = 2π√L/g |
| angular frequency for sinmple pendulem |
ω = √g/L |
| sin 0 = |
0 |
| sin 30 = |
1/2 or .5 |
| sin 45 = |
√2/2 or .70 |
| sin 60 = |
√3/2 or .87 |
| sin 90 = |
1 |
| sin 180 = |
-1 |
| cos0 = |
1 |
| cos 30 = |
√3/2 or .87 |
| cos 45 = |
√2/2 or .70 |
| cos 60 = |
1/2 or .5 |
| cos 90 = |
0 |
| cos 180 = |
-1 |
| potential engergy for simple pendulem PE = |
PE = mgh |
| What is the wavelength of a wave in a tube with both ends open? λ= |
λ = 2L/n |
| What is the wavelength of a wave in a tube with one end closed? λ= |
λ= 4L/n |
| Beat frequency: f(beat) |
f(beat) = f(1) - f(2) |
| Intensity I = |
I = power/area |
| Doppler Effect f(D) = |
f(O) = f(s) v +- v(o)/ v +- v(s) |
| v(s) is positive if... |
source is moving away from observer |
| v(s) is negative if... |
source is moving toward observer |
| v(o) is positve if... |
object is moving toward source |
| v(o) is negative if... |
object is moving away from source |
| Photon of Energy E = |
E = hf = hc/λ |
| Index of refraction n = |
n = c/v |
| Snell's Law of Refraction |
n1sinθ = n2sinθ |
| mirror lens equation 1/f = |
1/o + 1/i = 1/f |
| focal length f = |
f = 1/2r |
| magnification m = |
m = -i/o |
| If speaking about optics and light, converging means... |
converging means concave mirror and convex lens |
| If speaking about optics and light, diverging means... |
diverging means convex mirror and concave lens |
| Positive i = |
real image (infront of mirror); that is inverted |
| Negative i = |
virtual image (behind mirror); that is upright |
| Lens power P = |
P = 1/f |
| What is the formula for wavelength of a sting with both side closed λ = |
λ = 2L |