Busy. Please wait.

show password
Forgot Password?

Don't have an account?  Sign up 

Username is available taken
show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.
We do not share your email address with others. It is only used to allow you to reset your password. For details read our Privacy Policy and Terms of Service.

Already a StudyStack user? Log In

Reset Password
Enter the associated with your account, and we'll email you a link to reset your password.
Don't know
remaining cards
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
restart all cards
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how


Formulas and Units

Velocity - acceleration is constant vf = vi + a t
Linear Displacement - acceleration constant xf = vi t + 1/2 a t2
Final Velocity vf2 = vi2 + 2aΔx
Velocity Units m/s or cm/s
Velocity Formula Δx/Δt=V
Displacement formula Δx = xf-xi
Vector x formula Fx = F cosӨ
Vector y formula Fy = F sinӨ
How to find Ө using x and y Ө= tan–1(Fy/Fx)
Gravitational Formula FG = GmM/r2
Momentum Conservation Formula m1v1 + m2v2= m1v1 + m2v2 (Elastic collisions)
Power Formula P=w/t
Angular Momentum Formula L = mvr= Iw L =angular momentum, m =mass of the small object m1v1 + m2v2 v =magnitude of object’s velocity r = separation between the objects
Centripetal Force Formula F=mv2/r
Work formula W = F d cosӨ W= -μkmgΔx W= TΔxcosӨ W = PΔt
Kinetic Energy Formula KE = ½ mv2 ΔKE = fkd energy lost
Potential Energy Formula PE = mgh (gravitational)
Formula for gravity (general) gravity (general): GmM/r
Spring Formula - Potential Energy PE = ½ kx2 (x from equilibrium)
Heat Formula Q= cmΔT c=heat capacity of substance m=mass of substance Q=Quantity of heat
Change in energy formula ΔE = Q + W W=work E=entropy
Simple Machine Formula - lever Torque = lever arm x force
Spring Periodic Motion Formula T=2π (SQRroot m/k)
Pendulum Formula T=2π (SQRroot L/g)
Period of object period = 1/frequency
Coulomb’s Law Fc = kqQ/r2 FC (force between q and Q)
Force felt by Q formula F = QE (actual force felt by Q)
Ohmas Law VR = IR (VR = resistor’s voltage drop)
Series Resisters Formula Rt = R1 + R2
Parallel Resisters Formula Rt= (1/R1 + 1/R2)–1
Power Lost by each resister PR = IR 2R = VR 2/R
Circular Motion X = R Cos Ө Y = R Sin Ө
Circular Motion Velocity V = 2πr/T V = SqRoot g R TAN Ө
Period Formula T = mg/CosӨ T = mV2/R
Moon Gravity 1/6 that of Earth
Weight Formula W = mg
Distance for planets d = D/(sqroot moon/M of earth) +1
Newton's 3rd Law Formula Fab = -Fba = W
Tension Formula T - Fg = (Fg/g) a EF = T-Fg = ma
Acceleration with Tension a = g(F-Fg)/Fg) a = g sin Ө N = -mg Cos Ө
Freefall formula Drop Drop = Viy/(G/2)
Freefall formula Range Range = (v2/g) sin 2V or d= 1/2 gt2 Max at 45 degrees
Projectile Formula X component Vxf = Vxi Vf = Xi+VixΔt Vfx2 = vix2
Projectile Formula y component Vfy=Viy+2yΔt Yf = ViyΔt+1/2ay(Δt)2 Vfy2 = Viy2 + 2ayΔy
Projectile speed formula Speed = sqroot Vx2+Vy2
Friction Formula Kinetic fk = μk N
Friction Formula Static Fs < μsN
Friction acceleration Formulas a = -μkgCos Ө + g Sin Ө
Drag Force formula F draV2 Vr = Sqroot (2mg/CpA)
Terminal Velocity Formula Vt = sqroot 2mg/CpA
Hook's Law (springs) F = -kx
Work on a spring Wspring = (kx2/2) - (kxi/2)
Power Formula P = FV P (mgh)/(Δt)
Average Power Formula Avg P = W/Δt
Power Units J/s = 1W Joules per second = Watt 1 hp = 746 Watts
Earth Data 6 X 10 24 Kg Radius 6 X 10 6 m
Univeral Gravitational Potential Energy Ugrav = mgy ΔUgrav Ugrav = mg (d+h) mg (yf-yi)
Mechanical Energy KE+PE = E
Four Forces Gravity Electrical Magnetism Strong Nuclear Force Weak Nuclear Force
Kepler's Formula T2/r3
Orbital Motion V = sqroot Gm/r satellite speed T2 = (4π2/Gm)r3
Momentum Formula ρ = mv Angular Momentum (ω)
Rotational Inertia Formula Rotational Inertia = mr2
Impulse formula I = Ft I = Δp I = pf=pi change momentum F= Δp/Δt If no net force Δp = 0
Elastic Collision formulas Vif = (m1-m2/m1+m2) Vi V2f = (2mi/m1+m2)Vi Δp = 0 ΔE =0
Inelastic collisions h = 1/2 (m1+m2)Vf2/(m1+m2)g ΔP = 0 E not conserved
Harmonic Motion 1/2kx2=1/2mv2 (pedulum)
Restore Force ԐF = -kx restore ԐF = -k-x compression
Spring Acceleration a = (k/m)x
Tangential SPeed V = rω V = sqroot ((kx)/m )
Potential Inertia -Pendulum l = mv2
Potential Inertia - Hoop l= 1/2mr2
Radian Measures s/r =Ө or C=2πr s = arc length 1/2 circle = S= 1/2C = 180 degrees s/r = π 2π/360 = 1, 180= S/R = π, 90 = S = 1/4C, S = (30/60)C = 1/12, 360 = 2π
Center of Mass - Centripetal Force F = mvr2/r
Linear Momentum linear momentum = mv
angular momentum angular momentum = mvr
Center of Mass rcm = (m1r1+m2r2)/(m1+m2)
Revolution or cycle n = S/C = S/(2πr)
Angular Velocity (ω) ω= 2πf ω = r(ΔӨ/Δt) V = rω
Angular Velocity (ω) Units 1/s or s-1 Hertz (Hz) = 1s-1 radian /s
Acceleration - using angular a = v2/r a =rω2
Force Normal - angular FN = mg = Mrω2 ω = sqroot (g/r)
Revolution T = period = 1 Revolution 1 rad/s = 9.55 r/min = 0.159 r/s
Torque Ft=Mat = Mrα F = T r = R a = Iω
Moment of Inertia I = mr2
Rotational KE KErot = 1/2Iω 2 KEtot = KEin+KEout = 1/2mV2+1/2Iω2 K = 1/2lω2 KE=1/2m(Rw)2 = circle
Angular Momentum L =r(perpendicular)mv
Aphelion V = r(perpendicular) ω Tangential SPeed V = rω Orbit speed
Created by: pheinen3