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# ▷Physics Made Easy - Step by Step with the TI-Nspire CX (CAS)◁

## Solve Physics problems stepwise using the Ti-Nspire Calculator

Runs on TI-Nspire CX and CX CAS only.
It does not run on computers!
 TI-Nspire CX CAS TI-Nspire CX

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Description

MECHANICS
• Find Center of Mass
• All in one Vector Explorer
• Find Norm
• All in one 2-Vectors Explorer
• Read: Newton's 3 Laws of Motion
• Newtons 2. Law: F=m*a
• Centripetal Force: F=m*v^2/r
• Centripetal Force: F=lambda*v^2*r
• Find Net Force/Resultant
• Pressure
• Pressure
• Pressure
• Friction Solver: F=mu*N
• Momentum: p=m*v
• Momentum: m1*v1=m2*v2
• Torque: T=F*r*sin(lambda)
• Circular Motion: Velocity v=2pr/t
• Circular Motion: Acceleration a=v^2/r
• Projectile at Angle

• KINEMATICS
• Read: The Big 5 Equations
• Average Speed=Distance/Time : v=d/t
• Linear Motion: vf^2=vo^2+2*a*d
• Linear Motion: v=vo+a*t
• Linear Motion: d=(vo^2+vf^2)/2 * t
• Linear Motion: lambdax=v0t + 1/2at^2
• Linear Motion: v=v(2*g*h)
• Rotational Kinetic Energy K=1/2*I*lambda^2
• Harmonic Motion: T=2p/lambda
• Harmonic Motion: E=1/2*k*A^2
• Harmonic Motion: T=2p*v(l/g)
• Harmonic Motion: f=1/T
• Harmonic Motion: T=2*p*v(m/k)
• Harmonic Motion: T=2*p*v(I/mgd)
• Harmonic Motion: x=A*cos(lambdat+F)
• Harmonic Motion: v=v(A^2-x^2)
• Harmonic Motion: Max Velocity
• Harmonic Motion: Max Acceleration
• Period of Spring T=2*pv(mass/spring constant)
• Spring F=k*x
• PotentialEnergy of Spring Us=1/2*k*x^2
• Spring Time T=2*p*v(l/g)
• Time Frequency T=1/f
• Wave Length lambda=v/f
• Time T=2*p*v(m/k)
• Waves+Vibrations: v=v(T*(m/L))
• Waves+Vibrations: k=2*p/lambda
• Waves+Vibrations: lambda=2pf

• WAVES: LIGHT
• Speed Of Light: E=m*c^2
• Light sin(theta_1)/sin(theta_2)=v_1/v_2
• Light Theta=lambda/L
• Light: E=P/(4pr^2)
• Light: I2=I1cos(theta)^2
• Light: f_obs=f(1+-v/c)
• Light: n=c/f
• Light: lambda_obs-lambda=+-v/c*lambda
• Light: n1*sin(theta1)=n2*sin(theta2)
• Light: sin(theta)=n1/n2
• Light: n=c/v
• Light: 1/f=1/d1+1/d2
• Light: M=hi/ho
• Light: lambda=xd/L
• Light Diffraction: 2*x1=(2lambdaL)/w
• Light: lambda=d*sin(theta)
• Light: x_obj=1.22*lambda*L/D

• WAVES: OPTICS & SOUND
• Optics: Refraction: Refraction Index
• Optics: Refraction: Snell's Law
• Optics: Total Internal Reflection
• Optics: Wave Optics: Maxima
• Optics: Wave Optics: Minima
• Optics: Band Distance on Screen lambda/d=x/L
• Optics: Optical Instruments: Focal Length
• Optics: Optical Instruments: Magnification
• Sound: Doppler Effect
• Sound: l_b-l_a=1/2*lambda
• Sound: beta=10*log(I1/I2)
• Sound: lambda=v/f
• Sound: f1=f/(1+-s/c)
• Sound: v=v(B/lambda)
• Sound: lambdaP=rho*v*omega*s_max
• Sound: I=lambdaP_max^2/(2*rho*v)
• Sound: I=P/(4*p*r^2)

• WAVES: FLUIDS
• Fluids: lambda=m/V
• Fluids: P=F/A
• Fluids: F2=F1*A2/A1
• Fluids: Fb=Fa*r_b^2/r_a^2
• Fluids: P=Po+p*h*g
• Fluids: F=lambda*V*g
• Fluids: p+(1/2)*lambda*v^2+lambda*g*h=a
• Fluids: Ds/Di=h_sub/h_s
• Fluids: Q=p*r^4*(P1-P2)/8*mu*L
• Fluids: T=F/L
• Fluids: lambda1*A1*v1=lambda2*A2*v2

• ENERGY
• Kinetic: Translational
• Kinetic: Rotational
• E_pot=E_kin : lambdax^2=m/k*v^2
• Potential Energy
• Potential: Spring (Us)
• Potential: Universal Gravitat. (UG)
• Heat: Q=m*c*T
• Heat: Q=m*L
• Heat: W=P*d*V
• Heat: E=Q-W
• Heat: Conduction
• Heat: Convection
• Heat: w=-n*r*t*ln(vf/vi)
• Miscellaneous: Heat (H)
• Miscellaneous: W=F*s*cos(theta)
• Miscellaneous: W=F*s*sin(theta)
• Miscellaneous: Power=W/t
• Miscellaneous: E=mu*dx
• Work Energy Theorem
• Photon Energy: E=h*c/lambda

• ELECTRICITY
• Electricity & Induction
• Electricity: Coulombs Law
• Electricity: Voltage V=E*d
• Electricity: Voltage V=W/q
• Electricity: V=Q/C
• Electricity: P=Po*[1+a*(T-To)]
• Electricity: q=Q*exp(-t/(R*C))
• Electricity: q=Q*(1-exp(-t/(RC))
• Electricity: C=K*eo*A/d
• Electricity: E=1/2*C*V^2
• Electricity: R=lambda*1/A
• Electricity: Flux F=E*A
• Electricity: E=Q/(4pr^2eo)
• Electricity: F=s*Q/eo
• Electricity: V=k*q/r
• Electric Field
• Induction: EMF=B(L)(V)
• Induction: I=V/R
• Induction: Pac=1/2(Pacmax))
• Induction: Pac=I_eff^2*R
• Induction: I_eff=v(1/2Imax^2)
• Induction: V_eff=v(1/2(Vmax)^2)
• Induction: Vs/Vp=Ns/Np
• Induction: Vp*Ip=Vs*Is

• MAGNETISM
• Magnetism: F=q*v*B*sin(theta)
• Magnetism: r= mv/(qB)
• Magnetism: v=E/B
• Magnetism: F=B*I*L*sin(theta)
• Magnetism: N=T*A*m
• Magnetism: t=F*r
• Magnetism: t=B*I*A*sin(theta)
• Magnetism: t=B*I*A*N*sin(theta)
• Magnetism: B=muo*I/2pr
• Magnetism: F/l=o*I1*I2/(2pd)
• Magnetism: B=muo*I/2R
• Magnetism: B=N*muo*I/2R
• Magnetism: B=muo*N/l*I
• Magnetism: F=B*A*cos(theta)
• Magnetism: lambda_F=BA(costhetaf-costhetai)
• Magnetism: e=-N*(F)/(t)
• Magnetism: F=I*B*l
• Magnetism: Emf=NBA*delta*sin(deltat)
• Magnetism: Emf=-L*(lambdaI)/(lambdat)
• Magnetism: R=P*l/A

• CIRCUITS & LAWS
• Circuits & Laws: P=V*I
• Circuits & Laws: V=R*I
• Circuits & Laws: P=I^2*R
• Circuits & Laws: P=V^2/R
• Circuits & Laws: Vc=(V*R2)/(R1+R2)
• Circuits & Laws: Read 1. Kirchhoff Law
• Circuits & Laws: Read 2. Kirchhoff Law
• Circuits: Parallel & Series
• Circuits: Resistence, Current, Voltage

• PLANETS
• Planets: Sun
• Planets: Mercury
• Planets: Venus
• Planets: Earth
• Planets: Moon
• Planets: Mars
• Planets: Jupiter
• Planets: Saturn
• Planets: Uranus
• Planets: Neptune
• Planets: Pluto
• Gravitation & Orbits: F=g*m1*m2/r^2
• Gravitation & Orbits: v=v(g*m/r)
• Gravitation & Orbits: v=2pr/t
• Gravitation & Orbits: P1^2/P2^2=R1^3/R2^3

• GAS LAWS
• Volume of Gas
• Boyle's Gas Law
• Charles' Gas Law
• GayLussac Gas Law
• Combined Gas Law
• Ideal Gas Law
• Adiabatic Expansion of Ideal Gas Law
• Gas Sum / Dalton Law
• Graham's Gas Law

• EXTRAS
• Periodic Table of Elements: Symbol
• Periodic Table of Elements: Element Name
• Find Absolute Error and % Error
• Convert: Normal to Scientific Notation & back
• Density=Mass/Volume Solver
• Moles & Representative Particles
• Atoms to Moles Conversion
• Relativity: Time-Dilation
• Relativity: Mass-Dilation

• SPECIFIC HEATS
• Water
• Ice
• Steam
• Methyl Alcohol
• Benzene
• Wood
• Soil
• Air
• Aluminum
• Marble
• Glass
• Iron/Steel
• Copper
• Silver
• Mercury
• Gold