Physics Chapter 2: Motion and Forces

Questions and Answers

What is the formula for distance?

d = vt

What is the formula for final velocity with acceleration?

Vf = V₀ + at

What is the formula for the final velocity in relation to acceleration and displacement?

Vf² = V₀² + 2a∆x

What is the formula for displacement with initial velocity and acceleration?

∆x = v₀t + 1/2at² Signup and view all the answers

What are the formulas for centripetal motion?

Ac = V²/r, Fc = mv²/r Signup and view all the answers

What is the Law of Gravitation?

F = GM₁M₂/r² Signup and view all the answers

What is Newton's second law?

Fnet = ma Signup and view all the answers

What is the formula for kinetic friction?

Fk = µkFn Signup and view all the answers

What is the formula for static friction?

Fs ≤ µsFn Signup and view all the answers

What is the formula for torque?

t = F x r or t = Fl sin θ Signup and view all the answers

What is Hooke's law?

F = -Kx Signup and view all the answers

What is the formula for kinetic energy?

KE = 1/2 mv² Signup and view all the answers

What is the formula for gravitational potential energy?

PE = mgh Signup and view all the answers

What is the formula for spring potential energy?

PE = 1/2 Kx² Signup and view all the answers

What is the formula for power?

P = W/t Signup and view all the answers

What is the formula for work?

W = Fd cos θ Signup and view all the answers

What is the formula for momentum?

p = mv Signup and view all the answers

What is the conservation of momentum equation?

m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂ Signup and view all the answers

What is Ohm's law?

P = IV, V = IR Signup and view all the answers

What is the formula for current?

I = ∆q/ ∆t Signup and view all the answers

What is the formula for capacitors in series?

1/Cs = 1/C₁ + 1/C₂ + ... Signup and view all the answers

What is the formula for capacitors in parallel?

Cp = C₁ + C₂ + ... Signup and view all the answers

What is the formula for resistors in series?

Rs = R₁ + R₂ + ... Signup and view all the answers

What is the formula for resistors in parallel?

1/Rp = 1/R₁ + 1/R₂ + ... Signup and view all the answers

What is the formula for electrostatic force?

F = Kq₁q₂/r² Signup and view all the answers

What is the formula for electric field?

E = R/q₀ Signup and view all the answers

What is the formula for capacitance?

q = VC Signup and view all the answers

What is the formula for energy stored by a capacitor?

U = 1/2CV² Signup and view all the answers

What is the formula for electric field due to point charge?

E = Kq/r² Signup and view all the answers

What is the formula for electrical potential?

∆V = ∆U/q₀ Signup and view all the answers

What is the formula for magnetic force around a wire?

B = µ₀I/2πr Signup and view all the answers

What is the formula for magnetic force?

F = qvBsinθ Signup and view all the answers

What is the formula for electrical potential of a point charge?

V = Kq/r Signup and view all the answers

What is the formula for magnetic field at the center of a wire loop?

B = µ₀I/2r Signup and view all the answers

What is the formula for density?

p = m/V Signup and view all the answers

What is the formula for pressure?

P = F/A Signup and view all the answers

What is the formula for specific gravity?

s.g = psub/pwater Signup and view all the answers

What is the formula for osmotic pressure?

π = MRT Signup and view all the answers

What is the formula for buoyant force?

Fb = pVg Signup and view all the answers

What is the formula for total pressure of fluid?

Ptot = Patm + Pgauge Signup and view all the answers

What is the continuity equation?

A₁V₁ = A₂V₂ Signup and view all the answers

What is the formula for thermal expansion?

∆L = αL∆T Signup and view all the answers

What is Graham's law of effusion?

Rate A/Rate B = √MMB/MMA Signup and view all the answers

What is the formula for fluid gauge pressure?

Pfluid = pgh Signup and view all the answers

What is Bernoulli's equation?

P + 1/2pv² + pgh = const Signup and view all the answers

What is the formula for heat energy?

∆Q = mc∆T Signup and view all the answers

What is the formula for latent heat?

∆Q = mL Signup and view all the answers

What is the first law of thermodynamics?

∆U = Q - W Signup and view all the answers

What is the internal energy of an ideal gas?

U = 3/2 nRT Signup and view all the answers

What is Gibbs free energy?

∆G = ∆H - T∆S Signup and view all the answers

What is the equilibrium Gibbs energy?

∆G˚ = -RTlnKeq Signup and view all the answers

What is the relationship between wave frequency and period?

f = 1/T Signup and view all the answers

What is the formula for spring angular frequency?

w = 2πf = √K/m Signup and view all the answers

What is the formula for wave speed?

v = fλ Signup and view all the answers

What is the formula for pendulum angular frequency?

w = 2πf = √g/L Signup and view all the answers

What is the formula for the Doppler effect?

f = f (v±Vd)/(v±Vs) Signup and view all the answers

What is the formula for the index of refraction?

n = c/v Signup and view all the answers

What is the formula for magnification?

m = -i/o Signup and view all the answers

What is the formula for total internal reflection?

sinθcrit = n₂/n₁ Signup and view all the answers

Study Notes

Motion Formulas

Distance formula: ( d = vt )
Velocity-Acceleration-Time relation: ( V_f = V_0 + at )
Velocity, Acceleration, Displacement: ( V_f^2 = V_0^2 + 2a\Delta x )
Displacement with acceleration: ( \Delta x = V_0t + \frac{1}{2}at^2 )

Force and Energy

Centripetal acceleration and force: ( A_c = \frac{V^2}{r} ), ( F_c = \frac{mv^2}{r} )
Law of Gravitation: ( F = \frac{GM_1M_2}{r^2} )
Newton's Second Law: ( F_{net} = ma )
Kinetic Friction: ( F_k = \mu_k F_n )
Static Friction: ( F_s \leq \mu_s F_n )

Torque and Springs

Torque: ( \tau = F \times r ) or ( \tau = Fl\sin\theta )
Hooke's Law for springs: ( F = -Kx )

Energy Formulas

Kinetic Energy: ( KE = \frac{1}{2}mv^2 )
Gravitational Potential Energy: ( PE = mgh )
Spring Potential Energy: ( PE = \frac{1}{2}Kx^2 )
Power: ( P = \frac{W}{t} )
Work: ( W = Fd\cos\theta )

Momentum

Momentum: ( p = mv )
Conservation of Momentum: ( m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2' )

Electrical Concepts

Ohm's Law: ( P = IV ), ( V = IR )
Current: ( I = \frac{\Delta q}{\Delta t} )
Capacitors in series: ( \frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots )
Capacitors in parallel: ( C_p = C_1 + C_2 + \ldots )
Resistors in series: ( R_s = R_1 + R_2 + \ldots )
Resistors in parallel: ( \frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \ldots )

Electric and Magnetic Forces

Electrostatic Force: ( F = \frac{Kq_1q_2}{r^2} )
Electric Field: ( E = \frac{R}{q_0} )
Capacitance: ( q = VC )
Energy Stored by Capacitor: ( U = \frac{1}{2}CV^2 )
Magnetic Force: ( F = qvB\sin\theta )

Density and Pressure

Density: ( p = \frac{m}{V} )
Pressure: ( P = \frac{F}{A} )
Specific Gravity: ( s.g = \frac{p_{sub}}{p_{water}} )
Buoyant Force: ( F_b = pVg )

Fluid Dynamics

Total Pressure: ( P_{tot} = P_{atm} + P_{gauge} )
Continuity Equation: ( A_1V_1 = A_2V_2 )
Bernoulli's Equation: ( P + \frac{1}{2}pv^2 + pgh = \text{constant} )
Fluid Gauge Pressure: ( P_{fluid} = pgh )

Thermodynamics

Heat Energy: ( \Delta Q = mc\Delta T )
Latent Heat: ( \Delta Q = mL )
First Law of Thermodynamics: ( \Delta U = Q - W )
Internal Energy of Ideal Gas: ( U = \frac{3}{2}nRT )

Chemical Thermodynamics

Gibbs Free Energy: ( \Delta G = \Delta H - T\Delta S )
Equilibrium Gibbs Energy: ( \Delta G^\circ = -RT\ln K_{eq} )

Waves and Oscillations

Frequency and Period: ( f = \frac{1}{T} )
Wave Speed: ( v = f\lambda )
Angular Frequency for springs: ( \omega = 2\pi f = \sqrt{\frac{K}{m}} )
Angular Frequency for pendulums: ( \omega = 2\pi f = \sqrt{\frac{g}{L}} )

Optics

Doppler Effect: ( f' = f \left( \frac{v \pm V_d}{v \pm V_s} \right) )
Index of Refraction: ( n = \frac{c}{v} )
Magnification: ( m = -\frac{i}{o} )
Total Internal Reflection Critical Angle: ( \sin\theta_{crit} = \frac{n_2}{n_1} )

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Test your knowledge of fundamental physics concepts including motion formulas, force, energy, and momentum. This quiz covers essential equations and principles that form the basis of classical mechanics. Challenge yourself to apply these formulas and deepen your understanding of physical interactions!