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O Level Physics Formula Measurements Base SI Units Kg, m, s, A, K, mol Number Prefix n (10-9), µ (10-6), m (10-3), c (10-2), d (10-1), K (103), M (106) Mass SI Unit is Kilogram (kg). Length SI unit is metre (m). Time SI Unit is second (s). Current SI unit is Ampere (A). Temperature SI unit is Kelvin (K). Amount of substance is molar (mol). nano (n), micro (µ), milli (m), centi ©, deci (d), kilo (K), mega (M). Newton’s Laws of Motion Newton’s First Law At equilibrium, the body continues to stay in its state of rest or of ∑F=0 uniform speed as long as no net force and no net torque is acting on the body. Newton’s Second Law F= ma The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Newton’s Third Law For every force object A acts on object B, object B will exert an equal and opposite force on object A. Equations in Motion Average Speed d=distance, s = ∆d / ∆t t= time x = displacement, Average Velocity t= time, v = ∆x/∆t slope of distance-time graph Acceleration A = ∆v/∆t u=initial velocity v = u + at ½at2 x = ut + v2 = u2 + 2ax v = 2𝑔ℎ 1 Forces and Torque Reaction Forces Acting in opposite direction. For example, the ground will give a reaction force that is equivalent to the man’s weight. Force Resolution on Ө is the angle between the Inclined Plane horizontal surface and the inclined plane. Fhorizontal = F cos Ө Fvertical = F sin Ө Moment of Force m=Fd Rotational Balance Anticlockwise Moment = Clockwise Moment Moment m is the product of force F and perpendicular distance from the pivot d. Condition for body in rotational balance Mass, Weight, Density and Pressure Weight w = mg Weight w is the product of mass by gravitational field strength Density Density d is given by the ratio of mass m over volume 𝑚 V. d= 𝑉 Pressure g=gravitational constant=9.81 m/s2 h = height Pressure P is the ratio of force F over area A. 𝐹 P= 𝐴 www.learnwithDAD.com © 2016 Education Haven Pte Ltd. All Rights Reserved. Pressure of liquid column Pressure h is proportional to P = ρgh density ρ, height of column h and gravitational field strength g. O Level Physics Formula Work Done W = Fd Light and Optics Law of Reflection The angle of incident Ө1 is equal to the angle of reflection θ1 =θ2 Ө2. Both are with respect to the perpendicular normal of the surface of the mirror. Work and Energy F= force, d= distance θ= angle between Force & distance Power P= W/t = Fv Kinetic Energy 1 Ek= 2 mv2 t=time m=mass v=velocity Gravitational Energy g=gravity=9.81 m/s2 Ep = mgh h = height Conservation of Energy E 1 = E2 Period 1 T=𝐹 Snell’s Law (refraction) n1sinθ1 =n2sinθ2 The angle of incident Ө1 and angle of refraction Ө2 is with respect to the perpendicular normal of the surface between the two medium. Critical Angle 𝑛 sinθc =𝑛1 The critical angle θc is the angle of incidence beyond which total internal reflection occurs. The index of refraction for the medium in which the incident ray is traveling is n1, the index of refraction for the second medium which the refracted ray is traveling is n2. 2 E1=Energy Before, E2=Energy After Energy cannot be created or destroyed, only transformed or converted into other forms. The total energy of a closed system remains the same. Wave Velocity v=fλ 2 Index of Refraction The higher the index of 𝐶 refraction is for a medium, the n =𝑉 slower is the speed of light v in the medium. c is the speed of light in vacuum. Focal Length of a mirror Waves The velocity of a wave v is the product of its frequency f and wavelength λ. 1 f = 2r Period T is the inverse of frequency f. www.learnwithDAD.com © 2016 Education Haven Pte Ltd. All Rights Reserved. For a spherical mirror, the focal length is half of the radius of curvature. O Level Physics Formula Thermal Energy Thermal Energy & Energy is required to Specific Heat Capacity increase the temperature of E= m s ∆T matter. m is the mass, s is the specific heat capacity and T is the temperature. Energy is required to matter Thermal Energy to change state. & Latent Heat Lfusion is the latent heat of For melting, fusion. E = m Lfusion Lvaporization is the latent heat of vaporization. For boiling, m is the mass. E = m Lvaporization Current I = ∆C / ∆t Ohm’s Law Resistance R=V/I Resistance of a wire R = ρL/A Resistance Series Rtotal = R1 + R2 Resistance Parallel 1 𝑅total 1 Electric Circuits C=Charge t=time V=voltage, R= resistance, I = current ρ = resistivity L = length of wire A = cross sectional area Resistors in series have resistance added up. Resistors in parallel utilizes the reciprocal rule. 1 =𝑅 +𝑅 1 2 Electric Power P = VI = V2/R = I2R Combining ohm’s law the power P can be calculated using any combination of these three equation variations. Electrical Energy E = Pt = VIt Electrical energy can be calculated by the product of power and time. P = Power t = time V=voltage, I = current www.learnwithDAD.com © 2016 Education Haven Pte Ltd. All Rights Reserved. Transformer V𝑝 n𝑝 Vs = ns 3 Electromagnetism The ratio of the voltage Vp and Vs in a transformer is proportional to the ratio of the number of coils np and ns. Right Hand Grip Rule I is the current. B is the magnetic field. Fleming’s Left Hand Rule (Motor Rule) Thumb is for the motion. Index finger is for the magnetic field. Second finger is for the current. Fleming’s Right Hand Rule (Generator) Thumb is for the motion. Index finger is for the magnetic field. Second finger is for the current.