# Physics And Maths Formulae Flashcards

Equation relating change in displacement with acceleration, time and original velocity?

Δx = 1/2 at^2 + Vot

Equation relating final velocity, original velocity, acceleration and time?

Vf =Vo +at

Equation relating total displacement with acceleration, time, original velocity and original displacement?

xf =1/2 at^2 + Vot + xo

Equation relating final velocity with acceleration, distance and original velocity?

Vf^2 = Vo^2 + 2ad

Equation relating displacement with time, original and final velocities?

x = (Vo+Vf)/2 x t

Sin0°?

Sin0° = 0

Sin60°?

Sin60° = √3/2

Cos0°?

Cos0° = 1

Cos60°?

Cos60° = ½

Tan0°?

Tan0° = 0

Tan60°?

Tan60° = √3

Equation for centripetal force?

ac = v^2/r

Force of gravity / Newton’s equation?

Fg = Kg m1m2/r^2

Given projectile velocity and angle, what is the equation for the original vertical component of velocity?

Voy = Vo sinθ

Vertical displacement given vertical velocity, time and acceleration of gravity?

y = Voyt + 1/2gt^2

Vertical component of velocity, given original vertical velocity, acceleration of gravity and time elapsed?

Vy =Voy +gt

Given projectile angle and magnitude, what is the horizontal component velocity?

Vox = VoCosθ

Given horizontal velocity and time, what is the horizontal component of displacement?

X = Voxt

Given the original horizontal velocity, what is the horizontal velocity?

Vx = Vox

Given the horizontal and vertical components of velocity in a projectile motion problem, what is the formula for the resolved projectile velocity?

Vo = √(Vox^2 + Voy^2)

Given x and y components of velocity, what formula gives the angle of projectile?

Tanθ = Vox/Voy

Formula for tension in a string?

T = 2 x g x m1m2 / m1+m2

Maximum friction formula?

f = μN

Acceleration in a pulley system problem?

a=F/m

Conservation of momentum in elastic collision?

m1v1 + m2v2 = m1v’ + m2v’’

Conservation of momentum in an inelastic collision?

m1v1 +m2v2 =v’(m1 +m2 )

Formula for momentum?

p = mv

Formula for impulse?

J = Δmv

Formula for kinetic energy?

Ek = 1/2mv^2

Formula for gravitational potential energy?

PE = mgh

Formula for torque force?

L=Fxr

Rotational equilibrium?

ΣCW = ΣCCW

Formula for work?

W=Fxd

How do you calculate the work done on an object by a force which isn’t in the precise direction of the movement?

W = F x d x Cosθ

What is the work energy theorem, what does it mean and when is it used?

W=ΔEk + ΔEp

It means that the work done by a resultant force on a particle is equal to the change in kinetic energy of that particle. It is used when work is done on a system therefore conservation of energy doesn’t apply.

How is the force in a spring calculated?

Fs = -Kx

Total mechanical energy in a system?

Etotal = Ek + Ep

Given the spring constant and displacement, how is the total work done on a spring calculated?

W = ½ Kx^2

What is the formula for Power?

P = ΔW/Δt (rate of doing work)

Given the density of a substance, how is specific gravity calculated?

SG = ρs/ρw

What is pressure?

P=F/A

How does pressure vary with depth?

ΔP = ρgΔh

What is the continuity equation? What is it used for?

ρvA = constant, ρv1A1 + ρv2A2

It shows that the flow is constant throughout a pipe