Physics Theme A formulas

SUVAT Equations

v = u+at

s= ut+ (½)at²

v² = u² + 2as

t (time taken to maximum height of projectile)

(u sinθ)/g

Range of Projectile Motion s_x

2tucosθ

Maximum height of projecile

(u²sin²θ)/(2g)

V_{y (vertical velocity)}

usinθ - gt

S_y Vertical displacement

usinθ - gt

Newton’s Second Law

F = v (∆m/∆t) = m (∆v/∆t)

F_N

always perpendicular to the surface of contact

Tension, T

equal in magnitude and opposite in direction to the force exerted

Hooke’s Law

F = -kx until the limit of proportionality is reached

Friction

F_f ≤ µ_sF_N of Ff = µ_dF_N

F_d Drag Force

6πηrv (η=viscosity, v = velocity)

F_b buoyancy force

ρVg (V = volume, ρ = density)

ρ momentum

ρ = mv

∆ ρ

m(v-u) = F∆t

Centripetal acceleration, a

v² / r = ω²r = (4π²r)/T²

linking linear velocity and angular velocity

v = ωr = (2πr)/T

ω

2πf = v/r = 2π/T

T

1/f = (2πr)/v = (2π)/ω

Centripetal force F_c

mv²/r = mω²r = mvw