Physics Equations

Question 1

angular speed

Answer 1

ω = ω₀ + α * t

Question 2

angular acceleration

Answer 2

α = Δω / Δt

Question 3

centripetal acceleration

Answer 3

a_c = v² / r

v: velocity
r: radius

Question 4

centripetal force

Answer 4

F_c = m * v² / r

Question 5

kinetic energy

Answer 5

KE = 0.5 * m * v²

Question 6

potential energy

Answer 6

PE = m * g * h
h: height

Question 7

momentum

Answer 7

p = m * v

Question 8

Conservation of Momentum

Answer 8

m₁ * v₁i + m₂ * v₂i = m₁ * v₁f + m₂ * v₂f

m₁, m₂: masses
v₁i, v₂i: initial velocities
v₁f, v₂f: final velocities

Question 9

Gravitational Force of Attraction

Answer 9

F = G * m₁ * m₂ / r²

G: gravitational constant
m₁, m₂: masses
r: distance

Question 10

frequency

Answer 10

f = 1 / T

T: period

Question 11

period

Answer 11

T = 1 / f

Question 12

wave speed

Answer 12

v = f * λ

λ: wavelength

Question 13

wave frequency

Answer 13

f = v / λ

Question 14

index of refraction

Answer 14

n = c / v

c: speed of light in vacuum

Question 15

speed of light in a substance

Answer 15

v = c / n

Question 16

Coulomb’s law

Answer 16

F = k * q₁ * q₂ / r²

k: Coulomb’s constant
q₁, q₂: charges

Question 17

Magnitude of the Electric Field

Answer 17

E = F / q

Question 18

potential difference (voltage)

Answer 18

V = W / q

W: work done

Question 19

average speed

Answer 19

v_avg = Δd / Δt

Δd: total distance
Δt: total time

Question 20

average velocity

Answer 20

v_avg = Δx / Δt

Δx: displacement
Δt: time

Question 21

acceleration

Answer 21

a = Δv / Δt

Δv: change in velocity

Question 22

projectile motion (horizontal motion)

Answer 22

x = v₀x * t

v₀x: initial horizontal velocity
t: time

Question 23

projectile motion (vertical motion)

Answer 23

y = v₀y * t - 0.5 * g * t²

x: horizontal distance
y: vertical height
v₀x: initial horizontal velocity
v₀y: initial vertical velocity
g: acceleration due to gravity
t: time

Question 24

projectile motion (Initial Velocity Components)

Answer 24

v₀x = v₀ * cos(θ)
v₀y = v₀ * sin(θ)

Question 25

projectile motion (time of flight)

Answer 25

t = 2 * v₀y / g

Question 26

projectile motion (maximum height)

Answer 26

h_max = v₀y² / (2 * g)

Question 27

projectile motion (range)

Answer 27

R = v₀² * sin(2θ) / g

Question 28

force

Answer 28

F = m * a

m: mass
a: acceleration

Question 29

angular displacement

Answer 29

θ = ω₀ * t + 0.5 * α * t²

ω₀: initial angular velocity
α: angular acceleration
t: time