🧪 Physics Formulas

Newton's Second Law

F = m × a

Solve for: F, m, a

Kinetic Energy

KE = ½mv²

Solve for: KE, m, v

Gravitational Potential Energy

PE = mgh

Solve for: PE, m, h

Work

W = Fd cos(θ)

Solve for: W, F, d

Power (Physics)

P = W/t

Solve for: P, W, t

Momentum

p = mv

Solve for: p, m, v

Density

ρ = m/V

Solve for: rho, m, V

Velocity

v = d/t

Solve for: v, d, t

Acceleration

a = Δv/t

Solve for: a, delta_v, t

Pressure

P = F/A

Solve for: P, F, A

Centripetal Acceleration

a_c = v²/r

Solve for: a_c, v, r

Impulse-Momentum Theorem

J = FΔt = Δp

Solve for: J, F, delta_t

Hooke's Law

F = kx

Solve for: F, k, x

Torque

τ = r × F × sin(θ)

Solve for: tau, r, F

Angular Velocity

ω = θ/t

Solve for: omega, theta, t

Angular Acceleration

α = Δω/t

Solve for: alpha, delta_omega, t

Rotational Kinetic Energy

KE_rot = ½Iω²

Solve for: KE_rot, I, omega

Angular Momentum

L = I × ω

Solve for: L, I, omega

Moment of Inertia - Rod

I = (1/12)mL²

Solve for: I, m, L

Pendulum Period

T = 2π√(L/g)

Solve for: T, L

Spring Period

T = 2π√(m/k)

Solve for: T, m, k

SHM Frequency

f = 1/T

Solve for: f, T

SHM Maximum Velocity

v_max = Aω

Solve for: v_max, A, omega

Projectile Range

R = v²sin(2θ)/g

Solve for: R, v

Projectile Maximum Height

H = v²sin²(θ)/(2g)

Solve for: H, v

Projectile Time of Flight

t = 2v sin(θ)/g

Solve for: t, v

Centripetal Force

F_c = mv²/r

Solve for: F_c, m, v, r

Period of Circular Motion

T = 2πr/v

Solve for: T, r, v

Frequency of Circular Motion

f = v/(2πr)

Solve for: f, v, r

Mechanical Energy

E = KE + PE

Solve for: E, KE, PE

Power from Energy

P = E/t

Solve for: P, E, t

Elastic Collision Velocity

v1_f = ((m1-m2)v1_i + 2m2*v2_i)/(m1+m2)

Solve for: v1_f

Conservation of Momentum (2-body)

m1*v1_i + m2*v2_i = m1*v1_f + m2*v2_f

Solve for: v2_f, v1_f

Friction Force

f = μN

Solve for: f, mu, N

Friction on Incline

f = μ*m*g*cos(θ)

Solve for: f, mu, m

Buoyant Force

F_b = ρVg

Solve for: F_b, rho, V

Continuity Equation

A1*v1 = A2*v2

Solve for: v2, v1, A1, A2

Fluid Pressure at Depth

P = P0 + ρgh

Solve for: P, h

Orbital Velocity

v = √(GM/r)

Solve for: v, M, r

Escape Velocity

v_e = √(2GM/r)

Solve for: v_e, M, r