Essential Formulae Flashcards
force (using acceleration)
F = m*a F = force (N) m = mass (kg) a = acceleration (m s-2)
Young’s modulus (using force and extension)
E = (F*L)/(A*x) E = Young's modulus (N m-2) F = force (N) L = original length (m) A = area (m2) x = extension (m)
potential difference (using current and resistance)
V = IR V = potential difference (V) I = current (A) R = resistance (Ω)
wavelength (using diffraction grating)
n*λ = d*sin(𝜃) n = order of the maximum (no unit) λ = wavelength (m) d = slit separation (m) 𝜃 = angle between normal to the grating and the beam of light (°)
force (using acceleration due to gravity)
F = m*g F = force (N) m = mass (kg) g = acceleration due to gravity (9.81 m s-2)
thinking distance
thinking distance (m) = reaction time (s) * velocity of the car (m s-1)
relationship between braking distance and velocity
braking distance ∝ (velocity)^2
stopping distance
stopping distance = thinking distance + braking distance
thermal energy
E = m*c*ΔT E = thermal energy (J) m = mass (kg) c = specific heat capacity (J kg °C-1) ΔT = change in temperature (K or °C)
nuclear energy
E = m*c^2 E = nuclear energy (J) m = mass (kg) c = speed of light in a vacuum (3.00 * 10^8 m s-1)
weight (using acceleration due to gravity)
w = m*g w = weight (N) m = mass (kg) g = acceleration due to gravity (m s-2)
gravitational potential energy
GPE = m*g*Δh m = mass (kg) g = acceleration due to gravity (m s-2) Δh = change in height (m)
relationship between gravitational potential energy and kinetic energy
kinetic energy (J) ↓ , gravitational potential energy (J) ↑ kinetic energy (J) ↑ , gravitational potential energy (J) ↓
relationship between intensity and amplitude
intensity (W m-2) ∝ (amplitude (m))^2
energy (using power)
E = P*t E = energy (J) P = power (W) t = time (s)
impulse
I = F*Δt I = impulse (N s) F = force (N) Δt = change in time (s)
power (using force and distance)
P = (F*d)/t P = power (W) F = force (N) d = distance (m) t = time (s)
work done (using force and distance)
W = F*d W = work done (J) F = force (N) d = distance (m) this is the same as W = F*d*cos(θ) but θ is 0° so cos(θ) = 1