What is the formula for the electric potential energy between two charges?

U = k(q₁q₂/r), where U is electric potential energy, k is Coulomb's constant, q₁ and q₂ are charges, and r is distance between them.

What is the formula for kinetic energy?

KE = 1/2 mv², where m is mass and v is velocity.

What is the formula for the centripetal acceleration?

a_c = v²/r, where a_c is centripetal acceleration, v is velocity, and r is radius.

What is the formula for the work-energy theorem?

W = ΔKE, where W is work done and ΔKE is the change in kinetic energy.

What is the formula for the change in entropy?

ΔS = Q_rev/T, where ΔS is change in entropy, Q_rev is reversible heat transfer, and T is temperature.

What is the formula for the total resistance in a series circuit?

R_total = R₁ + R₂ + ... + R_n, where R_total is total resistance and R₁, R₂, ..., R_n are individual resistances.

What is the equation for the frequency of a simple harmonic oscillator?

f = 1/(2π)√(k/m), where f is frequency, k is spring constant, and m is mass.

What is the formula for the area of a circle?

A = πr², where A is area and r is the radius.

What is the formula for the frequency of a wave in a medium?

f = v/λ, where f is frequency, v is wave speed in the medium, and λ is wavelength.

What is the formula for the pressure in a fluid?

P = F/A, where P is pressure, F is force, and A is area.

What is the formula for the total energy in a system?

E_total = KE + PE + U, where U is internal energy.

What is the formula for the speed of a wave on a string?

v = √(T/μ), where v is wave speed, T is tension, and μ is linear mass density.

What is the equation for the electric field due to a point charge?

E = k(q/r²), where E is electric field, k is Coulomb's constant, q is charge, and r is distance from the charge.

What is the equation for the buoyant force?

F_b = ρVg, where F_b is buoyant force, ρ is fluid density, V is volume displaced, and g is acceleration due to gravity.

What is the equation for electric power?

P = IV, where P is power, I is current, and V is voltage.

What is the principle of conservation of energy?

Energy cannot be created or destroyed, only transformed from one form to another.

What is the equation for the force on a charged particle in a magnetic field?

F = q(v × B), where F is force, q is charge, v is velocity, and B is magnetic field.

What does the variable 'g' represent in physics equations?

'g' represents the acceleration due to gravity, approximately 9.81 m/s² on Earth.

What is the equation for the conservation of charge?

The total charge before an interaction equals the total charge after the interaction.

What is the equation for the angular momentum of a rotating object?

L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.

What is the equation for the Doppler effect?

f' = f(v ± vo)/(v ∓ vs), where f' is observed frequency, f is source frequency, vo is observer speed, vs is source speed, and v is wave speed.

What is the equation for the total resistance in a parallel circuit?

1/R_total = 1/R₁ + 1/R₂ + ... + 1/R_n.

What is the formula for the frequency of a wave?

f = v/λ, where f is frequency, v is wave speed, and λ is wavelength.

What is the equation for the energy of a photon?

E = hf, where E is energy, h is Planck's constant, and f is frequency.

What is the equation for the ideal mechanical advantage of a lever?

IMA = d_input/d_output, where IMA is ideal mechanical advantage, d_input is distance from the fulcrum to the input force, and d_output is distance to the output force.

What is the equation for the period of a simple pendulum?

T = 2π√(L/g), where T is period, L is length, and g is acceleration due to gravity.

What is the formula for the total mechanical energy in a conservative system?

E_total = KE + PE, where E_total is total mechanical energy, KE is kinetic energy, and PE is potential energy.

What is the equation for the work done by a gas during expansion?

W = PΔV, where W is work, P is pressure, and ΔV is change in volume.

What is the formula for the energy stored in a capacitor?

U = 1/2 CV², where U is energy, C is capacitance, and V is voltage.

What is the formula for the gravitational force between two masses?

F = G(m₁m₂/r²), where F is force, G is the gravitational constant, m₁ and m₂ are masses, and r is the distance between their centers.

V = IR, where V is voltage, I is current, and R is resistance.

What is the equation for the critical angle in total internal reflection?

sin(θ_c) = n₂/n₁, where θ_c is the critical angle, n₁ is the refractive index of the first medium, and n₂ is the refractive index of the second medium.

How do you calculate potential energy in a gravitational field?

PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.

What does the variable 'R' represent in the ideal gas law?

'R' is the universal gas constant, approximately 0.0821 L·atm/(K·mol).

What is the equation for the volume of a cylinder?

V = πr²h, where V is volume, r is radius, and h is height.

What is the formula for the change in pressure in a fluid?

ΔP = ρgh, where ΔP is change in pressure, ρ is fluid density, g is acceleration due to gravity, and h is height difference.

What is the formula for the ideal gas law?

PV = nRT, where P is pressure, V is volume, n is number of moles, R is the gas constant, and T is temperature.

What is the equation for Newton's second law of motion?

F = ma, where F is force, m is mass, and a is acceleration.

What is the equation for the harmonic frequency of a string fixed at both ends?

f_n = n(v/2L), where f_n is the frequency of the nth harmonic, n is the harmonic number, v is wave speed, and L is length of the string.

What is the equation for the heat transfer in a substance?

Q = mcΔT, where Q is heat transfer, m is mass, c is specific heat capacity, and ΔT is change in temperature.

What is the formula for the moment of inertia of a solid cylinder?

I = 1/2 m r², where I is moment of inertia, m is mass, and r is radius.

What is the formula for the wavelength of a standing wave on a string?

λ = 2L/n, where λ is wavelength, L is length of the string, and n is the harmonic number.

What is the equation for work done by a constant force?

W = Fd cos(θ), where W is work, F is force, d is displacement, and θ is the angle between force and displacement.

What is the equation for the conservation of momentum?

p_initial = p_final, where p is momentum (p = mv).

What is the equation for the acceleration of an object in free fall?

a = g, where a is acceleration and g is the acceleration due to gravity (approximately 9.81 m/s²).

What is the equation for the frequency of light?

f = c/λ, where f is frequency, c is the speed of light, and λ is wavelength.

What is the formula for the efficiency of a machine?

Efficiency = (Useful work output / Total work input) × 100%.

MCAT Equation Sheet Mastery

Quick recall and application strategies for equations provided on the MCAT equation sheet, including units and common applications

Level: basic
Languages: en → en
Cards: 48
Markdown: MCAT Equation Sheet Mastery (.md)

Flashcards (48)

#	Front (Term / Question)	Back (Definition / Answer)
1	What is the formula for the electric potential energy between two charges?	U = k(q₁q₂/r), where U is electric potential energy, k is Coulomb's constant, q₁ and q₂ are charges, and r is distance between them.
2	What is the formula for kinetic energy?	KE = 1/2 mv², where m is mass and v is velocity.
3	What is the formula for the centripetal acceleration?	a_c = v²/r, where a_c is centripetal acceleration, v is velocity, and r is radius.
4	What is the formula for the work-energy theorem?	W = ΔKE, where W is work done and ΔKE is the change in kinetic energy.
5	What is the formula for the change in entropy?	ΔS = Q_rev/T, where ΔS is change in entropy, Q_rev is reversible heat transfer, and T is temperature.
6	What is the formula for the total resistance in a series circuit?	R_total = R₁ + R₂ + ... + R_n, where R_total is total resistance and R₁, R₂, ..., R_n are individual resistances.
7	What is the equation for the frequency of a simple harmonic oscillator?	f = 1/(2π)√(k/m), where f is frequency, k is spring constant, and m is mass.
8	What is the formula for the area of a circle?	A = πr², where A is area and r is the radius.
9	What is the formula for the frequency of a wave in a medium?	f = v/λ, where f is frequency, v is wave speed in the medium, and λ is wavelength.
10	What is the formula for the pressure in a fluid?	P = F/A, where P is pressure, F is force, and A is area.
11	What is the formula for the total energy in a system?	E_total = KE + PE + U, where U is internal energy.
12	What is the formula for the speed of a wave on a string?	v = √(T/μ), where v is wave speed, T is tension, and μ is linear mass density.
13	What is the equation for the electric field due to a point charge?	E = k(q/r²), where E is electric field, k is Coulomb's constant, q is charge, and r is distance from the charge.
14	What is the equation for the buoyant force?	F_b = ρVg, where F_b is buoyant force, ρ is fluid density, V is volume displaced, and g is acceleration due to gravity.
15	What is the equation for electric power?	P = IV, where P is power, I is current, and V is voltage.
16	What is the principle of conservation of energy?	Energy cannot be created or destroyed, only transformed from one form to another.
17	What is the equation for the force on a charged particle in a magnetic field?	F = q(v × B), where F is force, q is charge, v is velocity, and B is magnetic field.
18	What does the variable 'g' represent in physics equations?	'g' represents the acceleration due to gravity, approximately 9.81 m/s² on Earth.
19	What is the equation for the conservation of charge?	The total charge before an interaction equals the total charge after the interaction.
20	What is the equation for the angular momentum of a rotating object?	L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity.
21	What is the equation for the Doppler effect?	f' = f(v ± vo)/(v ∓ vs), where f' is observed frequency, f is source frequency, vo is observer speed, vs is source speed, and v is wave speed.
22	What is the equation for the total resistance in a parallel circuit?	1/R_total = 1/R₁ + 1/R₂ + ... + 1/R_n.
23	What is the formula for the frequency of a wave?	f = v/λ, where f is frequency, v is wave speed, and λ is wavelength.
24	What is the equation for the energy of a photon?	E = hf, where E is energy, h is Planck's constant, and f is frequency.
25	What is the formula for the speed of light in a vacuum?	c = 3.00 × 10⁸ m/s.
26	What is the equation for the ideal mechanical advantage of a lever?	IMA = d_input/d_output, where IMA is ideal mechanical advantage, d_input is distance from the fulcrum to the input force, and d_output is distance to the output force.
27	What is the equation for the period of a simple pendulum?	T = 2π√(L/g), where T is period, L is length, and g is acceleration due to gravity.
28	What is the formula for the total mechanical energy in a conservative system?	E_total = KE + PE, where E_total is total mechanical energy, KE is kinetic energy, and PE is potential energy.
29	What is the equation for the work done by a gas during expansion?	W = PΔV, where W is work, P is pressure, and ΔV is change in volume.
30	What is the formula for the energy stored in a capacitor?	U = 1/2 CV², where U is energy, C is capacitance, and V is voltage.
31	What is the formula for the gravitational force between two masses?	F = G(m₁m₂/r²), where F is force, G is the gravitational constant, m₁ and m₂ are masses, and r is the distance between their centers.
32	What is Ohm's Law?	V = IR, where V is voltage, I is current, and R is resistance.
33	What is the equation for the critical angle in total internal reflection?	sin(θ_c) = n₂/n₁, where θ_c is the critical angle, n₁ is the refractive index of the first medium, and n₂ is the refractive index of the second medium.
34	How do you calculate potential energy in a gravitational field?	PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.
35	What does the variable 'R' represent in the ideal gas law?	'R' is the universal gas constant, approximately 0.0821 L·atm/(K·mol).
36	What is the equation for the volume of a cylinder?	V = πr²h, where V is volume, r is radius, and h is height.
37	What is the formula for the change in pressure in a fluid?	ΔP = ρgh, where ΔP is change in pressure, ρ is fluid density, g is acceleration due to gravity, and h is height difference.
38	What is the formula for the ideal gas law?	PV = nRT, where P is pressure, V is volume, n is number of moles, R is the gas constant, and T is temperature.
39	What is the equation for Newton's second law of motion?	F = ma, where F is force, m is mass, and a is acceleration.
40	What is the equation for the harmonic frequency of a string fixed at both ends?	f_n = n(v/2L), where f_n is the frequency of the nth harmonic, n is the harmonic number, v is wave speed, and L is length of the string.
41	What is the equation for the heat transfer in a substance?	Q = mcΔT, where Q is heat transfer, m is mass, c is specific heat capacity, and ΔT is change in temperature.
42	What is the formula for the moment of inertia of a solid cylinder?	I = 1/2 m r², where I is moment of inertia, m is mass, and r is radius.
43	What is the formula for the wavelength of a standing wave on a string?	λ = 2L/n, where λ is wavelength, L is length of the string, and n is the harmonic number.
44	What is the equation for work done by a constant force?	W = Fd cos(θ), where W is work, F is force, d is displacement, and θ is the angle between force and displacement.
45	What is the equation for the conservation of momentum?	p_initial = p_final, where p is momentum (p = mv).
46	What is the equation for the acceleration of an object in free fall?	a = g, where a is acceleration and g is the acceleration due to gravity (approximately 9.81 m/s²).
47	What is the equation for the frequency of light?	f = c/λ, where f is frequency, c is the speed of light, and λ is wavelength.
48	What is the formula for the efficiency of a machine?	Efficiency = (Useful work output / Total work input) × 100%.