AP Physics 1 Equations Overview

Questions and Answers

What is the equation for calculating the final velocity 'v' of a motion?

v = vo + at (correct)

F = ma

v^2 = vo^2 + 2a(x - xo)

v = fx

What does the equation for position 'x' depend on?

Initial position (xo)

Initial velocity (vo)

Acceleration (a)

All of the above (correct)

How is the square of the final velocity 'v^2' calculated?

v^2 = vo x t

v^2 = vo^2 + 2a(x - xo) (correct)

v^2 = v x t

v^2 = vo^2 + a

What does Newton's Second Law calculate?

Net force on an object Signup and view all the answers

How can friction force be calculated?

F_f = mu * FN Signup and view all the answers

What is centripetal acceleration based on?

Radius of the turn and speed Signup and view all the answers

How is momentum defined?

p = m * v Signup and view all the answers

How is impulse 'J' calculated?

Both A and B Signup and view all the answers

What does the kinetic energy equation calculate?

K = 1/2 mv^2 Signup and view all the answers

How is work 'W' calculated?

All of the above Signup and view all the answers

What is power 'P' based on?

Both A and C Signup and view all the answers

What equation calculates the rotational position 'theta'?

theta = theta_0 + omega_0 t + 1/2 alpha t^2 Signup and view all the answers

How is rotational speed 'omega' calculated?

omega = omega_0 + alpha t Signup and view all the answers

What is the equation for oscillation position 'x'?

x = A sin(2 pi f t) Signup and view all the answers

How is rotational acceleration 'alpha' calculated?

alpha = tau / I Signup and view all the answers

What is torque 'tau' calculated from?

Both A and B Signup and view all the answers

What equation describes rotational momentum?

L = I * omega Signup and view all the answers

How is the change in rotational momentum 'delta L' calculated?

delta L = tau * delta t Signup and view all the answers

What equation calculates rotational kinetic energy 'K'?

K = 1/2 I omega^2 Signup and view all the answers

How is spring force calculated?

F_s = kx Signup and view all the answers

How do you calculate the elastic potential energy 'E' of a spring?

E = 1/2 kx^2 Signup and view all the answers

How is density 'rho' calculated?

rho = m / V Signup and view all the answers

What does gravitational potential energy 'delta Ug' calculate?

delta Ug = mgh Signup and view all the answers

How is the period of oscillation calculated from frequency?

T = 1/f Signup and view all the answers

The period of a mass attached to a spring is based on what factors?

Mass (m) and spring stiffness (k) Signup and view all the answers

How is the period of a pendulum calculated?

T = 2pi * sqrt(l/g) Signup and view all the answers

How do you calculate the force of gravity between two masses?

F_G = G * (m1 * m2) / r^2 Signup and view all the answers

How is weight 'F_g' related to mass and gravity?

F_g = m * g Signup and view all the answers

What is the equation for gravitational potential energy between two masses?

U = -G (m1 * m2) / r Signup and view all the answers

How do you calculate the electric force of attraction between charged objects?

F_E = k * (q1 * q2) / r^2 Signup and view all the answers

How is electric current 'I' calculated?

I = delta q / delta t Signup and view all the answers

How is electrical resistance 'R' calculated?

R = rho * (l / A) Signup and view all the answers

What does Ohm's Law calculate?

I = delta V / R Signup and view all the answers

How is electrical power 'P' calculated?

P = I * V Signup and view all the answers

How is total equivalent resistance calculated for resistors in series?

R_total = R1 + R2 + R3 + ... Signup and view all the answers

How is total equivalent resistance calculated for resistors in parallel?

R_total = 1 / (1/R1 + 1/R2 + ...) Signup and view all the answers

How is the wavelength of a wave calculated?

lambda = v / f Signup and view all the answers

Study Notes

Final Velocity

Calculates final velocity "v" from initial velocity "vo", constant acceleration "a", and time "t".

Position

Determines final position "x" using initial position "xo", initial velocity "vo", acceleration "a", and time "t".

Final Velocity Squared

Computes final velocity squared "v^2" using initial velocity squared "vo^2", acceleration, and displacement.

Newton's Second Law

Calculates net force "F" acting on an object based on mass "m" and acceleration "a".

Friction

Determines force of static or kinetic friction using coefficient of friction "mu" and normal force "FN".

Centripetal Acceleration

Calculates centripetal acceleration based on object's speed "v" and radius of the turn "r".

Momentum

Computes an object's momentum "p" using mass "m" and velocity "v".

Impulse

Represents impulse "J" as the change in momentum "delta p", equal to the product of force "F" and duration "delta t".

Kinetic Energy

Calculates kinetic energy "K" using mass "m" and the square of speed "v^2".

Work

Determines work "W" as the change in energy "delta E" or as the product of force "F" and displacement "delta d", including angle "theta" for non-aligned forces.

Power

Computes power "P" from the change in energy "delta E" and time "delta t".

Rotational Position

Calculates rotational position "theta" using initial position "theta naught", initial rotational velocity "omega naught", rotational acceleration "alpha", and time "t".

Rotational Speed

Determines final rotational speed "omega" based on initial speed "omega naught", rotational acceleration "alpha", and time "t".

Oscillation Position

Computes position of an oscillating object "x" using amplitude "A", frequency "f", and time "t".

Rotational Acceleration

Calculates rotational acceleration "alpha" using total torque "sigma tau" and rotational inertia "I".

Torque

Computes torque "tau" as product of force "F" and distance "r" from an axis, accounting for angle "theta" if not perpendicular.

Rotational Momentum

Determines rotational momentum based on rotational inertia "I" and rotational speed "omega".

Change in Rotational Momentum

Calculates change in rotational momentum "delta L" using total torque "tau" and duration "delta t".

Rotational Kinetic Energy

Computes rotational kinetic energy "K" using rotational inertia "I" and rotational speed "omega".

Spring Force

Determines spring force based on stiffness constant "k" and displacement "x".

Elastic Potential Energy

Calculates energy "E" stored in a spring using stiffness "k" and displacement "x".

Density

Computes density "rho" based on mass "m" and volume "V".

Gravitational Potential Energy

Calculates gravitational potential energy "delta Ug" near a planet's surface using mass "m", gravitational acceleration "g", and height "delta y".

Period Frequency

Computes period of oscillation as the inverse of rotational speed "omega" or frequency "f".

Period of Mass on Spring

Determines period of mass oscillating on a spring using mass "m" and spring stiffness "k".

Period of a Pendulum

Computes period of a pendulum using its length "l" and gravitational acceleration "g".

Universal Gravitation

Calculates gravitational force "FG" between masses "m1" and "m2" at a distance "r".

Mass Weight

Determines gravitational force, or weight "Fg", using mass "m" and gravitational acceleration "g".

Gravitational Potential Energy 2

Computes gravitational potential energy "U" for two masses "m1" and "m2" at distance "r".

Coulombic Force

Calculates electric force "FE" between two charges "q1" and "q2" at distance "r".

Electric Current

Computes electric current "I" based on charge "delta q" and time "delta t".

Electrical Resistance

Determines electrical resistance "R" based on resistivity "rho", length "l", and cross-sectional area "A".

Ohm's Law

Calculates electrical current "I" using voltage "delta V" and resistance "R".

Electrical Power

Computes electrical power "P" using current "I" and voltage "V".

Series Resistance

Calculates total equivalent resistance "R" for resistors in series.

Parallel Resistance

Computes total equivalent resistance "R" for resistors in parallel.

Wavelength

Determines wavelength "lambda" based on wave speed "v" and frequency "f".

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Description

This quiz covers essential equations related to motion in AP Physics 1. It includes calculations for final velocity and position based on initial conditions and constant acceleration. Test your understanding of these fundamental concepts to excel in physics.