AP Physics 1 Formula Sheet Quiz

Questions and Answers

What is the 1st kinematic equation?

a = ∑F/m = Fnet/m

x = x₀ + v₀t + ½at²

v² = v₀² + 2a(∆x)

v = v₀ + at (correct)

Which equation represents the 2nd kinematic equation?

|Ff| = µ|Fn|

v² = v₀² + 2a(∆x)

a = ∑F/m = Fnet/m

x = x₀ + v₀t + ½at² (correct)

Identify the 3rd kinematic equation:

x = x₀ + v₀t + ½at²

p = mv

v² = v₀² + 2a(∆x) (correct)

v = v₀ + at

What does Newton's 2nd Law expressed as a = ∑F/m indicate?

Acceleration is proportional to the net force acting on an object divided by its mass. Signup and view all the answers

What does the equation |Ff| = µ|Fn| represent?

Force of friction Signup and view all the answers

Which formula corresponds to centripetal acceleration?

a = v²/r Signup and view all the answers

Define linear momentum.

p = mv Signup and view all the answers

What does the Impulse Momentum Theorem state?

Impulse equals the change in momentum. Signup and view all the answers

What is the formula for kinetic energy?

K = ½mv² Signup and view all the answers

What does the Work Energy Theorem express?

∆E = W = Fd = Fdcos(θ) Signup and view all the answers

What is the formula for power?

P = ∆E/∆t Signup and view all the answers

What does Hooke's Law express?

|Fs| = k|x| Signup and view all the answers

How is potential energy of a spring defined?

Us = ½kx² Signup and view all the answers

What does the equation ∆Ug = mg∆y represent?

Gravitational potential energy near a planet surface Signup and view all the answers

What describes the gravitational force between two massive objects?

|Fg| = Gm₁m₂/r² Signup and view all the answers

Which equation represents the 1st angular kinematic equation?

θ = θ₀ + ω₀t + ½αt² Signup and view all the answers

Identify the equation for the 2nd angular kinematic equation:

ω = ω₀ + αt Signup and view all the answers

What does Newton's second law for rotation express?

α = ∑τ/I = τnet/I Signup and view all the answers

What formula represents torque?

τ = rF = rFsinθ Signup and view all the answers

Which equation defines angular momentum?

L = Iω Signup and view all the answers

What is the equation for angular impulse momentum?

∆L = τ∆t Signup and view all the answers

Define rotational kinetic energy.

K = ½Iω² Signup and view all the answers

What is the formula for the period in terms of angular frequency?

T = (2π)/ω = 1/f Signup and view all the answers

What does the equation Ts = 2π√(m/k) represent?

Period of a spring Signup and view all the answers

Identify the formula for the period of a pendulum.

Tp = 2π√(l/g) Signup and view all the answers

What describes the position of an object in SHM as a function of time?

x = Acos(2πft) Signup and view all the answers

Define the gravitational potential energy between two masses.

Ug = (-Gm₁m₂)/r Signup and view all the answers

What is the equation for density?

ρ = m/V Signup and view all the answers

How is gravitational field acceleration defined?

g = Fg/m Signup and view all the answers

Study Notes

Kinematic Equations

The 1st kinematic equation expresses final velocity as a function of initial velocity, acceleration, and time: v = v₀ + at.
The 2nd kinematic equation describes displacement in terms of initial velocity, time, acceleration, and provides a means to calculate distance traveled: x = x₀ + v₀t + ½at².
The 3rd kinematic equation relates final velocity, initial velocity, acceleration, and displacement, useful for calculating velocity changes: v² = v₀² + 2a(∆x).

Newton’s Laws and Forces

Newton's 2nd Law, solving for acceleration, is represented by: a = ∑F/m = Fnet/m, illustrating the relationship between net force, mass, and acceleration.
The force of friction is defined by the equation: |Ff| = µ|Fn|, where the frictional force is proportional to the normal force and the coefficient of friction.

Circular Motion

Centripetal acceleration, necessary for objects moving in a circle, is given by: a = v²/r, linking the speed of the object, radius, and acceleration.

Momentum

Linear momentum is determined by the product of mass and velocity: p = mv.
The Impulse Momentum Theorem states that the change in momentum is equal to the force applied multiplied by the time duration: ∆p = F∆t.

Energy Definitions

Kinetic energy (translational) is calculated with the formula: K = ½mv², indicating the energy an object possesses due to its motion.
The Work Energy Theorem relates work done to energy change: ∆E = W = Fd = Fdcos(θ), linking force, distance, and angle of application.
Power is defined as the rate of energy change over time: P = ∆E/∆t.

Spring and Gravitational Energy

Hooke's Law describes the force exerted by a spring: |Fs| = k|x|, where k is the spring constant and x is the displacement from equilibrium.
The potential energy stored in a spring is given by: Us = ½kx².
Gravitational potential energy near the surface of a planet is calculated as: ∆Ug = mg∆y, where m is mass, g is gravitational acceleration, and ∆y is the change in height.

Gravitational Forces

The gravitational force between two masses is quantified by: |Fg| = Gm₁m₂/r², where G is the gravitational constant, m₁ and m₂ are masses, and r is the distance between centers.

Rotational Motion

The 1st angular kinematic equation relates angular position, initial angular position, angular velocity, and angular acceleration: θ = θ₀ + ω₀t + ½αt².
The 2nd angular kinematic equation relates final angular velocity to initial velocity and angular acceleration: ω = ω₀ + αt.
Newton's second law for rotation, solved for angular acceleration, is: α = ∑τ/I = τnet/I, where τ is torque and I is moment of inertia.
Torque is defined as: τ = rF = rFsinθ, illustrating its dependence on radius, force, and the angle between the force and radius vector.

Angular Momentum and Energy

Angular momentum is defined as the product of moment of inertia and angular velocity: L = Iω.
The Angular Impulse Momentum Theorem states the change in angular momentum equals torque multiplied by time: ∆L = τ∆t.
Rotational kinetic energy is calculated using: K = ½Iω².

Oscillations and Frequency

The period of a wave is expressed in terms of angular frequency: T = (2π)/ω = 1/f, connecting the concepts of frequency and time.
The period of a spring is given by: Ts = 2π√(m/k).
The period of a pendulum is defined as: Tp = 2π√(l/g), where l is the length of the pendulum and g is gravitational acceleration.

Simple Harmonic Motion

The position of an object in Simple Harmonic Motion (SHM) is described by: x = Acos(2πft), where A is the amplitude and f is frequency.

Gravitational Potential Energy Between Masses

Gravitational potential energy between two masses is calculated with the formula: Ug = (-Gm₁m₂)/r, highlighting the negative potential associated with gravitational interactions.

Density and Gravitational Field

Density is defined as mass divided by volume: ρ = m/V.
The gravitational field strength (acceleration due to gravity) is given by: g = Fg/m, where Fg is the gravitational force acting on a mass m.

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Description

Test your knowledge of essential formulas in AP Physics 1 with this quiz. Each question focuses on key equations, including kinematic and Newton's laws. Whether you're studying for an exam or just refreshing your memory, this quiz will help solidify your understanding of these concepts.