AP Physics 1 Essential Equations

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Questions and Answers

What is the equation for velocity?

FgΙΙ =mgsinθ

d=½ (Vf+Vo)Δt

V=Δx/Δy (correct)

a=Δv/Δt

What does the equation a=Δv/Δt represent?

Acceleration (correct)

Displacement

Force

Velocity

What is the equation used to find displacement?

d=½ (Vf+Vo)Δt

What is the equation for the force of gravity parallel to a slope?

FgΙΙ =mgsinθ Signup and view all the answers

What is the equation for the force of gravity perpendicular to a slope?

FgPerpendicular=mgcosθ Signup and view all the answers

What does MEo=MEf state?

Conservation of Energy Signup and view all the answers

What is the equation for work done by friction?

Wf=ΔME Signup and view all the answers

What is the equation that relates net work and change in kinetic energy?

Wnet=change in KE Signup and view all the answers

What is the equation for power?

P=ΔE/Δt=W/Δt=Fdcos(θ)/Δt=Fvcos(θ) Signup and view all the answers

What does ΣPo=ΣPf represent?

Conservation of Linear Momentum Signup and view all the answers

What is the equation for angular velocity?

ω=Δθ/Δ t Signup and view all the answers

What does ∝=Δω/Δt represent?

Angular acceleration Signup and view all the answers

What is the equation that relates final and initial angular velocity?

ωf^2=ωo^2+2∝θ Signup and view all the answers

What is the equation for angular displacement?

Δθ=½(ωf+ωo)Δt Signup and view all the answers

What is the equation for tangential velocity?

Vf=rω Signup and view all the answers

What is the equation for velocity in the center of mass of an object?

Vcm=rω Signup and view all the answers

What is the equation ΣF=mac used for?

Sum of forces in circular motion Signup and view all the answers

What is the equation for moment of inertia?

I=∑mr^2 Signup and view all the answers

What does ∑Lo=∑Lf indicate?

Conservation of Angular Momentum Signup and view all the answers

What is the equation for beat frequency?

Fbeat=|F1-F2| Signup and view all the answers

What does q=ne represent?

Net charge Signup and view all the answers

What is the equation for electric potential difference?

Δv=ΔPEelectric/q Signup and view all the answers

Study Notes

Equations for AP Physics 1 Exam

Velocity (v) is calculated using the equation V = Δx / Δt or v = d / t, indicating displacement over time.
Acceleration (a) is determined by a = Δv / Δt or a = d / t, defining the change in velocity over time.
Displacement (d) can be calculated with the equation d = ½(Vf + Vo)Δt, which uses average velocity over a time interval.
The force of gravity in the parallel direction is given by Fg|| = mg sin θ, relating gravitational force and angular displacement.
The perpendicular gravitational force is described by Fg⊥ = mg cos θ, which is crucial for calculating the normal force on inclined planes.
Mechanical energy conservation is represented as MEo = MEf, stating that the original mechanical energy equals final mechanical energy when no work is done by applied forces or friction.
Work due to friction can be calculated using Wf = ΔME, indicating a change in mechanical energy when no applied forces are acting.
Net work done is equal to the change in kinetic energy, represented by Wnet = ΔKE, which is always applicable.
Power (P) can be expressed as P = ΔE / Δt or P = W / Δt or P = Fv cos(θ) / Δt, illustrating energy usage or work done over time.
Conservation of linear momentum is described by ΣPo = ΣPf, applicable when net force on a system equals zero, such as during collisions.
Angular velocity (ω) is described by ω = Δθ / Δt, measuring change in radians over time.
Angular acceleration (α) is defined as α = Δω / Δt, analogous to linear acceleration in its relationship with change over time.
The relationship for angular velocities is given by ωf² = ωo² + 2αθ, akin to the linear motion equations, useful for rotational dynamics.
Angular displacement can be found using Δθ = ½(ωf + ωo)Δt, similar to calculating linear displacement with initial and final velocities.
Tangential velocity (Vf) in circular motion is determined by Vf = rω, linking radius and angular velocity (must be in radians).
The center of mass velocity (Vcm) is Vcm = rω, valid for rolling objects where there is no slipping.
For objects in circular motion, the total force is expressed as ΣF = mac, relating the sum of forces to mass and centripetal acceleration.
Moment of inertia (I) is given by I = Σmr², calculating an object’s resistance to angular acceleration based on its mass distribution.
Conservation of angular momentum is represented by ΣLo = ΣLf, emphasizing that the total angular momentum remains constant if net external torque equals zero.
Beat frequency (Fbeat) is calculated as Fbeat = |F1 - F2| and occurs when two similar frequency sounds combine, creating audible beats.
Electric charge (q) is calculated using q = ne, where n represents the excess number of charges, and e is the elementary charge.
The electric potential difference (Δv) is determined by Δv = ΔPEelectric / q, relating change in electric potential energy to the charge involved.

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Test your knowledge of key equations that are essential for the AP Physics 1 exam but are not included on the equation sheet. This quiz covers fundamental concepts such as velocity, acceleration, displacement, and forces. Perfect for students looking to sharpen their understanding of critical physics equations.