AP Physics 1 Exam Cram: Full Curriculum in 30 Minutes

Mr. P introduces the video as a concise review of the AP Physics 1 curriculum, distilling over 3.5 hours of content into 30 minutes for a quick refresher before the exam. He states that he will not be asking or answering questions to maximize review time. He also mentions resources available for purchase, such as the AP Physics 1 Ultimate Exam Slayer and the Ultimate Review Packet, both linked in the description.

This section covers fundamental concepts like vectors (magnitude and direction) vs. scalars (magnitude only), distance vs. displacement, average velocity and acceleration (both vectors). It differentiates between instantaneous and average measurements. The uniformly accelerated motion (UAM) equations are introduced for constant acceleration, along with interpreting position-time, velocity-time, and acceleration-time graphs. Vector resolution and projectile motion (using 10 m/s² for AP exams) are also discussed, emphasizing constant acceleration in the y-direction and zero acceleration in the x-direction. Relative motion and vector addition conclude the unit.

Begins with the concept of the center of mass. It defines forces as vectors resulting from interactions and explains Free Body Diagrams, emphasizing proper representation of forces (perpendicular normal force, parallel tension). Newton's Laws of Motion are detailed: First Law (Inertia), Second Law (Net Force = mass × acceleration), and Third Law (action-reaction pairs). The gravitational force (F = mg and Newton's Universal Law of Gravitation) and frictional forces (kinetic and static, independent of surface area) are explained. Ideal spring forces (Hooke’s Law) are also covered, highlighting the restoring nature of the force. Finally, tangential velocity, centripetal acceleration, period, frequency, and centripetal force in circular motion are reviewed.

This unit introduces translational kinetic energy and defines work as mechanical energy transfer, dependent on force, displacement, and the angle between them. It distinguishes between conservative (path-independent, e.g., gravity, spring) and nonconservative forces (path-dependent, e.g., friction, air resistance). Three types of mechanical energy are outlined: kinetic, gravitational potential, and elastic potential, with equations for each. The concept of potential energy being stored and dependent on the system's objects is stressed. The law of conservation of mechanical energy and the work-energy principle are discussed, along with the importance of defining initial/final points and horizontal zero lines. Finally, power is defined as the rate of energy change, with equations for average and instantaneous power.

Linear momentum is defined as a vector quantity (mass × velocity). The unit focuses on its conservation in collisions and explosions, where net external forces are negligible compared to internal forces. Newton's Second Law in terms of momentum (net force = change in momentum / change in time) is presented. Impulse is introduced as change in momentum, also calculated as force × time or the area under a force-time graph. The conservation of momentum in a system with zero net external force is emphasized, leading to a constant velocity of the center of mass. Different types of collisions (elastic, inelastic, perfectly inelastic) are explained, highlighting that in AP Physics 1, linear momentum is conserved in all collisions due to negligible net external forces.

This section covers angular displacement (in radians), average angular velocity, and average angular acceleration. It introduces uniformly angularly accelerated motion (UAM equations for rotation) and the interpretation of angular position, velocity, and acceleration graphs. Relationships between linear and rotational variables (arc length, tangential velocity, tangential acceleration) are provided, emphasizing the need for radians. Centripetal acceleration's different forms and its role in circular motion are discussed, differentiating it from tangential and angular acceleration. Torque (ability of a force to cause angular acceleration) is defined, along with the lever arm. Rotational inertia (resistance to angular acceleration) for point particles and systems is explained, including the Parallel Axis Theorem. Newton's Laws in rotational form (First Law of Rotational Motion, Second Law: net torque = rotational inertia × angular acceleration) are presented, leading to the concept of static equilibrium.

This unit covers rotational kinetic energy (1/2 Iω²). The total kinetic energy of a rigid object is the sum of its translational and rotational kinetic energies. Work done by a torque is defined as torque × angular displacement or the area under a torque-angular position graph. Angular momentum for rigid objects (Iω) and point particles (r × m × v × sinθ) is explained as a vector, with direction indicated by clockwise/counterclockwise. Another rotational form of Newton's Second Law (net torque = change in angular momentum / change in time) and angular impulse are discussed. The conservation of angular momentum when net torque is zero is highlighted. Rolling without slipping is compared to circular motion, and the kinetic energy involved. Orbital mechanics are briefly touched upon, distinguishing between circular and elliptical orbits and the conservation of energy and angular momentum.

Defines periodic motion and Simple Harmonic Motion (SHM) as periodic motion caused by a restoring force proportional to displacement from equilibrium. Key terms like equilibrium position, restoring force (always towards equilibrium), period (time for one cycle), and amplitude (maximum displacement) are explained. The motion of a horizontal mass-spring system through various positions is analyzed in terms of displacement, velocity, spring force, and acceleration. Equations for the period of a mass-spring system and a simple pendulum (for small angles, up to 15 degrees) are provided. Frequency is defined, and a general equation for position in SHM using cosine or sine is given. Graphs of position, velocity, and acceleration for SHM are mentioned. The conservation of total mechanical energy in an isolated SHM system is covered, along with equations for total mechanical energy.

This unit introduces density (mass/volume) and pressure (perpendicular force/area), noting pressure as a scalar. Absolute pressure and gauge pressure are explained, with the gauge pressure equation (ρgh) and its independence from container cross-sectional area. Archimedes' Principle is covered, defining buoyant force as the weight of the fluid displaced. The continuity equation for ideal fluid flow (constant volumetric flow rate) is presented. Bernoulli's equation, representing conserved mechanical energy in ideal fluid flow, is detailed with its terms. Bernoulli's Principle, relating fluid speed and pressure (increased speed, decreased pressure for negligible height difference), is discussed. Finally, Torricelli’s Theorem for the speed of fluid exiting a reservoir is given.

Mr. P concludes the rapid review, acknowledging its brevity. He reiterates the availability of his comprehensive resources: the Ultimate Exam Slayer (digital practice exams, exam structure), the Ultimate Review Packet (curriculum, practice exam), longer AP Physics 1 review videos, and nearly 40 hours of AP Physics 1 topic videos. All links are in the description. He offers encouragement and wishes good luck to all students taking the AP Physics 1 exam.