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Physics C: MechanicsQ&A by dot point
A short Q&A bank for every United States Physics C: Mechanics syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.
Unit 1: Kinematics
- Topic 1.2 Displacement, Velocity, and Acceleration: define velocity and acceleration as the time derivatives of position and velocity, integrate to recover velocity and position, and apply the constant-acceleration kinematic equations.2Q&A pairs
- Topic 1.4 Reference Frames and Relative Motion: define inertial reference frames, transform velocities between frames using vector addition, and recognize that acceleration is the same in all inertial frames.2Q&A pairs
- Topic 1.3 Representing Motion: relate position, velocity and acceleration graphs through slopes (derivatives) and areas (integrals), and translate between graphical, equation and verbal descriptions of motion.2Q&A pairs
- Topic 1.1 Scalars and Vectors: describe scalar and vector quantities by magnitude and direction, resolve a vector into perpendicular components, and add vectors by components and graphically.2Q&A pairs
- Topic 1.5 Vectors and Motion in Two Dimensions: analyze two-dimensional motion by resolving into independent perpendicular components, apply this to projectile motion, and use vector calculus for general planar motion.2Q&A pairs
Unit 2: Force and Translational Dynamics
- Topic 2.10 Circular Motion: relate centripetal acceleration to speed and radius, identify the real force that supplies the centripetal force, and apply Newton's second law to circular motion including vertical circles.2Q&A pairs
- Topic 2.2 Forces and Free-Body Diagrams: identify the forces acting on a chosen object, represent them on a free-body diagram, and resolve them into components on chosen axes to find the net force.2Q&A pairs
- Topic 2.6 Gravitational Force: apply Newton's law of universal gravitation, define the gravitational field strength, relate it to weight, and treat gravity inside and outside a spherical mass.2Q&A pairs
- Topic 2.7 Kinetic and Static Friction: model kinetic friction as proportional to the normal force, treat static friction as adjustable up to a maximum, and apply both to decide whether and how an object slides.2Q&A pairs
- Topic 2.4 Newton's First Law: state the law of inertia, define translational equilibrium as zero net force, and apply the equilibrium conditions to find unknown forces.2Q&A pairs
- Topic 2.5 Newton's Second Law: relate net force, mass and acceleration through the vector equation, apply it component by component, and extend it to connected systems and the general form with momentum.2Q&A pairs
- Topic 2.3 Newton's Third Law: state that forces arise in equal-and-opposite pairs on different objects, identify the members of a third-law pair, and use this to analyze interacting systems.2Q&A pairs
- Topic 2.9 Resistive Forces: model a velocity-dependent resistive force, set up and solve the equation of motion for fall with drag, and determine the terminal velocity and the exponential approach to it.2Q&A pairs
- Topic 2.8 Spring Forces: model the ideal spring with Hooke's law as a linear restoring force, combine springs in series and parallel, and connect the force law to elastic potential energy by integration.2Q&A pairs
- Topic 2.1 Systems and Center of Mass: define a system, locate the center of mass by a mass-weighted average (including by integration for continuous bodies), and apply that only external forces accelerate the center of mass.2Q&A pairs
Unit 3: Work, Energy, and Power
- Topic 3.4 Conservation of Energy: apply conservation of mechanical energy for conservative systems, and extend the energy balance to include the work done by non-conservative forces.2Q&A pairs
- Topic 3.3 Potential Energy: define potential energy for conservative forces, relate force and potential energy by , and use gravitational and elastic potential energy, including the general gravitational form.2Q&A pairs
- Topic 3.5 Power: define power as the rate of energy transfer, distinguish average from instantaneous power, and compute it from and .2Q&A pairs
- Topic 3.1 Translational Kinetic Energy: define translational kinetic energy, recognize it as a scalar that depends on the square of speed, and connect it to net work through the work-energy theorem.2Q&A pairs
- Topic 3.2 Work: define work as the dot product of force and displacement, compute the work done by a variable force as an integral, and interpret work as the area under a force-position graph.2Q&A pairs
Unit 4: Linear Momentum
- Topic 4.2 Change in Momentum and Impulse: define impulse as the integral of force over time, relate it to the change in momentum, and interpret the force-time graph and the average force.2Q&A pairs
- Topic 4.4 Collisions: classify collisions as elastic, inelastic or perfectly inelastic, apply momentum conservation to all and kinetic-energy conservation to elastic collisions, in one and two dimensions.2Q&A pairs
- Topic 4.3 Conservation of Linear Momentum: state that the total momentum of an isolated system is conserved, and apply it to recoil, explosions and interactions in one and two dimensions.2Q&A pairs
- Topic 4.1 Linear Momentum: define linear momentum as the product of mass and velocity, treat it as a vector, and relate the net force to its rate of change.2Q&A pairs
Unit 5: Torque and Rotational Dynamics
- Topic 5.2 Connecting Linear and Rotational Motion: relate arc length, tangential velocity and tangential acceleration to the angular quantities through the radius, and distinguish tangential from centripetal acceleration.2Q&A pairs
- Topic 5.6 Newton's Second Law in Rotational Form: relate net torque, rotational inertia and angular acceleration through , and apply it to pulleys and combined translational-rotational systems.2Q&A pairs
- Topic 5.5 Rotational Equilibrium and Newton's First Law: state the two conditions for static equilibrium (zero net force and zero net torque) and apply them to find unknown forces on rigid bodies.2Q&A pairs
- Topic 5.4 Rotational Inertia: define rotational inertia as the mass-weighted sum of , compute it by integration for continuous bodies, and apply the parallel-axis theorem.2Q&A pairs
- Topic 5.1 Rotational Kinematics: define angular position, velocity and acceleration as derivatives, apply the constant-angular-acceleration equations, and use integration for variable angular acceleration.2Q&A pairs
- Topic 5.3 Torque: define torque as the product of force and lever arm, compute it as and as a cross product, and combine torques about an axis.2Q&A pairs
Unit 6: Energy and Momentum of Rotating Systems
- Topic 6.3 Angular Momentum and Angular Impulse: define angular momentum for rigid bodies and particles, relate net torque to its rate of change, and use the angular impulse-momentum theorem.2Q&A pairs
- Topic 6.4 Conservation of Angular Momentum: state that angular momentum is conserved when the net external torque is zero, and apply it to changing rotational inertia and rotational collisions.2Q&A pairs
- Topic 6.6 Motion of Orbiting Satellites: derive the speed and period of a circular orbit, find the orbital energy, and apply conservation of energy and angular momentum to elliptical orbits and Kepler's laws.2Q&A pairs
- Topic 6.5 Rolling: state the rolling-without-slipping constraints on velocity and acceleration, analyze the role of friction in rolling, and apply energy and dynamics methods to rolling bodies.2Q&A pairs
- Topic 6.1 Rotational Kinetic Energy: define rotational kinetic energy as , combine it with translational kinetic energy for a moving, spinning body, and use it in energy conservation.3Q&A pairs
- Topic 6.2 Torque and Work: compute the work done by a torque as the integral of torque over angle, apply the rotational work-energy theorem, and define rotational power as .2Q&A pairs
Unit 7: Oscillations
- Topic 7.1 Defining Simple Harmonic Motion: identify simple harmonic motion as arising from a linear restoring force, derive the defining differential equation, and recognize its sinusoidal solution.2Q&A pairs
- Topic 7.4 Energy of Simple Harmonic Oscillators: express the kinetic, potential and total energy of an oscillator, apply conservation of energy to relate speed and displacement, and find the speed at any position.2Q&A pairs
- Topic 7.2 Frequency and Period of SHM: relate period, frequency and angular frequency, and determine them for the mass-spring system and the simple pendulum from the system properties.2Q&A pairs
- Topic 7.3 Representing and Analyzing SHM: write the sinusoidal position, velocity and acceleration of an oscillator, relate their amplitudes and phases, and read the motion from graphs and initial conditions.2Q&A pairs
- Topic 7.5 Simple and Physical Pendulums: derive the small-angle period of the simple pendulum and the physical pendulum using the rotational form of Newton's second law and the small-angle approximation.2Q&A pairs