# Guide to AP® Physics C: Mechanics

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## Kinematics

How fast? How far? How long? These are the key questions in kinematics. Learn how to use kinematic equations with calculus to answer questions about objects moving in one or two dimensions.

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### Motion in One Dimension

Gain an understanding of the relationships between position, velocity and acceleration for a particle in linear motion.
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### Motion in Two Dimensions

Employ the use of vectors in analyzing multi-dimensional motion of particles.
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## Newton's Laws of Motion

Explore the role that forces play in the motion of objects and systems. Reference Newton's Laws of Motion to predict the effects of gravity, friction, and normal forces on moving bodies in this theme.

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### Static Equilibrium

Assess scenarios in which various forces act upon a particle at rest or in constant velocity.
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### Dynamics of a Single Particle

Analyze the effects of force and mass on the acceleration of an object.
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### Systems of Two or More Objects

Familiarize yourself with Newton's third law as you identify forces and how they act within a system.
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## Work, Energy, and Power

One of the first things you learned in science is that all energy is conserved. With these questions, you can apply this concept (along with the concepts of work and power) to explain and predict the behavior of a system. These concepts are fundamental to all areas of science and engineering.

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### Work and Work-Energy

Calculate the work done both by and on objects as you apply the work-energy theorem to real world scenarios.
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### Forces and Potential Energy

Identify the relationship between conservative forces and potential energy and its applications.
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### Conservation of Energy

Evaluate scenarios in which mechanical energy is lost or conserved, tying in concepts of work and one-dimensional forces.
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### Power

Examine the interconnection between work, force, and power as you determine how much power is needed to keep an object in constant acceleration.
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## Systems of Particles and Linear Momentum

What do collisions, seesaws, and stacks of boxes have in common? Learn the importance of finding a system's center of mass in conceptual applications. The principles of momentum and impulse can help you understand how systems and particles behave when they interact with each other.

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### Center of Mass

Locate the center of mass of both individual object and systems of symmetrical objects.
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### Impulse and Momentum

Relate mass, impulse, time and velocity as you analyze forces that impact the linear momentum of an object.
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### Conservation of Linear Momentum

Define linear momentum conservation and apply it to various situations, including the analysis of motion relative to a frame of reference.
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## Circular Motion and Rotation

What keeps objects moving in circles? Why are door handles placed opposite from the hinges? Explore the concepts of torque, centripetal forces, and angular momentum through challenging application questions.

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### Uniform Circular Motion

Apply your knowledge of the circular motion of a particle to various situations as you analyze the relationship between the objects speed, acceleration, and radius.
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### Torque and Rotational Statics

Determine the magnitude and direction of torque along with analyzing the equilibrium and rotational inertia of various objects.
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### Rotational Kinematics and Dynamics

Relate translational and rotational kinematics, analyze the dynamics of fixed-axis rotation, and identify the motion of a rigid object along a surface as you work through this series of physics problems.
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### Angular Momentum

Connect conservation of momentum to rotational situations as you analyze torque and inertia.
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## Oscillations and Gravitation

What makes systems oscillate in simple harmonic motion? What makes planets stay in orbit? Examine the mathematics behind this natural, rhythmic pattern and apply these to mechanical and astronomical situations.

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### Simple Harmonic Motion

Analyze the dynamics and energy relationships of simple harmonic motion.
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### Mass on a Spring

Apply your understanding of simple harmonic motion to problems involving spring-mass systems.
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### Pendulums and Other Oscillations

Use your knowledge of simple harmonic motion to determine, evaluate and apply the expression for the period of a simple pendulum.
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### Newton's Law of Gravity

Explore the nature of masses and forces through the application of Newton's law of universal gravitation.
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### Orbits of Planets and Satellites

Evaluate both circular and general orbits as you brush up on Kepler' three laws, gravitational forces, and conservation of momentum.
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