One-Dimensional Kinematics

The four kinematic equations, plus how graphs of position and velocity encode slope and area differently.

  • Confuses displacement (vector, net change) with distance (scalar, total path)
  • Assumes average speed always equals the magnitude of average velocity

Two-Dimensional Kinematics and Projectile Motion

Horizontal and vertical motion are independent — range, flight time, and apex behavior follow from that separation.

  • Fails to treat x and y axes as independent in projectile motion
  • Thinks total velocity is zero at the peak of projectile motion

Newton's Three Laws of Motion

Three laws form the backbone of all force problems; action-reaction pairs and F = ma are the most-tested applications.

  • Places action-reaction pair on the same object, incorrectly canceling them
  • Confuses Newton's first and second laws by thinking force is needed to sustain motion

Friction (Static and Kinetic)

Static friction varies up to a maximum; kinetic friction is fixed — and neither simply opposes the applied force direction.

  • Treats static friction as a fixed value μsN rather than a variable up to that maximum
  • Believes kinetic friction exceeds static friction, reversing the μk < μs relationship

Inclined Planes and Free-Body Diagrams

Gravity splits into mg sinθ along the slope and mg cosθ into the surface — swapping them is the classic error.

  • Swaps sinθ and cosθ for the parallel and perpendicular gravity components on an incline
  • Uses mg instead of mg cosθ for the normal force on an inclined surface

Uniform Circular Motion and Centripetal Force

Centripetal acceleration always points inward; some real force in the problem must be supplying it.

  • Treats centrifugal force as a real outward force rather than a non-inertial pseudoforce
  • Adds centripetal force as an extra force on the FBD rather than identifying which real force provides it

Torque and Static Equilibrium

Static equilibrium demands both force and torque balance — picking a smart pivot eliminates unknowns instantly.

  • Ignores lever arm distance and angle when comparing torques from different forces
  • Applies only the force condition for equilibrium, neglecting the torque condition

Work and the Work-Energy Theorem

Work equals force times displacement times cosθ; only net work changes kinetic energy.

  • Assumes all forces on a moving object do work, ignoring the cosθ factor
  • Treats work as always positive, not recognizing negative work removes kinetic energy
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Kinetic and Potential Energy; Conservation of Energy

Energy conservation holds only when friction is absent; spring PE is quadratic, not linear, in displacement.

  • Treats gravitational PE as having an absolute value tied to the ground rather than a chosen reference
  • Applies conservation of mechanical energy to systems with friction

Power

Rate of doing work — P = Fv is a general instantaneous relationship, not limited to constant-speed situations.

  • Conflates total work done with power, ignoring the time component
  • Restricts P = Fv to accelerating objects rather than recognizing it as a general instantaneous power formula

Linear Momentum and Impulse

Vector quantity conserved when no net external force acts; impulse equals the change in momentum, not just force.

  • Confuses impulse with force magnitude, ignoring the time component
  • Treats momentum as a scalar, ignoring its vector nature

Elastic and Inelastic Collisions

Momentum is conserved in every collision; kinetic energy is conserved only in elastic ones.

  • Assumes KE conservation applies to all collisions, not just elastic ones
  • Thinks perfectly inelastic means all KE is destroyed and objects stop

Simple Machines and Mechanical Advantage

Trade force for distance at constant energy — mechanical advantage and efficiency are not the same quantity.

  • Thinks machines can increase both force and displacement simultaneously, violating energy conservation
  • Conflates mechanical advantage with efficiency

Universal Gravitation

Gravitational force falls off as 1/r², and orbital mechanics follow directly from setting that force equal to centripetal force.

  • Treats gravitational force as inversely proportional to r rather than r²
  • Conflates weight (a force dependent on g) with mass (an intrinsic property)

Simple Harmonic Motion (Springs, Pendulums)

Period of a spring depends on mass and stiffness, not amplitude; pendulum period depends on length, not bob mass.

  • Thinks larger amplitude means longer period for a spring oscillator
  • Incorrectly includes bob mass as a factor in pendulum period

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