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Newton's First Law and Motion Concepts

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  • Aristotle's classification of motion

    Natural motion is motion toward an object's proper place (e.g., stones fall, smoke rises). Violent motion is caused by external pushes or pulls (e.g., wind moving ships).

  • Galileo's concept of inertia

    Objects fall at the same rate regardless of weight without air resistance. A moving object needs no force to keep moving if friction is absent.

  • Definition of force and inertia

    Force is a push or pull. Inertia is a property of matter resisting changes in motion, depending on mass.

  • Newton's First Law of Motion

    Objects remain at rest or move at constant velocity unless acted on by a nonzero net force.

  • Net force

    The vector sum of all forces acting on an object, considering magnitude and direction.

  • How to find net force with forces in opposite directions

    Subtract smaller force from larger force; direction is that of the larger force.

  • Vector quantity

    A quantity with both magnitude and direction, represented by arrows (e.g., force, velocity).

  • Scalar quantity

    A quantity with only magnitude, no direction (e.g., mass, volume, speed).

  • Resultant vector

    The sum of two or more vectors. Add magnitudes if same direction, subtract if opposite, or use parallelogram rule if at angles.

  • Parallelogram rule for vectors

    Used to find resultant of two vectors not aligned; the diagonal of the parallelogram formed by the vectors is the resultant.

  • Equilibrium rule

    The vector sum of forces on a nonaccelerating object is zero: \(\sum F=0\).

  • Support force (normal force)

    An upward force opposing gravity, exerted by surfaces to support objects resting on them.

  • Newton's Third Law of Motion

    For every action force, there is an equal and opposite reaction force.

  • Static equilibrium

    An object at rest with no net force acting on it.

  • Dynamic equilibrium

    An object moving at constant velocity with no net force acting on it.

  • Acceleration

    The rate of change of velocity over time, including changes in speed or direction.

  • Units of acceleration

    Velocity units divided by time units, e.g., meters per second squared (m/s²).

  • When is a car accelerating?

    When it changes speed (slowing or speeding up) or changes direction (e.g., rounding a curve).

  • Friction force in equilibrium

    When pushing an object at steady speed, applied force equals friction force.

  • Motion is relative

    Motion is described relative to a reference point, e.g., walking on Earth vs. Earth moving around the Sun.