Newton's Laws of Motion

Newton's First Law of Motion: The Law of Inertia

  • Every object continues in a state of rest or of uniform speed in a straight line unless acted on by a nonzero (unbalanced) force.

  • Inertia is an object's resistance to change in its state of motion.

  • A change in velocity requires an unbalanced (net) force.

Newton's Second Law of Motion: The Law of Acceleration

  • The acceleration produced by a net force on an object is:

    • Directly proportional to the net force (FnetF_{net}).

    • In the same direction as the net force.

    • Inversely proportional to the mass (mm) of the object.

  • Equation: a=Fnet/ma=m or Fnet=ma

  • Where a is acceleration


    Unit of force: Newton (NN) = kgm/s2kg \cdot m/s^2

  • Free Fall:

    • Occurs when gravity is the only force acting on a falling object (negligible air resistance).

    • Acceleration is constant, approximately g=9.8 m/s2g = 9.8 \ m/s^2 (often rounded to 10 m/s210 \ m/s^2).

    • All objects, regardless of mass, fall at the same acceleration in free fall because the ratio of weight (ww) to mass (mm) is constant (g=w/mg = w/m) in a given location.

  • Non-Free Fall:

    • Occurs when other forces, like air resistance, act on a falling object in addition to gravity.

    • Acceleration is less than gg.

    • As an object's speed increases, air resistance increases.

    • Terminal Velocity: Achieved when the force of air resistance equals the object's weight, resulting in zero net force and zero acceleration; the object falls at a constant velocity.

Newton's Third Law of Motion: The Law of Action and Reaction

  • Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first.

  • Action and reaction forces:

    • Are co-pairs of a single interaction.

    • Are equal in strength and opposite in direction.

    • Always act on different objects.

    • Example: Object A exerts force on B (action), Object B exerts force on A (reaction).

  • When forces are applied to objects of different masses (F=maF=ma), they will experience different accelerations.