Freefall
Falling objects accelerate in response to the force exerted on them by
Earth’s gravity. Different objects accelerate at the same rate,
regardless of their mass. This illustration shows the speed at which a
ball and a cat would be moving and the distance each would have fallen
at intervals of a tenth of a second during a short fall.
Components of Velocity
Neglecting air resistance, a ball thrown into the air at an angle will
travel in a parabolic path. The velocity of the ball (V) has
independent vertical (V) and horizontal (H) components; the horizontal
component stays the same the entire time the ball is in the air, while
the vertical component, the only component affected by gravity, changes
continuously while the ball is aloft.
Vectors and Net Force
Often, an object will have many forces acting on it simultaneously.
Calculating the effect of each of the forces separately can be extremely
complex and difficult. However, forces are vectors, and as such, any
number of forces can be combined into a single net force vector (R) from
which the object’s behavior can be determined.
Acceleration and Newton's Laws
Newton’s second law states that the net force on an object is
proportional to the acceleration that object undergoes. If there is no
net force, then according to Newton’s first law, there can be no
acceleration. A book on a table experiences a downward force due to
gravity, and an upward force due to the table pushing on the book
(called the normal force). The two forces cancel each other out exactly;
there is no net force, so the book does not accelerate off the table.
Friction
Microscopic bumps on surfaces cause friction. When two surfaces contact
each other, tiny bumps on each of the surfaces tend to run into each
other, preventing the surfaces from moving past each other smoothly. An
effective lubricant forms a layer between two surfaces that prevents the
bumps on the surfaces from contacting each other; as a result the
surfaces move past each other easily.
Energy of a Pendulum
A moving pendulum changes potential energy into kinetic energy and back
again. When the bob (weight on the end of string) is first released, it
has potential energy due to its height, but no kinetic energy since it
is not yet moving. As the bob accelerates downward, potential energy is
traded for kinetic. At the bottom of its swing, the bob has no potential
energy since it cannot fall any further. The bob is moving quickly at
this point since all of its former potential energy has been transformed
into kinetic energy.