# Physics - Grades Nine Through Twelve

Science
Content Standards.

Standards that all students should have the opportunity to learn are marked
with an asterisk (*).

## Motion and Forces

- Newton's laws predict the motion of most objects. As a basis for
understanding this concept:
- Students know how to solve problems
that involve constant speed and average speed.
- Students know that when forces are
balanced, no acceleration occurs; thus an object continues to move at a
constant speed or stays at rest (Newton's first law).
- Students know how to apply the law
F=ma to solve one-dimensional motion problems that involve constant
forces (Newton's second law).
- Students know that when one object exerts
a force on a second object, the second object always exerts a force of
equal magnitude and in the opposite direction (Newton's third law).
- Students know the relationship between
the universal law of gravitation and the effect of gravity on an object at
the surface of Earth.
- Students know applying a force to an
object perpendicular to the direction of its motion causes the object to
change direction but not speed (e.g., Earth's gravitational force causes
a satellite in a circular orbit to change direction but not speed).
- Students know circular motion requires
the application of a constant force directed toward the center of the
circle.
- * Students know Newton's laws are not
exact but provide very good approximations unless an object is moving
close to the speed of light or is small enough that quantum effects are
important.
- * Students know how to solve
two-dimensional trajectory problems.
- * Students know how to resolve
two-dimensional vectors into their components and calculate the magnitude
and direction of a vector from its components.
- * Students know how to solve
two-dimensional problems involving balanced forces (statics).
- * Students know how to solve problems
in circular motion by using the formula for centripetal acceleration in
the following form: a=v2/r.
- * Students kno
*w*how to solve problems involving the forces between two electric charges at a distance (Coulomb's law) or the forces between two masses at a distance (universal gravitation).

## Conservation of Energy and Momentum

- The laws of conservation of energy and momentum provide a way to
predict and describe the movement of objects. As a basis for understanding
this concept:
- Students know how to calculate kinetic
energy by using the formula E=(1/2)mv2 .
- Students know how to calculate changes
in gravitational potential energy near Earth by using the formula (change
in potential energy) =mgh (h is the change in the elevation).
- Students know how to solve problems
involving conservation of energy in simple systems, such as falling
objects.
- Students know how to calculate
momentum as the product mv.
- Students know momentum is a separately
conserved quantity different from energy.
- Students know an unbalanced force on
an object produces a change in its momentum.
- Students know how to solve problems
involving elastic and inelastic collisions in one dimension by using the
principles of conservation of momentum and energy.
- * Students know how to solve problems
involving conservation of energy in simple systems with various sources of
potential energy, such as capacitors and springs.

## Heat and Thermodynamics

- Energy cannot be created or destroyed, although in many processes
energy is transferred to the environment as heat. As a basis for
understanding this concept:
- Students know heat flow and work are
two forms of energy transfer between systems.
- Students know that the work done by a
heat engine that is working in a cycle is the difference between the heat
flow into the engine at high temperature and the heat flow out at a lower
temperature (first law of thermodynamics) and that this is an example of
the law of conservation of energy.
- Students know the internal energy of
an object includes the energy of random motion of the object's atoms and
molecules, often referred to as thermal energy. The greater the
temperature of the object, the greater the energy of motion of the atoms
and molecules that make up the object.
- Students know that most processes tend
to decrease the order of a system over time and that energy levels are
eventually distributed uniformly.
- Students know that entropy is a
quantity that measures the order or disorder of a system and that this
quantity is larger for a more disordered system.
- * Students know the statement
"Entropy tends to increase" is a law of statistical probability
that governs all closed systems (second law of thermodynamics).
- * Students know how to solve problems
involving heat flow, work, and efficiency in a heat engine and know that
all real engines lose some heat to their surroundings.

## Waves

- Waves have characteristic properties that do not depend on the type
of wave. As a basis for understanding this concept:
- Students know waves carry energy from
one place to another.
- Students know how to identify
transverse and longitudinal waves in mechanical media, such as springs
and ropes, and on the earth (seismic waves).
- Students know how to solve problems
involving wavelength, frequency, and wave speed.
- Students know sound is a longitudinal
wave whose speed depends on the properties of the medium in which it
propagates.
- Students know radio waves, light, and
X-rays are different wavelength bands in the spectrum of electromagnetic
waves whose speed in a vacuum is approximately 3×108 m/s (186,000 miles/second).
- Students know how to identify the
characteristic properties of waves: interference (beats), diffraction,
refraction, Doppler effect, and polarization.

## Electric and Magnetic Phenomena

- Electric and magnetic phenomena are related and have many practical
applications. As a basis for understanding this concept:
- Students know how to predict the
voltage or current in simple direct current (DC) electric circuits
constructed from batteries, wires, resistors, and capacitors.
- Students know how to solve problems
involving Ohm's law.
- Students know any resistive element in
a DC circuit dissipates energy, which heats the resistor. Students can
calculate the power (rate of energy dissipation) in any resistive circuit
element by using the formula Power = IR (potential difference) × I
(current) = I2R.
- Students know the properties of
transistors and the role of transistors in electric circuits.
- Students know charged particles are
sources of electric fields and are subject to the forces of the electric
fields from other charges.
- Students know magnetic materials and
electric currents (moving electric charges) are sources of magnetic
fields and are subject to forces arising from the magnetic fields of
other sources.
- Students know how to determine the
direction of a magnetic field produced by a current flowing in a straight
wire or in a coil.
- Students know changing magnetic fields
produce electric fields, thereby inducing currents in nearby conductors.
- Students know plasmas, the fourth state
of matter, contain ions or free electrons or both and conduct
electricity.
***Students know electric and magnetic fields contain energy and act as vector force fields.***Students know the force on a charged particle in an electric field is qE, where E is the electric field at the position of the particle and q is the charge of the particle.***Students know how to calculate the electric field resulting from a point charge.***Students know static electric fields have as their source some arrangement of electric charges.***Students know the magnitude of the force on a moving particle (with charge q) in a magnetic field is qvB sin(a), where a is the angle between v and B (v and B are the magnitudes of vectors v and B, respectively), and students use the right-hand rule to find the direction of this force.***Students know how to apply the concepts of electrical and gravitational potential energy to solve problems involving conservation of energy.