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vector
a quantity that has magnitude and direction
acceleration
the rate at which an objects velocity changes
velocity-time graph
velocity is plotted on the vertical axis and time is plotted on the horizontal axis.
average acceleration
an objects change in velocity during some measurable time interval divided by that time interval
instantaneous acceleration
the change in an objects velocity at an instant of time
origin
the point at which something begins
free-fall acceleration
acceleration of an object due only to the effect of gravity
free fall
motion of an object when gravity is the only significant force acting on it
absolute value
a number that is equal in value to a given real number but is not negative
average speed
the slopes absolute value
intersection
where two or more things come together or cross
position-time graph
the time data is plotted on a horizontal axis and the position data is plotted on a vertical axis.
instantaneous position
the objects position at a particular instant.
dimension
measurement taken in one direction
displacement
change in position having both magnitude and direction
time interval
difference between two times
position
distance and direction from the origin to the object
distance
entire length of an objects path
coordinate system
a system used to describe motion that gives the location of the zero point of the variable and the direction in which the values of the variables increase
origin
point at which all variables in a coordinate system have the value zero
vectors
quantity that has both magnitude and direction
scalar
quantity that is just a number without any direction (always positive)
magnitude
the size of a quantity
resultant
vector that represents the sum of two other vectors
force
a push or a pull
system
the object/s of interest
free-body diagram
a physical representation that shows the forces acting on a system
net force
the vector sum of all the forces on an object
Newtons second law
states that the acceleration of an object is proportional to the net force and inversely proportional to the mass of the object being accelerated.
Newton’s first law
states “an object that is at rest will remain at rest, and an object that is moving will continue to move in a straight line with constant speed, if and only if the net force acting on that object is zero”.
inertia
(sometimes) newtons first law. ______ is the tendency of an object to resist changes in motion.
equilibrium
if the net force on an object is zero, then the object is in ____________.
viscosity
a measure of the resistance of a liquid to flow, which is affected by the size and shape of particles, and generally increases as the temperature decreases and intermolecular force increase.
weightlessness
a condition that occurs when there are no contact forces acting to support an object and the objects apparent weight is zero
terminal velocity
constant velocity that is reached when the drag force equals the force of gravity
drag force
force exerted by a fluid on an object opposing motion through the fluid
weight
gravitational force experienced by an object
apparent weight
support force exerted by an object
gravitational field
a vector quantity that relates the mass of an object to the gravitational force it experiences at a given location
symmetry
when two or more parts of an object are the same after a transformation, such as a flip, reflection, slide, or rotation
tension
a specific name for the force that a string or rope exerts.
normal force
the perpendicular contact force that a surface exerts on another surface
angular velocity
angular displacement divided by the time taken to make the angular displacement
impulse
the product of the average net force on an object and the time interval over which it acts
momentum
the product of the objects mass and the objects velocity
impulse-momentum theory
states that the impulse on an object is equal to the change in its momentum
angular momentum
the product of a rotating objects moment of intertia and angular velocity
angular-impulse angular momentum theorem
states that an angular impulse on an object is equal to the change in the objects angular momentum
closed system
a system that does not gain or lose mass
isolated system
when the net external force exerted on a closed system is zero
law of conservation of momentum
states that the momentum for any closed, isolated system does not change.
law of conservation of angular momentum
states that if no net external torque acts on aclosed system, then its angular momentum does not change
work
is done on a system when a force is applied through a displacment
joule
the SI unit of work
energy
the ability of a system to produce a change in itself or the world around it
work-energy theorem
states that when work is done on a system, the result is a change in the systems energy
kinetic energy
the energy associated with motion.
power
the rate at which energy is transformed
watt
power is measured in watts. one watt is 1J of energy transformed in 1s
system
object or objects of interest that interact with each other and the external world
rotational kinetic energy
energy due to rotational motion
potential
energy stored due to interactions between objects in a system
gravitational potential energy
stored energy due to the gravitational force between objects
reference level
position where GPE is defined to be zero
elastic potential energy
stored energy due to an objects change in shape
thermal energy
the sum of the kinetic energy and potential energy of the particles in a system
law of conservation of energy
states that in a closed, isolated system, energy can neither be created nor destroyed
mechanical energy
the sum of the KE and PE of the objects in a system
elastic collision
a collision in which the Kinetic energy does not change
inelastic collision
a collision in which kinetic energy decreases
GPE=
mgh (m=mass, g= 9.8 m/s², and h= height above the reference level)
Kinetic Energy (KE)=
½ mv²
Change in potential energy (ΔGPE)=
mg(hf - hi)
Work
for varying force, ____ is the area under a force-displacemnt graph.
W=
Fd
Power (P)=
W/t
Work (does/not) depend on _____. Power (does/not).
does not, time, does.
Total Mechanical Energy (no friction) (equation)
KEi+PEi = KEf + PEf
Total Mechanical Energy (including friction) (equation)
KEi + PEi + Wfriction = KEf + PEf
Kinetic energy is conserved only in _______ collisions. In _________ collisions, __ decreases and is transformed into heat, deformation, and sound.
elastic, inelastic, KE
average velocity
the ratio of an object’s change in position to the time interval during which the change occurred.
instantaneous velocity
the speed and the direction of an object at a particular instant
interaction pair
a set of two forces that are in opposite directions, have equal magnitudes, and act on different objects (also called action-reaction pair).
Newton’s third law
states that all forces come in pairs (the two forces act on different objects and are equal in strength and opposite in direction).
Kepler’s first law
states that the paths of the planets are ellipses, with the sun at one focus.
Keplers second law
states that an imaginary line from the sun to a planet sweeps out equal areas in equal time intervals.
Kepler’s third law
states that the square of the ratio of the periods of any two planets revolving about the sun is equal to the cube of the ratio of their average distances from the sun.
gravitational force
the force of attraction between two objects must be proportional to the objects’ masses
law of universal gravitation
states that objects attract other objects with a force that is proportional to the product of their masses and inversely proportinoal to the square of the distance between them.
radian (rad)
1/(2pi) of a revolution
angular displacement
as an object rotates, the change in the angle is called the object’s …
angular velocity
the rate at which an object rotates/revolves around an axis.
angular acceleration
the rate at which an object’s angular velocity changes over time.
Work-energy theorem (formula) W=
ΔK
Mechanical energy E<mech=
K+U
slope of a position-time graph represents…
velocity
a horizontal line indicates…
zero velocity
A vertical line _____physically possible, because it would require ______ ________
is not, infinite velocity.
The _________ of two position-time graphs indicates when two objects _____ or ______.
intersection, meet, pass.
average speed V=
d/t