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kinematics
study of motion without regard to its cause
average speed
distance divided by time
displacement
net change in position
average velocity
displacement divided by time
instantaneous velocity
velocity at a single instant
instantaneous speed
magnitude of instantaneous velocity
acceleration
change in velocity
average acceleration
change in velocity over change in time
instantaneous acceleration
`dv/dt
vector
mathematical quantity with magnitude and direction
scalars
mathematical quantity without direction
vector addition
tip to tail
vector components
vectors have a x and y component
projectile
object that is launched into air and then predominantly affected by gravity
trajectory
path of a projectile
uniform circular motion
the motion of an object describing a circular path at a constant speed
radial acceleration
what changes the direction to keep the object in motion
tangential acceleration
parallel component of acceleration
radius of curvature
radius of a curved path
net force
the sum of all the forces
Newton's first law law of motion
a body in uniform motion stays in uniform motion, and a body at rest remains at rest, unless acted on by a nonzero net force
uniform motion
unchanging motion
newton's second law law of motion
the rate at which a body's momentum is changing is equal to the net force acting on the body
momentum
product of mass and velocity
inertia
the natural resistance of changes in motion
weight
the force that gravity exerts on a body
free fall
object falling with only gravity acting on it
newton's third law of motion
if object A exerts a force on object B, then object B exerts an oppositely directed force of equal magnitude on A
normal force
contact force that acts at right angles to surfaces
hooke's law (ideal spring constant)
F = -kx
spring constant
k, measures the stiffness of the spring
centripetal force
center seeker
coefficient of static friction
a quantity that depends on the two surfaces in contact
kinetic friction
the weaker force between surfaces in relative motion
coefficient of kinetic friction
force between the two surfaces is proportional to the normal force
drag forces
force that opposes movement through fluids or air
terminal speed
the point that the net force on the object is zero, and it falls with constant speed
work
energy put into moving an object
joule
unit of measurement for energy/work
kinetic energy
energy of motion
work-energy theorem
the change in kinetic energy is equal the net work done
power
the rate of doing work measured in watts
instantaneous power
the average power over an interval of time
conservation of energy
returning of energy of a force applied
potential energy
stored work that can be released as kinetic energy
conservative force
force like gravity or a spring that gives back work done against it
nonconservative force
forces like friction that do not give back
elastic potential energy
energy that is stored from the stretching or compressing a spring
mechanical energy
the sum of the kinetic and potential energy
law of conservation of energy
the sum of the change in mechanical energy (change in KE + change in PE) is equal to nonconservative work which is equal to 0
turning points
points where the object moves between
potential energy curve
plot of potential energy vs. position
potential energy barrier
limit of potential energy
potential well
where energy is trapped between the turning points
orbital motion
occurs when gravity is the dominant force acting on a body
circular orbit
continuing forever unless a non gravitational force acts on it
orbital period
time it takes an object to complete one orbit
perihelion
...
aphelion
...
escape speed
an object with a certain speed that has enough energy to escape forever from the gravitating body
gravitational field
...
center of mass
average position of all mass of an object
net external force
the total force from the outside of a system
conservation of linear momentum
when the net external force on a system is zero and the total momentum of the system -- the vector sum of the individual momenta remains the same
kinetic energy of the center of mass
the kinetic energy of a particle of mass M moving at velocity V
collision
intense interaction between two objects
impulse
product of average force and time
elastic collision
collision that occurs and then the objects part in different directions
totally inelastic collision
collision where objects stick together
impact parameter
a measure of how much the collision differs from being head-on
rigid body
one whose parts remain in fixed positions relative to one another
average angular velocity
change in angular displacement over change in time
instantaneous angular velocity
dtheta/dt
angular speed
magnitude of angular velocity
angular acceleration
change in angular velocity over the change in time
tangential acceleration
dv/dt directed parallel or antiparallel t their linear velocity
radial acceleration
points on a rotating object also have radial acceleration ever if there isn't angular acceleration
torque
the effectiveness of a force bringing about changes in rotational motion
rotational inertia (moment of inertia)
accounts for the objects mass and the distribution of the object's mass
parallel access theorem
allows one to calculate the rotational inertia through any parallel axis
rotational kinetic energy
sum of the kinetic energies of all its masses elements, taken with respect to the rotation axis
right hand rule
direction of rotational vectors
angular momentum
cross product of linear momentum at position vector with respect to some point
static equilibrium
the condition in which a structure or system experiences neither a net force or net torque
equilibrium
when the net external force and torque are both zero
center of gravity
point where forces of gravity seem to act
equilibrium
stable unstable neutrally stable conditionally stable (metstable)
oscillatory motion
back and forth about the equilibrium
amplitude
the maximum displacement for equilibrium
period
the time it takes for the motion to repeat itself
frequency
number of oscillation cycles per unit time
simple harmonic motion
that type of motion that results from a restoring force proportional to displacement
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