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20 Cards in this Set

  • Front
  • Back
Momentum (p)
measure of a moving object's tendency to continue along its present path

p = mv
p: momentum
m: mass
v: velocity

Units are kg m/s

closely related to inertia

1. in an isolated system, momentum is always conserved
2. momentum is a vector

initial momentum of an isolated system is always equal to final momentum in magnitude and direction

M1V1 = M2V2
Elastic collisions
mechanical energy is conserved

no energy dissipates to internal energy

example is atomic collisions

only conservative forces are at work, resulting in conservation of mechanical energy

sum of mechanical energies before collision equals sum of mechanical energies after collision

Uinitial + Kinitial = Ufinal + Kfinal
Inelastic collisions
colliding objects lose some mechanical energy to internal energy

must use conservation of momentum to solve inelastic collision probelms

Pinitial = Pfinal

completely inelastic collision is when the colliding objects stick together upon collision

M1V1 + M2V2 = (M1+M2)V3

Px (initial) = Px (final)
Py (initial) = Py (final)
Reverse collisions
Objects start together and suddenly burst apart

Final and initial momentum are equal

Example is explosion or radioactive decay where species start from rest

in a 2 piece explosion, 2 pieces must separate in exactly opposite directions because of vector nature of momentum

M3V3 = M1V1 + M2V2
M1V1 = M2V2
Impulse (J)
equal to change in momentum

J = change in momentum

Force during time of collisions is not constant

Average force:
J = (Favg)(change in time)

Change in p = (Favg)(change in t)

If time over which collision occurs is increased, than force is decreased
Machines
mechanical devices that reduce force when doing work

ideal machines reduce force but don't change work

nonideal machines increase work because they increase internal energy through friction

3 machines:
1. ramp
2. lever
3. pulley
Ramp
an inclined plane

type of machine

W = mgh
W: work
m: mass
g: gravity
h: height

F = mgsin0

fraction by which we reduce the force must be equal to fraction by which we increase the length of the ramp

work is not changed
Lever
based on principle of torque

type of machine

increases distance through which force acts

clockwise torque must equal counter-clockwise torque

T = Fl
T: torge
F: force
l: lever arm

work is not changed
Pulley
based on principle of ramp and lever

allows force to act on a greater distance and thus do same amount of work with less force

tension through a massless rope attached to a frictionless, massless pulley is constant

tension is the same at every point in the rope
Radioactive Decay
concerns atoms that spontaneously break apart

hydrogen does not undergo spontaneous decay

No atoms with more than 83 protons are considered stable

5 types:
1. alpha decay
2. beta decay
3. positron emission (beta decay)
4. gamma ray production
5. electron capture (beta decay)
Half-life
predictable rate of decay of any substance (large group of identical atoms)

length of time necessary for 1/2 of given amount of substance to decay

4 variables:
1. initial amount of substance
2. final amount of substance
3. number of half-lives (time period/half-life)
4. length of half-life
Alpha decay
alpha particle is a helium nucleus = 2 protons and 2 neutrons

an alpha particle is lost

mass number (A) decreases by 4

atomic number (Z) decreases by 2
Beta decay
expulsion of an electron

beta particle is an electron or a positron (an electron with a positive charge)

not the destruction of an electron, instead it is the creation of an electron and a proton from a neutron and the expulsion of the newly created electron

mass number (A) doesn't change

atomic number (Z) increases by 1
Positron emission
type of beta decay

emission of a positron when a proton becomes a neutron

a proton is transformed into a neutron and a positron is emitted

mass number (A) doesn't change

atomic number (Z) decreases by 1
Electron capture
capture of an electron along with the merging of that electron with a proton to create a neutron

a proton is destroyed and a neutron is created

mass number (A) doesn't change

atomic number (Z) decreases by 1
Gamma ray production
high frequency photon

has no charge and doesn't change the identify (atomic number, Z) of the atom from which it is given off

often accompanies other decay types

when an electron and a positron collide

mass number (A) doesn't change

atomic number (Z) doesn't change

matter-antimatter collision (annihilation), where mass is destroyed releasing energy in the form of gamma rays
Rest mass energy
E = mc^2
E: energy
m: mass created or destroyed
c: speed of light (3e^8 m/s)

latent energy within the mass of an object

use when mass is created or destroyed
Mass defect
difference in masses before and after creation or destruction of mass
Fusion
combining of 2 nuclei to form a single heavier nucleus

binding energy increases, new bonds are more stable and stronger

large amount of energy is released, energy comes from mass defect

more energy was released in formation of stronger bonds than was absorbed in breaking of weaker bonds
Fission
splitting of single nucleus to form 2 lighter nuclei

large amount of energy is released, energy comes from mass defect