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Range
Symbol: R; Definition: Total horizontal distance in projectile motion; Equations: R = (u² sin 2θ)/g; Unit: m; SI Unit: m
random uncertainty
uncertainty produced by unknown and unpredictable variations in experimental situation
systematic error
error associated with instrument or experimental technique that causes measured value to be off
Newton’s first law
object at rest stays at rest, object in motion stays in motion, unless acted on by an external force (inertia)
Newton’s second law
F=ma, force causes an object to accelerate in direction of force
Newton’s third law
All forces have an equal and opposite reaction
Translational equillibrium
net force = 0
Impulse - J
change in momentum
Law of conservation of momentum
total momentum of isolated system remains constant
Law of conservation of energy
total energy of isolated system remains constant
elastic collision
kinetic energy conserved, objects do not stick together
inelastic collision
kinetic energy NOT conserved, objects stick together
Power - P
rate at which work is done, rate at which energy is transferred (joules per second J/s, or Watts, or Nm/s)
Newton’s universal law of gravitation
F=GMm/r², assuming point masses
Gravitational field strength - g
gravitational force per unit mass (on a point mass)
Gravitational Potential Energy - Ep
work done in moving a mass from infinity to a point in space (always minus, at infinity distance is 0)
Gravitational Potential - V
work done per unit mass in moving a mass from infinity to a point in space
Kepler’s third law
T² proportional to R³
Internal Energy - U
total potential energy and random kinetic energy of the molecules of a substance
mol
amount of substance that contains exactly 6.022×10²³ atoms, 1mol = grams x mass number of atom
Thermal capacity - C
energy required to raise the temperature of a substance by 1K
Specific heat capacity - c
energy required per unit mass to raise the temperature of a substance by 1K
Ideal Gas
No IMF, negligible volume (point mass), perfectly elastic collisions
Real Gas deviation from ideal gas
A real gas behaves like ideal gas under low pressure/density (increased volume makes the actual volume of the particles negligible) high temperature (increased kinetic energy makes IMF negligible)
First law of thermodynamics
U = change in U + W (thermal energy transferred to system from surroundings is = to work done by system + change in internal energy)
Isochoric (isovolumetric)
process occurs constant volume
isobaric
process occurs constant pressure
isothermal
process occurs constant temperature
adiabatic
process occurs without exchange of thermal energy (Q=0)
entropy - S
expresses degree of disorder in the system
second law of thermodynamics
entropy of the universe is increasing, implies thermal energy cannot spontaneously transfer from systems
SHM
simple harmonic motion, acceleration of object - proportional - displacement from equillibrium, acceleration always directed towards centre (equillibrium)
Resonance
system oscillates with maximum amplitude when driven by a force at a frequency equal to its natural frequency
Continuous progressive (travelling) wave
wave involves transfer of energy, no transfer of matter
Transverse wave
direction of energy transfer perpendicular to direction of particle motion (cannot be propagated in gases)
Longitudinal wave
direction of energy transfer parallel to direction of particle motion (sound waves)
Compression (waves)
area of high pressure in longitudinal wave
Rarefraction (waves)
area of low pressure (expansion) in longitudinal wave
Intensity - I
power recieved per unit area (for wave, intensity is proportional to amplitude²)
Snell’s law
n1/n2=sin02/sin01
Diffraction
bending of a wave around obstacle (diffraction only noticeable when slit width is smaller than or same size as wavelength)
Principle of Superposition
when two waves meet, the resultant displacement is the sum of vector displacements of component waves
Path difference
the difference in distance traveled by two coherent waves (d1-d2) from their sources to a specific point of intersection, either point of maximum or minimum.