B MCAT- Physics Flashcards
mechanical advantage is the ratio of …
input force/output force.
efficiency is the ratio of …
useful work / total work performed by a system.
W=f d
V=change in position / change in time
g=
9.81 m/s^2
For MCAT, can round to 10 m/s^2.
W=mg
F=ma
U initial + K initial = K final + U final
Central dogma of energy in B’s words
Energy is the ability to do work.
Energy is conserved.
Work converts potential energy to kinetic energy (or elastic potential energy) and visa versa.
Potential energy is always = force x distance. This often comes in the form of U=mgh.
Kinetic energy is 1/2mv^2. So velocity has a much greater impact on KE than mass does.
Many problems are just asking for the delta, so remember to simplify and set the zero point where ever is most convenient.
In many frictionless ramp questions, the angles have no impact on final velocity. E.g. Given two boxes of same weight sliding off a truck down ramps of 15 vs. 45 degrees, they end with the same velocity.
Often the trig can be approximated.
Pressure vs. Force
Pressure is Force/Area.
ex. squeeze a water bottle and the “diver” goes down.
Buoyant Force
Buoyant force is the difference between the force on the top vs. bottom of an object in liquid.
BF acting on an object is equal to the density of the liquid it is in multiplied by the amount of fluid displaced by the object.
Buoyant force is equal to the weight of the fluid the object displaces. (Archimedes Principle)
Buoyant force is equal and opposite to the force of gravity on a floating object. And F=mg.
Specific Gravity/ Relative Density
The ratio of densities between an object/substance and a reference fluid.
sg=p object/p reference fluid
kg/L
Specific gravity, also called relative density, is the ratio of the density of a substance to that of a standard substance, usually water at 1.0 kg per litre (62.4 pounds per cubic foot).
Gases are commonly compared with dry air, which has a density of 1.29 grams per litre (1.29 ounces per cubic foot) under so-called standard conditions (0 °C and a pressure of 1 standard atmosphere).
If an object has a lower specific gravity than a given fluid or gas = the object will float in that fluid or gas.
Specific Gravity will also tell us what portion of object will be displaced in the fluid while it floats. Objects more dense than the fluid will have ratio > 1 and will sink.
ideal gas = theoretical = no volume = no intermolecular forces = no loss of energy from collisions (elastic collisions)
Relationship between pressure and volume
smaller volume = more pressure = more frequent collisions
Boyle’s Law:
PV=Constant, so
P and V inversely proportional
Increasing the temperature will make particles more faster. So, if you take a container and keep the number of particles and the pressure constant, then increasing the temperature will increase the volume of the container.
Relationship between volume and temperature
Charles’ Law:
V/T=Constant
So, V and T inversely proportional.
Decrease in V=Constant x increase in T.
Definition of temperature in Kelvin
Temperature is the average kinetic energy of all the molecules in a system.
At zero Kelvin–absolute zero–all particles has stopped moving (theoretical).
Absolute zero Kelvin = -273 degrees C
Moles and Volume
Avogadro’s Law:
Vol/number of moles = constant
increase in vol = constant x increase in number of moles.
Ex. Moles of gas can decrease with temperature changing to liquid.
Ideal Gas Law
PV=nRT
Pressure x Volume = number of moles x ideal gas constant x temperature
Value of R depends on units used.
UNITS!!!!!
STP for gas problems
standard temperature and pressure for gas law problems:
= 273 Kelvin (0 degrees Celsius)
1 atm
Vol of 1 mole of an ideal gas is 22.4 L
standard conditions for thermodynamics problems:
= 298 Kelvin (25 degrees Celsius)
Pascal’s Law, pressure and fluid
pressure exerted on an incompressible fluid is the same throughout the fluid. F/A is the same throughout.
So, if area is smaller in one spot, it increases the force proportional to the area. Ex. Hydraulic lifts
density = mass/ volume
kg
L
1000 L = 1 meter^3
Convert Celsius to Kelvin
degrees Celsius + 273 = Kelvin
Water boils at:
373 Kelvin
100 degrees Celsius
212 degrees F
Henry’s Law
The amount of gas dissolved in a liquid is proportional to the partial pressure of the gas above the liquid.
relationship between pressure and force
Pressure (in pascals) =
Force (in newtons) /Area (in m^2)
P=F/A
This is how hydraulic lifts work.