Find the vector components of vector v which is 40 degrees above the x-axis with a magnitude of 10.
v = (10cos(40), 10sin(40)) OR v = (7.66, 6.43)
What is the ideal gas law? What proportionalities can we deduce from the ideal gas law? Be sure to indicate what each part of the ideal gas law represents and explain how you have deduced the proportionalities you have.
The ideal gas law is PV = nRT, where P = pressure V = volume n = amount of substance R = constant T = temperature The proportionalities we can deduce are: P1V1 = P2V2 (Boyle's Law) V1/n1 = V2/n2 (Avogadro's law) V1/T1 = V2/T2 (Charles's Law) P1/T1 = P2/T2 (Gay-Lussac's Law) P1V1/T1 = P2V2/T2 (Combined Gas Law) The proportionalities have been deduced by holding certain variables constant and then equating these variables to each other. EX: in Boyle's law, temperature and the amount of substance are held constant revealing the pressure x temperature of one condition should equal the pressure x temperature of another condition.
Why do we use integrals? What are their purpose? List several "things" we can solve for when using an integral?
An integral is used to find the area within a certain parameter. Integrals are used to find the volume of objects and well as area and can quantify certain physical relationships through time or distance. An example is work. Work is the integral of force over infinitesimally small amounts of distance.