Prove that there is no smallest positive irrational number

University Physics 13
Problem 75P A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless, horizontal air table (Fig. P7.69). The mass of the spring is negligible. You move the block to the right

College Physics 1
Problem 11PE Show that if two resistors R1 and R2 are combined and one is much greater than the other ( R1>>R2 ): (a) Their series resistance is very nearly equal to the greater resistance R1 . (b) Their parallel resistance is very nearly equal to smaller resistance R2 .

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3
Problem 68P 14 g of nitrogen gas at STP are adiabatically compressed to a pressure of 20 atm. What are (a) the final temperature, (b) the work done on the gas, (c) the heat input to the gas, and (d) the compression ratio V max /V min ? (e) Show the process on a pV diagram, using proper scales on bo

Principles of General Chemistry 2
Problem 71P Calculate each of the following quantities: (a) Volume of 2.050 Mcopper(II) nitrate that must be diluted with water to prepare 750.0 mL of a 0.8543 M solution (b) Volume of 1.63 M calcium chloride that must be diluted with water to prepare 350. mL of a 2.86 10- 2 M chloride ion solution

Principles of General Chemistry 2
Define bond energy using the \(\mathrm{H}-\mathrm{Cl}\) bond as an example. When this bond breaks, is energy absorbed or released? Is the accompanying \(\Delta H\) value positive or negative? How do the magnitude and sign of this \(\Delta H\) value relate to the value that accompanies \(\mathrm{H}-\m

Chemistry: The Central Science 13
Consider the following XF4 ions: PF4 -, BrF4 -, ClF4 +, and AlF4 -. (a) Which of the ions have more than an octet of electrons around the central atom? (b) For which of the ions will the electrondomain and molecular geometries be the same? (c) Which of the ions will have an octahedral electron- domai

Classical Mechanics 0
A rocket is traveling at speed 0.9c along the x axis of frame 3. It shoots a bullet whose velocity v' (measured in the rocket's rest frame 3') is 0.9c along the y' axis of 3'. What is the bullet's velocity (magnitude and direction) as measured in 5?

Macroeconomics 22nd
What are the determinants of supply? What happens to the supply curve when any of these determinants change? Distinguish between a change in supply and a change in the quantity supplied, noting the cause(s) of each.