(P2) Suppose two students are memorizing the elements on a list according to the rate of change equation: dL/dt = 0.5(1-L). L represents the fraction of the list that is memorized at any time t. (c) Suppose now that the list is infinitely long, like the decimal representation for π. In reality no one can memorize all the digits to π, but what does the rate of change equation predict will happen for a person who starts out not knowing any of the digits? That is, according to the rate of change equation, if L = 0 at time t = 0, is there ever a value of t for which L = 1? Explain.

This was wrong. Can you solve this again with these numbers? What is the root mean square velocity, vrms, for Hydrogen molecules (H2) at 20oC? Hint: How many amu does an H2 molecule contain. 1 amu = 1.67 x 10-27 kg Boltzman's Constant, k = 1.38 x 10-23 J/K Give your answer in m/s to 4 significant figures (NO DECIMALS)

the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom.  What is the approximate density, in kilograms per cubic meter, of a nucleus?

What is the square root of 1023? (Hints: 10 is an integer number. Integer numbers are exact, they don't have any uncertainty. The result however is going to be a real number. Computers approximate real numbers using floating point numbers. Floating point numbers have a given number of significant figures or digits. LON-CAPA typically expects 3, 4 or 5 digits. 2 or 1 is not enough, 6 or more is too many. Very large or very small numbers are expressed in scientific or exponential notation like the number above. Numbers in scientific notation are entered to computer software - like LON- CAPA as 1.23E15 or 1.23e15, for example; and 1.23E-15 or 1.23e-15, if the exponent is negative. If both the number and the exponent are negative, then you type -1.23E- 15 or -1.23e-15. On calculators the button is usually labelled as 'EE', but 'E' or 'EEX' or 'Exp' are also possible.)

Problem 13:   In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT-1, [a] = LT-2, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [s] represents the dimensions of the quantity s.) Part (a)  What is the simplest expression involving only a and s that has the same dimensions as v2?  expression = ______ Part (b)  What is the simplest expression involving only v and t that has the same dimensions as a?  expression = ______ Part (c)  What is the simplest expression involving only v and t that has the same dimensions as s?  expression = ______ Part (d)  What is the simplest expression involving only a and t that has the same dimensions as s? expression = ______

For (b), why do we divide the (100Wx8h) by (103Wh)? I get that we need to cancel out the Wh, but why do we divide by 103 specifically?

I need help with a University Physics 1 (significant figures) - The problem is described in the image below:

A bacteria colony which is unrestricted in its growth will grow out in a circular manner. The population ?(?) of the colony at time t is directly proportional to the area of the circle. Suppose that a particular bacteria grows in such a way that the population is 1.3 times larger each day, and that initially (t=0) the colony has a diameter of 4 centimeter and a population of 7 million. a) Find the Population and Diameter of the colony on the fifth day. b) Find the Rate of Change of the Population and Diameter of the colony on the fifth day. c) Unrestricted growth models are often impractical as values will quickly become unreasonable. On what day does our model predict that the area of the bacteria colony will be 1 square mile?

An engineer uses a stopwatch to measure the duration of an event. The digital stopwatch reading shows 0.77 s. (a) What uncertainty is implied by the reading itself without any other knowledge? (b) Suppose the stopwatch manufacturer specifications state an error of up to 1% of the reading. What value of uncertainty might you state with the reading? (c) Suppose the engineer adds an uncertainty of 0.05 s due to reaction time. What uncertainty might you state with the reading?

A relationship is found between the number density of cars on a freeway during rush hour, N, and distance. The relationship can be written as k a'N No dr? From this you can conclude that O w = V No O v = No No O v =