The centered average of a list of numbers is the arithmetic mean of all the numbers in the list, except for the smallest and largest values. If the list has multiple copies of the smallest or largest values, only one copy is ignored when calculating the mean. For example, given the list [1, 1, 5, 3 5, 10, 8, 7], one 1 and 10 are ignored, and the centered average is the mean of the remaining values; that is, 5.2. Use the function design recipe to develop a function named centered_average. The function takes a list of integers. (Assume that the list has at least three integers). The function returns the centered average of the list. Hint: In this exercise you are permitted and encouraged to use Python's min and max functions.

**** YOU CANNOT USE THE FOLLOWING:

list slicing (e.g., lst[i : j] or (lst[i : j] = t)  the del statement (e.g., del lst[0])  Python's built-in reversed and sorted functions.  any of the Python methods that provide list operations; e.g., append, clear , copy , count, extend, index, insert, pop, remove, reverse and sort  list comprehensions

Determination of an Equivalent Mass by Electrolysis

Data

Identity of metal = Copper

Mass of metal anode = 11.167 g

Mass of anode after electrolysis = 10.930 g

Initial buret reading =50 mL

Buret reading after first electrolysis =49.2 mL

Buret reading after refilling = 50 mL

Buret reading after second electrolysis =47.2

Barometric pressure
(1 atm = 1013.25 mbar)

Temperature, T = 328 K

Vapor pressure of H2O at T=

Calculations (show work) Total volume of H2 produced, V=

Partial Pressure of dry H2=

(ignore any pressure effect due to liquid levels in buret)PH2= barometric pressure- PH2O

No. moles H2 produced, n=

Faradays passed (no. of moles of electrons)=

Loss in mass by anode=

Equivalent mass of metal=

mass lost/faradays passed

Molar mass of metal =

Charge, n, on cation=

The weight of a 0.6 kg object at the surface of Planet V is 20 N. The radius of the planet is 4 X 10⁶ m. Find the gravitational acceleration at a distance of 2.0 X 10⁶ m from the surface of this planet.

9 m/s²

13 m/s²

14.8 m/s²

11 m/s²

How are antibodies unique? Please discuss the structure of an antibody. What are the V and C regions? Discuss how the few hundred genes involved are capable of making endless amounts of antibodies. Besides medical treatment what is another way antibodies can be used?

How are antibodies unique? Please discuss the structure of an antibody. What are the V and C regions? Discuss how the few hundred genes involved are capable of making endless amounts of antibodies. Besides medical treatment what is another way antibodies can be used?

A man pushing a crate of mass m = 92.0 kg at a speed of  v = 0.880 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.357 and he exerts a constant horizontal force of 297 N on the crate.

A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate.

(a) Find the magnitude and direction of the net force on the crate while it is on the rough surface.

(b) Find the net work done on the crate while it is on the rough surface.
J

(c) Find the speed of the crate when it reaches the end of the rough surface.
m/s

A beam of electrons accelerated by a voltage V hits a target made of atoms of atomic number Z=20 . Suppose the atom ( Z=20) has a spherical and uniform distribution of outer electrons , so that Bohr's model can be used to describe its inner electron. An electron from the accelerated beam hits an atom of the target and ejects the innermost electron of the atom. Assuming that the electron of the beam transferred all its kinetic energy to the atom and neglecting the recoil of the atom itself, find

a) the accelerating voltage

b) A K_β transition ( thats is a 3-->1 transition) occurs to fill the vacancy left behind by the ejected electron and the K_{β line is analyzed by a Bragg spectrometer . The first maximum is observed at 4.9⁰ angle . What is the crystal spacing, d?}

(V) Let A ⊆ R, B ⊆ R, A 6= ∅, B 6= ∅ be two bounded subset of R. Define a set A − B := {a − b : a ∈ A and b ∈ B}. Show that sup(A − B) = sup A − inf B and inf(A − B) = inf A − sup B

A capacitor with capacitance 6.00 × 10−5 is charged by connecting it to a 12.0 V battery. The capacitor is disconnected from the battery and connected across an inductor with L=1.50 H.

1. What is the initial energy stored in the capacitor?

2. What are the angular frequency of the electrical oscillations and the period of the

   oscillations?

3. What is the charge on the capacitor 0.0230 s after the capacitor is connected to the

   inductor? Interpret the sign of your answer.

4. What is the current in the inductor 0.0230 s after the capacitor is connected to the

   inductor? Interpret the sign of your answer.

5. At a time t=0.0230 s after the capacitor is connected to the inductor, how much

   energy is stored in the capacitor and how much is stored in the inductor (make sure to compare your answer to part A)?