a ) The moment of inertia of a rigid body, of mass 40 kg, about an axis through a point at 0.5 m from the mass centre, is 110 kg.m2. What is the moment inertia of the same body about an axis, parallel to the first, at a distance 1.0 m from the mass centre?

[4 marks]

i) A metal hoop, with mass m concentrated along its rim, has radius r, and rolls on a fixed surface without slipping. It has angular velocity ??. What is its kinetic energy? [4 marks]

j) Can a particle (point mass) have angular momentum? Explain your answer.

Potassium permanganate (KMnO4) is sometimes added to water as it enters a drinking water treatment plant to assist in the removal of Fe2+ and Mn2+ ions. The KMnO4 oxidizes those cations by acquiring electrons according to the following reaction: KMnO4 + 4H+ + 3e ↔ K+ + MnO2(s) + 2H2O a) What is the (electron) equivalent weight of Mn, based on this reaction? b) Calculate the mass (g) of KMnO4 in 2 L of a 0.15 M KMnO4 solution. c) If 1.0 mL of 0.15 M KMnO4 is added to each liter of the drinking water, and all the KMnO4 undergoes the reaction shown above, what concentration of KMnO4 will be generated by the reaction, in ppm?

Phosphoglycerate kinase is an important enzyme in the glycolysis. The conversion of 1,3-Bisphosphoglycerate reacts under standard conditions with release of 18,8 kJ pr mol. Hydrolysis of adenosine triphosphate is spontaneous under liberation of 30,4 kJ/mol.
a) Write the complete reaction and calculate ΔG’ for the reaction occurring at 37 °C and pH 7, when it is known that the concentration of adenosine triphosphate, adenosine diphosphate, glycerate-3-phosphate and 1,3-bisphosphoglycerate is 1.25mM, 0.1mM, 1.0 mM and 1μM, respectively.
b) Calculate the ratio between glycerate-3-phosphate and 1,3-bisphosphoglycerate at equilibrium.
Use the same temperature, pH and levels of ATP and ADP as given in question a

İki eşmerkezli iletken olmayan küresel yük kabuklarını düşünün. İç küre yarıçapı “R” ve toplam yükü -6Q olan negatif düzgün hacim yük yoğunluğuna sahiptir. Dış küresel kabuk iç yarıçapı “2R” ve dış yarıçapı “3R” ve toplam yükü + Q olan pozitif düzgün hacim yük yoğunluğuna sahiptir. R = 10 cm ve Q = 1.0106C ise, O noktasındaki elektrik potansiyeli ve q = + 10.0 C yükünü sırasıyla 6R'den 3R'ye taşıyarak yapılan iş nedir? (Varsayalım, sonsuzda, V = 0)

data one;
input NEA Fat;
cards;
-94 4.2
-57 3.0
-29 3.7
135 2.7
143 3.2
151 3.6
245 2.4
355 1.3
392 3.8
473 1.7
486 1.6
535 2.2
571 1.0
580 0.4
620 2.3
690 1.1
;
title "The Reg Procedure";
proc sgplot data=one;
scatter x=NEA Y=Fat;
run;
proc sgplot data=one;
reg x=NEA y=Fat;
run;

This is my data for a scatterplot. I need to know how to plot the regression line by the NEA data.

Initial rate data at 25^o C are listed in the table below for the reaction:

2NO(g) + Cl₂(g) → 2NOCl(g)

First determine the experimental rate law and calculate the the value of the rate constant, k (no units).
k =

Then, calculate the initial rate of this reaction, when the initial concentration of NO is 0.78 M and the inital concentration of Cl₂ is 0.93 M? The units should be M/s.

1. 1. A supermarket chain wanted to obtain information on the length of time (in minutes) required to service customers. They need to decide on the number of service counters needed for stores to be built in the future. To find the distribution of customer service times, a sample of 60 customers’ service times were recorded and are shown here:      

3.6        1.9        2.1        .3          .8         .2         1.0        1.4        1.8        1.6

1.4        .2         1.3        3.1        .4         2.3        1.8        4.5        .9         .7

1.6        1.9        5.2        .5          1.8        .3          1.1         .6         .7          .6

Find the mode and the 20^th percentile of the above data set.    

1.      If your firm calculates its Economic Capital due to Market Risk, Credit Risk, Operational Risk for the next 1 year as follows . . .    (10 points)

                  Market Risk           $323,000

                  Credit Risk             $515,000

                  Operational Risk    $ 83,270

         . . . what will be the firm's total Economic Capital . . .

         a.      If the correlations among the three types of capital are believed to be :

                  Market-Credit        0.4

                  Market-Operation 0.1

                  Credit-Operation   0.2

b.      If the correlations are all equal to 1.0:

d.      If you don't know the correlations, which measure is probably too high? which is                               probably too low? what might be a reasonable level to use?

Due to a recession, expected inflation this year is only 2.75%. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above 2.75%. Assume that the expectations theory holds and the real risk-free rate (r*) is 1.5%. If the yield on 3-year Treasury bonds equals the 1-year yield plus 1.0%, what inflation rate is expected after Year 1?

Madsen Motors's bonds have 24 years remaining to maturity. Interest is paid annually, they have a $1,000 par value, the coupon interest rate is 6%, and the yield to maturity is 8%. What is the bond's current market price?