Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 79.0 µC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of 2.00 cm.

(a) What is the electric potential of each sphere? r = 6.00 m: ]V

r = 2.00 cm: V

(b) What is the electric field at the surface of each sphere?

r = 6.00 m: magnitude____________ V/m? direction_________?

r = 2.00 cm: magnitude ____________ V/m? direction________?

Two 14-cm-diameter electrodes 0.44 cm apart form a parallel-plate capacitor. The electrodes are attached by metal wires to the terminals of a 20 V battery.

A. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes while the capacitor is attached to the battery? Find Q, E, and ∆V.

B. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes after insulating handles are used to pull the electrodes away from each other until they are 0.88 cm apart? The electrodes remain connected to the battery during this process. Find Q, E, and ∆V.

C. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes after the original electrodes (not the modified electrodes of part B) are expanded until they are 28 cm in diameter while remaining connected to the battery? Find Q, E, and ∆V.

Potentiometry is to be used to determine the concentration of a metal dication, M2+,
in water. The table below shows the dependence of the cell potential on [M2+]
(please note some data has been deliberately omitted).

Q 2(a)
With the aid of a graph, determine the Nernst slope and the Standard Cell Potential,
Eo’. Comment on the values obtained and state the number of electrons transferred.

Q 2(b)
Clearly explaining your reasoning, use the graph to estimate the potentials that are
missing in the table. Comment on the likely accuracy of your predictions.

Q 2(c)
The Standard Cell Potential for Cd2+/Cd is -0.43V, for Pb2+/Pb is -0.29 V and for
Cu2+/Cu is +0.34 V. Clearly explaining your reasoning, determine the likely identity
of the metal cation.

Q 2(d)
If the potential measured for an unknown solution is -0.318 V, determine the
concentration of M2+ in the sample.

Write a program in C++ that converts a positive integer into the Roman number system. The Roman number system has digits

I      1

V    5

X    10

L     50

C     100

D    500

M    1,000

Numbers are formed according to the following rules. (1) Only numbers up to 3,999 are represented. (2) As in the decimal system, the thousands, hundreds, tens, and ones are expressed separately. (3) The numbers 1 to 9 are expressed as

I             1

II            2

III        3

IV        4

V           5

VI        6

VII        7

VIII       8

IX        9

As you can see, an I preceding a V or X is subtracted from the value, and you can never have more than three I’s in a row. (4) Tens and hundreds are done the same way, except that the letters X, L, C and C, D, M are used instead of I and V, X, respectively.

Can this be done in C++ without arrays

Electric field mapping Lab Physics 2212k

1) Describe the central electric field (E) shape in the case of two parallel plates.

2) Do the distances between adjacent equipotential lines between the two parallel plates, approximately measure the same? Calculate an average value for the magnitude of the electric field between the plates.

3) Does the electric field extend beyond the edges of the plates in the two parallel plates experiment?

4) Is it possible for two different equipotential lines or two lines of forces to cross each other? Explain.

5) How does the electric field strength vary with the distance from an isolated charged particle?

6) What is the equipotential shape close to "point" electrode?
7) Where is the electric field most nearly uniform in the two opposite point charges experiment?
8) What is the central equipotential shape in the two opposite point charges experiment?

A first year statistics class took part in a simple experiment. Each person took their pulse rate. They then flipped a coin and, if it came up tails, they ran in place for one minute. Everyone then took their pulse a second time. Of the 92 students in the class, 32 ran in place. In repetitions of this experiment, the number that run in place should have a binomial distribution with n = 92 trials and probability of success p = 1/2. a. Simulate 100 repetitions of this experiment using the commands given below. In how many of the 100 experiments did 32 or fewer people have to run? b. Make a histogram of the 100 observations and describe its important characteristics (shape, location, spread and outliers). c. Using software, calculate the probability of getting 32 or fewer tails in 92 tosses of a fair coin. d. Does it seem likely that only 32 of the 92 students got tails? Give a reasonable explanation for what happened.

The fertilizers A and B, with C as the control (no fertilizer) used in a tomato experiment. Four (4) replicates for each treatment are obtained, and the data of the completely randomized design for tomato plants as the total yield is summarized as follows: ? = ????? ??? ????????? ? ? ABC T1 = 26.1 T3 = 26.3 ?1 = 4 ?3 = 4 x2 =600.0 ij T2 = 31.8 ?2 = 4

(a) Write the assumptions of a single factor ANOVA.

(b) Formulate the null and the alternative hypothesis for the tomato plants experiment.

(c) Construct an ANOVA table for the experiment.

(d) Calculate the value of the test statistic, state the degrees of freedom, and approximate the p-value.

(e) Would you reject H0 or fail to reject H0 at 5% level of significance?

(f) Write your conclusion.

(g) Use Tukey’s procedure to identify the significant differences in the mean yield for the three treatments. Be sure to order the treatment means and underscore that don`t differ.

(h) Which fertilizer would you recommend?

Calcium and vitamin D. Vitamin D is needed for the body to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Three doses of calcium will be used: 0, 250, and 500 milligrams per day (mg/day). The doses of vitamin D will be 0, 75, and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the study will be 45 men and 45 women.

a. What are the factors and the treatments for this experiment?

b. Draw a picture explaining how you would randomize the 90 college students to the treatments.

c. Use a spreadsheet to carry out the randomization.

d. Is there a placebo in this experiment? Explain your answer.

A student performs an experiment in which a computer is used to simulate drawing a random sample of size p from a larger population. The proportion of the population with the characteristics of interest to the student is p. Let the random variable P represent the sample proportion observed in the experiment. If p=1/5, find the smallest integer value of the sample size such that the standard deviation of P is less than or equal to 0.01 Done, answer n>=1600. My question is from

Given “Each of 23 students in a class independently performs the experiment described and each student calculates an approximate 95% confidence interval for P using sample proportions for their sample. It is subsequently found that exactly one of the 23 confidence intervals calculated by the class does not contain the value of P”

Find “Two of the confidence intervals calculated by the class are selected at random without replacement. Find the probability that exactly one of the selected confidence intervals does not contain the value of P.

A Pelton wheel is a turbine that is the main component of a hydroelectric power plant. A Pelton wheel is made of a series of buckets arranged in a circular disk as shown in the figure below. A water jet is shot at the buckets and after striking those buckets emerges out at an angle with respect to the initial jet.
A hydroelectric power plant is to be constructed in which water drops from a lake located at an elevation of 100 meters above the Pelton wheel location. You are consulted as an engineer to advise about what size of Pelton wheel (what size of outer diameter) to buy to produce a power output of 500,000 Watts.
The customer that asked for your consultation wants you to design an experiment with a model Pelton wheel that has a diameter of 50 cm.
Design the required experiment (pick values when you need, introduce variables as needed). Suggest to the customer (according to the output of your experiment) what Pelton wheel diameter is needed to produce the power of 500,000 Watts