two small spheres spaced 20.0 centimeters apart have equal charge.

Question 1

Two small spheres spaced 20.0 cm apart have equal charge.

How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57 x 10-21 N?

Number of Electrons = ?

Question 2

Begin with an explanation of market efficiency and what an anomaly is. What does it mean to test for an anomaly, and how can we interpret the evidence of stock return patterns like value, momentum, and gross profit within the context of market efficiency? Markets: Markets are the places where parties meet to carry out the exchange of goods. The parties in the exchange are usually sellers and buyers. Markets can assume many forms, like securities markets, where securities get exchanged or signify places where individuals seek to exchange specific products, like housing markets.

Question 3

Show work. Benny’s Bed Co. uses a periodic inventory system and the average cost retail method, to estimate ending inventory and cost of goods sold. The following data is available from the company records, for the month of September 2016: Beginning inventory: Cost $30,000 Retail $50,000

Net purchases: Cost $125,000 Retail $220,000

Net markups: Retail $15,000

Net markdowns: Retail $6,000

Net Sales: Retail $208,000

To the nearest thousand, estimated ending inventory is:

A. $41,000

B. $37,000

C. $51,000

D. None of these answer choices are correct.

Answer to question 1

Initially calculate the magnitude of charge on each small sphere using definition of electrostatic force between two charged spheres. Then use quantization of charge to find the excess number of electrons present on each sphere.

Here, is the coulomb’s constant.

The charge quantization is given as follows:

Here, q is the charge on a particle, n is the number of electrons, and e is the charge on an electron.
Step: 1

The electrostatic force

between two spheres separated by a distance r is given as follows:


is charge on one sphere, and

is charge on another sphere.



Answer to question 2

Market efficiency is a situation when the prices in the markets indicate the relevant available information. Therefore, efficient markets mean that the available information has already been incorporated in the prices, and there is no room to use the available information to beat the market as there are no overvalued or undervalued goods. On the other hand, a market anomaly is a contradiction in the price action and the stock market behavior of assets.

Testing for anomalies in the market evaluates the market by comparing the risk and return of an asset by applying models like the CAPM. From the stock market returns patterns, the markets cannot always be efficient unless there is access to a speedy price analyzing system, avoidance of emotions in decision making, and the investors’ accepting that losses and profits will be similar to other participants in the market.

Answer to question 3

To the nearest thousand, estimated ending inventory is:

The correct answer is letter A. $41,000

Ending inventory at cost = Ending Inventory Retail x Cost to Retail ratio

Ending inventory at cost = $71,000 x 0.56

Ending inventory at cost = $39,760

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