1. A rod of mass 0.72 kg and radius 0.06 m rests on two parallel rails that are d = 0.12 m apart and L = 0.45 m long. The rod carries a current of I = 48 A. If it starts from rest, what is the speed of the rod as it leaves the rails if there is a uniform magnetic field of magnitude 0.24 T directed perpendicular to the rod and rails? Answer in units of m/s.

                        a) 23.1 m/s

                        b) 13.1 m/s

c) 15.7 m/s

d) 1.31 m/s

1. Consider a series RC circuit for which R = 0.9 MΩ, C = 4.5 μF, and V = 28 V. Find the charge on the capacitor 8 s after the switch is closed. Answer in units of μC.

A) 118 μC

                 B) 108 μC

                C) 358 μC

                D) 10.8 μC

1. Two equal charges of magnitude +1 C are separated by a distance of 1 km. What is the force acting between these two charges?

1. 0.9 N
2. 9 N
3. 90 N
4. 9000 N

The following data represent the 2019 monthly sales in units for the Pacific Region Sales Team of QualCase, Inc.

PROBLEM #1: Use the table above and the procedures learned in class to calculate the standard deviation (notated as s) of average monthly sales. What is the standard deviation of average monthly sales?

PROBLEM #2: Apply the results of your answer to Problem #1 and use the table below and the procedures learned in class to calculate the 95% confidence interval for average monthly sales in units. What is the 95% confidence interval (CI) for average monthly sales?

Please answer with a full solution. Thanks!

A Baseball is hit when it is 2.7 feet above the ground. It leaves the bat with n initial speed of 150 ft/sec making an angle of 18 ∘ with the horizontal. Assume a drag coefficient k=6.12. find the range and the flight time of the ball For projection with linear drag x = x 0 + v 0 k ( 1 − e − k t ) c o s α y = y 0 + v 0 k ( 1 − e − k t ) s i n α + 8 k ( 1 − k t − e − k t ) Where k is the drag coefficient and v_0 and \alpha are the projectiles initial speed and the lauch angle, and g is the acceleration of the gravity (32ft/sec^2) a. Flight time=2.93 sec; range=351.6 feet b. Flight time=2.81 sec; range=340.3 feet c. Flight time=3.16 sec; range=362.5 feet d. Flight time=2.01 sec; range=331.6 feet

Tere company has 4.3 million shares of common stock outstanding and 85,000 bonds outstanding, par value of $1,000 each. Each bond has a 6.8 percent annual coupon rate and the bonds have 23 years to maturity and is now selling at $789.23. (Based on the current price, its YTM is 9%) Coupon is paid annually. The common stock currently sells for $58.00 per share and has a beta of 0.90. The market risk premium is 7 percent and Treasury bills are yielding 5 percent and the company’s tax rate is 35 percent.

a. What are the weight of debt component (D/V) in the firm’s capital structure? (Round up your answer to the nearest two decimal)

b. What is the weight of equity component (E/V) in the firm’s capital structure? (Round up your answer to the nearest two decimal points)

c.If the company is evaluating a new investment project that has the same risk as the firm’s typical project, what rate should the firm use to discount the project’s cash flows

3. In ion mobility spectrometer, the ions are accelerated under a constant electric field in a cylindrical tube and the time of flight of the ions in this tube is measured. The ions are detected by using a sensor at the end of the tube. a) What type of sensor can be used to detect the ions? b) The experiment is performed at high frequencies to be able to decrease the effect of the noise. What type of noises can be present in this experiment?c) During the experiment, many devices are used together. What type of grounding can be used for this experimental setup to be able to prevent floating grounds and crosstalks? d)

The mobility of the ions is given as ? = ? ? 1 ? , where l, E and t are the length of the tube, the electric field strength and the time of flight, respectively. The data given in the table belongs to a specific type of spectrometer. By plotting this data, find the required length of the tube for an electric field strength of 10^4 V/cm.

Assume that the firework has a mass of m_0 = 0.30~\text{kg}m​0​​=0.30 kg and is launched from a cannon at an angle of \theta_0 = 41.8^\circθ​0​​=41.8​∘​​ with an initial velocity of | v_0 | = 20~\text{m/s}∣v​0​​∣=20 m/s. Just as the firework reaches its hight point in its trajectory, it explodes into two pieces. Immediately after the explosion, the first piece, with a mass of m_1 = 0.2~\text{kg}m​1​​=0.2 kg flies off at an angle \theta_1 = 150^\circθ​1​​=150​∘​​ relative to the positive (forward) horizontal axis at a velocity of | v_1 | = 5~\text{m/s}∣v​1​​∣=5 m/s relative to the ground. Calculate the trajectory angle, \theta_2θ​2​​ of the second piece immediately after the explosion. Assume the second piece has a mass of m_2 = 0.1~\text{kg}m​2​​=0.1 kg, neglect the effect of air resistance, and report your result as an angle relative to the positive (forward) horizontal axis.

There are two traffic lights on a commuter's route to and from work. Let X₁ be the number of lights at which the commuter must stop on his way to work, and X₂ be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n = 2).

μ = 1, σ² = 0.6

Calculate σ_To².

σ_To² =

How does it relate to σ², the population variance?

σ_To² =  · σ²

(d)

Let X₃ and X₄ be the number of lights at which a stop is required when driving to and from work on a second day assumed independent of the first day. With T_o = the sum of all four X_i's, what now are the values of E(T_o) and V(T_o)?

E(T_o)=V(T_o)=

(e)

Referring back to (d), what are the values of

P(T_o = 8) and P(T_o ≥ 7)

[Hint: Don't even think of listing all possible outcomes!]

P(T_o = 8)

=

P(T_o ≥ 7)

=

1. TRUE OR FALSE: High frequency nerve fibers course along the outer surface of the auditory nerve bundle.

2. Which cranial nerve is involved in sensory AND motor function of the tongue?

a. Trigeminal

b. Facial

c. Vagus

d. Glossopharyngeal

e. Hypoglossal

3. Select the structure or region innervated by the efferent fibers of each cranial nerve.

Trigeminal (V)

Facial (VII)

Glossopharyngeal (IX)

Vagus (X)

Hypoglossal (XII)

The choices are: Face, Larynx, Muscles of Mastication, None, Intrinsic & Extrinsic Tongue Muscles, Posterior 1/3 of Tongue

4. The vestibulocochlear nerve is primarily….

a. Efferent

b. Afferent

5. Most of the neurons that receive sensory information from the cochlea are attached to

a. OHCs

b. IHCs

6. Select the structure or region innervated by the afferent fibers of each cranial nerve.

Trigeminal (V)

Facial (VII)

Glossopharyngeal (IX)

Vagus (X)

Hypoglossal (XII)

The choices are: Anterior 2/3 of Tongue, None, Larynx, Face Lower Jaw Mouth, Posterior 1/3 of Tongue, Cochlea

Adrian is a salesperson who represents several wholesale companies. On January 2, 2018, she receives by mail a commission check from Ace Distributors in the amount of $10,000 and dated December 30, 2017. Adrian is concerned about the year in which the $10,000 is taxable. Although the check is dated 2017, she contends that it would have been unreasonable for her to drive the 50 miles to the Ace offices on a holiday to collect the check. Further, Adrian maintains that even if she had made the trip to collect the check, by the time she returned home, her bank would have closed and she could not have received credit for the check until after the first of the year. Adrian would like you to determine whether she should include the $10,000 on her 2017 or 2018 tax return. §61; Reg. §1.451-1; Murphy v. U.S., 71 AFTR 2d 93-1862 (CA9, 1993); Kahler, 18 T.C. 31 (1942); Zahirdueen Premji, et ux. v. Commissioner, TC Memo 1996-304.

ETHICS

Why Be Moral?

Plato tells the story of Gyges (The Republic, Book II), a shepherd, who finds a magic ring. When Gyges turns the ring 180˚, he becomes invisible, and upon turning the ring again, he reappears. Under the cloak of invisibility he performs a series of unethical and immoral acts, including murder. He is a villain and rogue yet becomes wealthy and famous. Gyges not only accrues benefits by appearing to be moral but also enjoys the bounty reaped from wrongdoing with no punishing consequences – he will never be caught!

Now imagine a second magic ring given to a just and upright individual. Will the temptation to engage in wrong-doing for personal gain be too great? Knowing there will be no punishing consequences, would a good person quickly turn into a scoundrel? Given the situation just described, why the need to be moral?

What would you do if you were given a Gyges ring?

Discuss your answer in 100-150 words minimum.

For further references:

https://www.youtube.com/watch?v=4qjGp6TWqe4

https://www.youtube.com/watch?v=oMl4AeBpVQE