A charged particle with negative charge Q=-5C is moving with the speed v=400 m/s and the direction of the velocity vector is at 60 degrees above horizontal as shown in the figure below. The particle moves in the presence of the magnetic field B produced by the long horizontal wire with current I=100 A flowing to the right.

A.)Find the magnitude of the magnetic field B at the location of the particle, 10 cm above the wire. Give your answer in mT (10^-3 T) units.

B.)Find the direction of the magnetic field at the location of the particle.

Pick the correct answer out of multiple options

Pick the correct answer out of multiple options

C.)Find the magnitude of the magnetic force acting on the moving particle. (in newtons)

D.) Find the magnitude of the horizontal component of the magnetic force. (in newtons)

E.)We assume that the x axis is horizontal in the paper plane pointing to the right, y axis is in paper plane pointing up, and z axiis is horizontal pointing out of paper plane. Thus x-z is the horizontal plane.

In this coordinate system determine the direction of the horizontal component of the magnetic force (vettical component is either along y or opposite to the y axis)

Pick the proper orientatioin of the horizontal force component.

A 100 hp, 220 V, 1200 rpm DC shunt motor with an armature resistance of 0.05 ? and a field resistance of 50 ?. The motor has compensating windings, so armature reactance can be ignored. Mechanical and core losses may be ignored also. The motor is driving a drilling machine, TL ? (1/n). The motor is driving a load with a line current of 120 A and an initial speed of 1200 rpm. Assume Linear Magnetization curve
i. What is the motor speed if the field resistance is increased to 55?? While supplying a constant-torque load
ii. Calculate the motor speed as a function of the field resistance, assuming a constant-Load Torque. Plot the motor speed as a function of the field resistance.

v

Today is 15 June 2020. A forward contract maturing on 10 January 2021 is written on a bond paying coupon rate 3.00% maturing on 19 October 2030, with current price 99.12. The bond pays semi-annual coupons. The OIS curve is flat at 3.10% (with continuous compounding). What is an appropriate price for the forward contract?

v

As the book-keeper for your company you are required to create quarterly financial statements (Income Statement, Statement of Owner's Equity Balance Sheet and Statement of Cash Flows) in order to report on the financial activities of the company for the quarter (three months). In your accounting classes you learned about four types of adjustments: (1) prepaid expenses, (2) unearned revenues, (3) accrued revenues, and (4) accrued expenses.

It is now March 29th, and in preparation for creating the 1st quarter's financial statements ( as of 3/31), you have called a meeting with the Dept. Managers for Accounts Receivable and Accounts Payable to confirm deadlines that have to be met for March-related transactions. As the meeting is about to start the owner walks in - she sits quietly as you explain the deadlines, but as soon as you have finished she says "Well, for this quarter, if we have not paid March invoices by March 31, there is no need to record them in March. We can record/expense those invoices when we pay them in April or May."

Required:

Do you agree with the owner, or, do you feel that an adjusting entry is necessary in the situation described? If so - which type of adjusting entry is needed?

Why is the adjustment necessary? (Refer to concepts in the chapter) In your post:

a) discuss the impact (understated or overstated) on the accounts affected if the adjustment is not made, and

b) explain how the adjustment affects the appropriate financial statements

3, Assume one of the unpaid invoices is for $2,000 in Advertising. Show the type of adjusting entry you would create.

Select the most appropriate statement: In Standard Chartered Bank of Australia Ltd v Antico, the court held that the test for classifying an entity as a shadow director involves:

Select one:

a. None of these options apply

b. Checking whether the directors of the subsidiary company habitually comply with the instructions of the parent company, over a period

c. Checking whether the parent company has a nominee director on subsidiary company's board

d. Checking whether the parent company encouraged the subsidiary company to take out a loan

e. Whether the parent company influenced one of the business decisions of the subsidiary company

v

To illustrate how to conduct rate-of-change calculations, we will use the following example. Note that this is just an example; the data in the table below do not match the data collected in this experiment.

Using these numbers, you need to calculate the rate of change in the relative frequency of stickleback with a complete pelvis per 1,000 years.

Step 1. Calculate the relative frequency of stickleback with a complete pelvis in each layer using this formula:

In this example, layer 1 had a total of 20 fish and 15 had a complete pelvis; the relative frequency of fish with a complete pelvis is 15/20 = 0.75. In other words, 75% of fish in that layer had a complete pelvis.

For layer 2 the relative frequency of fish with a complete pelvis is 0.5.

Step 2. Calculate the rate of change in relative frequencies between layer 1 and layer 2—a span of 3,000 years.

To do that, you subtract the number of the older layer (layer 1) from that of the more recent neighboring layer (layer 2).

Thus, the change in relative frequency of stickleback with a complete pelvis between layer 1 and layer 2 = 0.5-0.75 = -0.25. (Note that it is a negative number because the relative

frequency of fish with a complete pelvis decreased.)

Step 3. Calculate the rate of change for 1,000-year increments. To do this, you must divide each rate of change by 3 because there are 3 1,000-year increments between layers 1 and 2, and between layers 2 and 3, and so on.

So, the rate of change in relative frequency of stickleback with a complete pelvis between layer 1 and layer 2 per 1,000 years = -0.25/3 = -0.083. In other words, for every thousand years between layer 1 and layer 2 there is an average 8.3% decrease in the relative frequency of fish with the complete pelvis.

First 3,000 years
(From layer 1 to layer 2)

?

Next 3,000 years
(From layer 2 to layer 3)

?

Next 3,000 years
(From layer 3 to layer 4)

Next 3,000 years
(From layer 4 to layer 5)

?

Next 3,000 years
(From layer 5 to layer 6)

?

Rate of change per
thousand years

?

1. A voltaic cell based on the reaction below has an E^°_cell of +0.30 V.

2Cr(s) + 3Fe²⁺(aq) à 2Cr³⁺(aq) + 3Fe(s)

1. What is the E_cell at 264 K when [Cr³⁺] = 1.41 x 10^-2 and [Fe²⁺] = 1.26 x 10^-2
2. What is ΔG under these conditions? ΔG° = -135 kJ  

Use Lee Kesler Correlation and Abbott Correlation to calculate Z and molar volume v for SF6 at 75oC and 30 bar. Compare the results from the two different correlations and comments

A spherical tank of diameter of 10 meters contains liquid toluene at 1 atmosphere at 25 oC. An initially filled tank is drained from the bottom such that the liquid level drops to half. As we drain the tank, toluene vaporizes. The enthalpy of vaporization of toluene at its normal boiling point, Tn =383.8 K, is 33.74 kJ/mol. Calculate the number of moles toluene evaporated from liquid to vapor phase. If the draining is isothermal, calculate the amount of heat provided by the atmosphere to the toluene in the tank.

A 5.87 %w/v solution (5.87g per 100.0 mL) of starch in water was found to have an osmotic pressure of 88.9 mmHg at 317.1 kelvin. Calculate the average molar mass of the starch used, taking 1.00 atm = 760.0 mmHg. The value of the gas constant, R , is 0.0821 L atm K^-1mol^-1. Present your answer in 3 signficant figures

Consider an incompressible flow in cylindrical coordinates with velocity field v = Cr^(a) θ^ where C is a constant (a) Show that the flow satisfies the Navier-Stokes equations for only two values of a. (b) Given that p(r; θ; z) = p(r) only, and neglecting gravity, find the pressure distribution for each case, assuming that the pressure at r = R is p0