You realize early on that it will be essential to determine Zoopledorf’s surface gravity gZ — the magnitude of the gravitational acceleration near the planet’s surface. Fortunately, the expedition’s supplies include a small ball and two motion sensors. The motion sensors record the time when an object passes in front of them, but no other information about the object’s motion.

To measure gZ, you set up the motion sensors, one a distance h directly above the other. You toss the ball vertically upward so that it passes each motion sensor twice: once on the way up, and once on the way down. Explain how you can use the measured height h between the two motion sensors and the timestamps the sensors record (four in total) to determine Zoopledorf’s surace gravity gZ. State any assumptions you make about the motion of the ball, and discuss factors that might reduce the accuracy of your measurement.

1.) A hiker, who weighs 860 N, is strolling through the woods and crosses a small horizontal bridge. The bridge is uniform, weighs 3220 N, and rests on two concrete supports, one on each end. He stops 1/4 of the way along the bridge. What is the magnitude of the force that a concrete support exerts on the bridge (a) at the near end and (b) at the far end?

2.) A jet transport has a weight of 1.09 x 106 N and is at rest on the runway. The two rear wheels are 17.0 m behind the front wheel, and the plane's center of gravity is 11.2 m behind the front wheel. Determine the normal force exerted by the ground on (a) the front wheel and on (b) each of the two rear wheels.

3.) A clay vase on a potter's wheel experiences an angular acceleration of 8.38 rad/s² due to the application of a 18.5-N m net torque. Find the total moment of inertia of the vase and potter's wheel.

20.

Which of the following statements is correct regarding cost curves?   There is more than one correct answer to this question. You must mark all of the correct answers to receive full credit for this question.

Group of answer choices

The total fixed cost curve is a horizontal line.

The average total cost curve and average variable cost curve get closer to each other as you move from left to right in the graph.

The average fixed cost curve is continually downward sloping.

The total variable cost curve and total cost curve have exactly the same shape.

The marginal cost curve passes through the minimum points of the average total cost curve and average fixed cost curve.

The slope of the total cost curve is marginal cost.

35.

Which of the following is correct regarding indifference curves and budget lines?

Group of answer choices

A decrease in the consumer’s budget causes an indifference curve to shift left.

The actual combination chosen by a consumer is found where an indifference curve crosses over the budget line.

An increase in the consumer’s budget causes the budget line to rotate counter-clockwise.

None of the choices listed is correct.

Along an indifference curve the consumer’s marginal utility is constant.

36.

When a hair salon charged $20 for a haircut it served 300 customers in a day. When it increased the price to $24, it served 240 customers in a day. What is the price elasticity of demand (in absolute value)?

Group of answer choices

1.22

1.00

0.82

1.34

1.65

1) Baltimore Furniture Inc. owns two factories, each of which produces three types of tables – the deluxe, medium and the standard. The company has a contract to supply tables to a newly built hotel in downtown Washington DC comprising of at least 12 deluxe tables, 8 medium tables and 24 standard tables. Each factory produces a certain number of tables during each hour it operates. Factory 1 produces 6 deluxe tables and 2 medium tables. Factory 2 produces 2 deluxe tables, 2 medium tables and 12 standard tables. It costs Baltimore Inc. $150 per hour to produce each table in factory 1 and it costs $120 per hour to produce each table from factory 2. The Company wants to determine the number of hours it needs to operate each factory so that it could meet up with its contract at the lowest cost. Hints: You are required to minimize cost assuming that factory 1 = X and factory 2 = Y.

a. Formulate a linear programming model for this problem. (15 points)

b. Represent this problem on a graph using the attached graph paper. Show the feasible region. (10 points)

c. Solve this model by using graphical analysis showing the optimal solution and the rest of the corner points as well as the costs.

QUESTION 6

1. Other things equal, as perceived risk falls for a country,

QUESTION 7

1. Suppose investors and currency speculators expect that a currency will depreciate in about six months. This will cause the currency to begin depreciating now.

True

False

QUESTION 8

1. Which of the following tends to cause markets to expect a currency to have a higher value in the near future?

QUESTION 9

1. Suppose a country maintains a fixed exchange rate below the market exchange rate.

QUESTION 10

1. Suppose a country borrows somewhat more internationally than in the past. Keeping other things equal (like inflation and risk), this country's currency tends to weaken.

True

False

1) A 6.47 mm high firefly sits on the axis of, and 11.5 cm in front of, the thin lens A, whose focal length is 6.11 cm . Behind lens A there is another thin lens, lens B, with a focal length of 20.7 cm . The two lenses share a common axis and are 61.5 cm apart. Is the image of the firefly that lens B forms real or virtual? What is the height of this image? Express the answer as a positive number (nm)?

image distance from lens B cm:

2)

One of the inevitable consequences of aging is a decrease in the flexibility of the lens. This leads to the farsighted condition called presbyopia (elder eye). Almost every aging human will experience it to some extent. However, for the myopic, or nearsighted, person it is possible that far vision will be limited by a subpar far point and near vision will be hampered by an expanding near point. One solution is to wear bifocal lenses that are diverging in the upper half to correct the nearsightedness and converging in the lower half to correct the farsightedness.

Suppose one such individual asks for your help. The patient complains that she can’t see far enough to safely drive (her far point dfar=114 cmd and she can’t read the font of her smart phone without holding it beyond arm’s length (her near point dnear=81.0 cm? Prescribe the bifocals that will correct the visual issues for your patient.

a)What is the focal length fns of the part of the bifocal lens that corrects the patient's nearsightedness?

b) What is the focal length ffsffs of the part of the bifocal lens that corrects the patient's farsightedness?

Rub wool on the Styrofoam cup and hold it over tiny bits of paper on the lab table. What happens to the paper?

Put down some dark paper and a pile of salt and observe the interaction with the charged cup. What happens to the salt?

Consider the fundamental forces: gravity, electromagnetic, as observed with the interactions with salt and pepper. How does this demonstrate the relative strengths (which is stronger?) of these fundamental forces?

Rub the balloon with the wool cloth (or with your own hair). What kind of charge does the balloon acquire? Bring the charged balloon near the bits of paper or salt. Will it “pick up” tiny bits of paper? Yes Observe how distance affects the interactions. What difference does distance make?

Charge it up again and press against a wall made of sheetrock (not brick or stone). Will it stick to the wall? No Go to the sink, turn on the water so that there is a small, steady stream. “Charge up” your plastic tube and hold it close to the top of the stream of water. What happens and why?

Now rub the plastic tube with a square cut from a cooking bag. Write a procedure that you can use to determine if the plastic tube has acquired a net positive or a net negative charge from the cooking bag. (you can use some of the other materials).

Bring the plastic tube charged with the cooking bag near the aluminum can. What happens to the aluminum can when the tube charged from the cooking bag is held near it?

Scenario 14-4 The information below applies to a competitive firm that sells its output for $40 per unit. • When the firm produces and sells 150 units of output, its average total cost is $24.50. • When the firm produces and sells 151 units of output, its average total cost is $24.55. Refer to Scenario 14-4. Let Q represent the quantity of output. Which of the following magnitudes has the same value at Q = 150 and at Q = 151?

1. Lower-of-Cost-or-Market Inventory

On the basis of the following data, determine the value of the inventory at the lower of cost or market. Assemble the data in the form illustrated in Exhibit 9.

2. Perpetual Inventory Using FIFO

Beginning inventory, purchases, and sales data for portable DVD players are as follows:

The business maintains a perpetual inventory system, costing by the first-in, first-out method.

Determine the cost of the merchandise sold for each sale and the inventory balance after each sale, presenting the data in the form illustrated in Exhibit 3.

a. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Merchandise Sold Unit Cost column and in the Inventory Unit Cost column.

b. Based upon the preceding data, would you expect the inventory to be higher or lower using the last-in, first-out method?

Book

Calculator

Rose Company has a relevant range of production between 10,000 and 25,000 units. The following cost data represents average cost per unit for 16,000 units of production.

Using the cost data from Rose Company, answer the following questions:

A. If 10,000 units are produced, what is the variable cost per unit?

Variable cost per unit $

B. If 17,000 units are produced, what is the variable cost per unit?

Variable cost per unit $

C. If 21,000 units are produced, what are the total variable costs?

Total variable costs $

D. If 12,000 units are produced, what are the total variable costs?

Total variable costs $

E. If 19,000 units are produced, what are the total manufacturing overhead costs incurred?

Total manufacturing overhead costs $

F. If 23,000 units are produced, what are the total manufacturing overhead costs incurred?

Total manufacturing overhead costs $

G. If 19,000 units are produced, what are the per unit manufacturing overhead costs incurred? If required, round final answer to two decimal places.

Manufacturing overhead costs per unit $

H. If 25,000 units are produced, what are the per unit manufacturing overhead costs incurred? If required, round final answer to two decimal places.

Manufacturing overhead costs per unit $