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Question: During a storm, a car traveling on


During a storm, a car traveling on a level horizontal road comes upon a bridge that has washed out. The driver must get to the other side, so he decides to try leaping the river with his car. The side of the road the car is on is 21.3 m above the river, while the opposite side is only 1.8 m above the river. The river itself is a raging torrent 48.0 m wide.
(a) How fast should the car be traveling at the time it leaves the road in order just to clear the river and land safely on the opposite side?
(b) What is the speed of the car just before it lands on the other side?


> (a) The recommended daily allowance (RDA) of the trace metal magnesium is 410 mg/day for males. Express this quantity in mg/day. (b) For adults, the RDA of the amino acid lysine is 12 mg per kg of body weight. How many grams per day should a 75-kg adult

> In the fall of 2002, scientists at Los Alamos National Laboratory determined that the critical mass of neptunium-237 is about 60 kg. The critical mass of a fissionable material is the minimum amount that must be brought together to start a nuclear chain

> The following conversions occur frequently in physics and are very useful. (a) Use 1 mi = 5280 ft and 1 h = 3600 s to convert 60 mph to units of ft/s. (b) The acceleration of a freely falling object is 32 ft/s2. Use 1 ft = 30.48 cm to express this accele

> A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L 1L = liter2. Use the conver

> While driving in an exotic foreign land, you see a speed limit sign that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed

> How many years older will you be 1.00 giga second from now? (Assume a 365-day year.)

> A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your an

> A Honda Civic travels in a straight line along a road. The car’s distance x from a stop sign is given as a function of time t by the equation x(t)= at2 - bt3, where a = 1.50 m/s2 and b = 0.0500 m/s3. Calculate the average velocity of the car for each tim

> The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L = 1000 cm3 and 1 in. = 2.5

> Starting from a pillar, you run 200 m east (the +x-direction) at an average speed of 5.0 m/s and then run 280 m west at an average speed of 4.0 m/s to a post. Calculate (a) your average speed from pillar to post and (b) your average velocity from pillar

> How many nanoseconds does it take light to travel 1.00 ft in vacuum? (This result is a useful quantity to remember.)

> According to the label on a bottle of salad dressing, the volume of the contents is 0.473 liter (L). Using only the conversions 1 L = 1000 cm3 and 1 in. = 2.54 cm, express this volume in cubic inches.

> Starting with the definition 1 in. = 2.54 cm, find the number of (a) kilometers in 1.00 mile and (b) feet in 1.00 km.

> A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance. Find (a) the height of the tabletop above the floor; (b) the horizontal distance from the edge of the table to the point whe

> A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by

> The coordinates of a bird flying in the xy-plane are given by x(t)= at and y(t)= 3.0 m - bt2, where a = 2.4 m/s and b = 1.2 m/s2. (a) Sketch the path of the bird between t = 0 and t = 2.0 s. (b) Calculate the velocity and acceleration vectors of the bird

> A dog running in an open field has components of velocity vx = 2.6 m>s and vy = -1.8 m/s at t1 = 10.0 s. For the time interval from t1 = 10.0 s to t2 = 20.0 s, the average acceleration of the dog has magnitude 0.45 m/s2 and direction 31.0° measured from

> The official’s truck in Fig. 2.2 is at x1 = 277 m at t1 = 16.0 s and is at x2 = 19 m at t2 = 25.0 s. (a) Sketch two different possible x-t graphs for the motion of the truck. (b) Does the average velocity vav-x during the time interval

> A jet plane is flying at a constant altitude. At time t1 = 0, it has components of velocity vx = 90 m/s, vy = 110 m/s. At time t2 = 30.0 s, the components are vx = -170 m/s, vy = 40 m/s. (a) Sketch the velocity vectors at t1 and t2. How do these two vect

> The position of a squirrel running in a park is given by

> An airplane pilot wishes to fly due west. A wind of 80.0 km/h (about 50 mi/h) is blowing toward the south. (a) If the airspeed of the plane (its speed in still air) is 320.0 km/h (about 200 mi/h), in which direction should the pilot head? (b) What is the

> Canada geese migrate essentially along a north–south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. If one goose is flying at 100 km>h relative to the air but a 40-km/h wind is blowing from west to

> (a) In which direction should the motorboat in Exercise 3.35 head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 4.2 m/s.) (b) What is the velocity of the boat relative to the

> A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (a) What is your velocity (magnitude and direction) relative to the earth? (b) How

> The nose of an ultra-light plane is pointed due south, and its airspeed indicator shows 35 m/s. The plane is in a 10-m/s wind blowing toward the southwest relative to the earth. (a) In a vector addition diagram, show the relationship of

> A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.50 m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river.

> Two piers, A and B, are located on a river; B is 1500 m downstream from A (Fig. E3.32). Two friends must make round trips from pier A to pier B and return. One rows a boat at a constant speed of 4.00 km/h relative to the water; the other walks on the sho

> A “moving sidewalk” in an airport terminal moves at 1.0 m>s and is 35.0 m long. If a woman steps on at one end and walks at 1.5 m/s relative to the moving sidewalk, how much time does it take her to reach the opposite end if she walks (a) in the same dir

> Can you find two vectors with different lengths that have a vector sum of zero? What length restrictions are required for three vectors to have a vector sum of zero? Explain.

> A railroad flatcar is traveling to the right at a speed of 13.0 m>s relative to an observer standing on the ground. Someone is riding a motor scooter on the flatcar (Fig. E3.30). What is the velocity (magnitude and direction) of the scooter relative t

> A web page designer creates an animation in which a dot on a computer screen has position (a) Find the magnitude and direction of the dot’s average velocity between t = 0 and t = 2.0 s. (b) Find the magnitude and direction of the instan

> At its Ames Research Center, NASA uses its large “20-G” centrifuge to test the effects of very large accelerations (“hyper gravity”) on test pilots and astronauts. In this device, an arm 8.84 m long rotates about one end in a horizontal plane, and an ast

> The radius of the earth’s orbit around the sun (assumed to be circular) is 1.50 × 108 km, and the earth travels around this orbit in 365 days. (a) What is the magnitude of the orbital velocity of the earth, in m/s? (b) What is the radial acceleration of

> A Ferris wheel with radius 14.0 m is turning about a horizontal axis through its center (Fig. E3.27). The linear speed of a passenger on the rim is constant and equal to 6.00 m/s. What are the magnitude and direction of the passenger’s

> A model of a helicopter rotor has four blades, each 3.40 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at 550 rev/min. (a) What is the linear speed of the blade tip, in m/s? (b) What is the radial acceleration of t

> A jet plane comes in for a downward dive as shown in Fig. E3.25. The bottom part of the path is a quarter circle with a radius of curvature of 280 m. According to medical tests, pilots will lose consciousness when they pull out of a dive at an upward acc

> Our balance is maintained, at least in part, by the endolymph fluid in the inner ear. Spinning displaces this fluid, causing dizziness. Suppose that a skater is spinning very fast at 3.0 revolutions per second about a vertical axis through the center of

> The earth has a radius of 6380 km and turns around once on its axis in 24 h. (a) What is the radial acceleration of an object at the earth’s equator? Give your answer in m/s2 and as a fraction of g. (b) If arad at the equator is greater than g, objects w

> A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 20.0 m/s. A 1.0-kg stone is thrown from the basket with an initial velocity of 15.0 m/s perpendicular to the path of the descending balloon, as measured relative

> Can you have zero velocity and nonzero average acceleration? Zero velocity and nonzero acceleration? Use a vx-t graph to explain, and give an example of such motion.

> A man stands on the roof of a 15.0-m-tall building and throws a rock with a speed of 30.0 m/s at an angle of 33.0° above the horizontal. Ignore air resistance. Calculate (a) the maximum height above the roof that the rock reaches; (b) the speed of the ro

> Firemen use a high-pressure hose to shoot a stream of water at a burning building. The water has a speed of 25.0 m/s as it leaves the end of the hose and then exhibits projectile motion. The firemen adjust the angle of elevation a of the hose until the w

> A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 = 0 to t2 = 12.0 s, the rhino’s average velocity has x-component -3.8 m/s and y-component 4.9 m/s. At time t2 = 12.0 s, (a) what are the x- and y-coordinates of th

> In a carnival booth, you can win a stuffed giraffe if you toss a quarter into a small dish. The dish is on a shelf above the point where the quarter leaves your hand and is a horizontal distance of 2.1 m from this point (Fig. E3.19). If you toss the coin

> A shot putter releases the shot some distance above the level ground with a velocity of 12.0 m/s, 51.0° above the horizontal. The shot hits the ground 2.08 s later. Ignore air resistance. (a) What are the components of the shot’s acceleration while in fl

> A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9° above the horizontal. Ignore air resistance. (a) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? (

> On level ground a shell is fired with an initial velocity of 40.0 m>s at 60.0° above the horizontal and feels no appreciable air resistance. (a) Find the horizontal and vertical components of the shell’s initial velocity. (b) How long does it take the sh

> Inside a starship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance D from the foot of the table. This starship now lands on the unexplored Planet X. The commander, Captain Curious, rolls the same ball off the same

> The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0° above the horizontal, some of the tiny critters have reached a maximum height of 58.7 cm above the level ground. (a) What was the takeoff spee

> Can you have zero acceleration and nonzero velocity? Use a vxt graph to explain.

> How many correct experiments do we need to disprove a theory? How many do we need to prove a theory? Explain.

> Marshall Company, organized in 2016, has set up a single account for all intangible assets. The following summary discloses the debit entries that have been recorded during 2017. Instructions Prepare the necessary entries to clear the Intangi

> On July 31, 2017, Mexico Company paid $3,000,000 to acquire all of the common stock of Conchita Incorporated, which became a division of Mexico. Conchita reported the following balance sheet at the time of the acquisition.It was determined at the date of

> Alladin Company purchased Machine #201 on May 1, 2017. The following information relating to Machine #201 was gathered at the end of May.Price…………………………………………………………………….$85,000Credit terms………………………………………………………2/10, n/30Freight-in…………………………………………………………….$

> Fields Laboratories holds a valuable patent (No. 758-6002-1A) on a precipitator that prevents certain types of air pollution. Fields does not manufacture or sell the products and processes it develops. Instead, it conducts research and develops products

> The inventory of Oheto Company on December 31, 2017, consists of the following items.1. Determine the inventory as of December 31, 2017, by the LCNRV method, applying this method to each item. 2. Determine the inventory by the LCNRV method, applying the

> The following information has been taken from the ledger accounts of Isaac Stern Corporation. Total income since incorporation……………$317,000 Total cash dividends paid…………………………60,000 Total value of stock dividends distributed…. 30,000 Gains on treasury s

> The stockholders’ equity accounts of G.K. Chesterton Company have the following balances on December 31, 2017. Common stock, $10 par, 300,000 shares issued and outstanding………..$3,000,000 Paid-in capital in excess of par—common stock………………………………………1,200,0

> The common stock of Alexander Hamilton Inc. is currently selling at $120 per share. The directors wish to reduce the share price and increase share volume prior to a new issue. The per share par value is $10; book value is $70 per share. Nine million sha

> For a recent 2-year period, the balance sheet of Santana Dotson Company showed the following stockholders’ equity data at December 31 (in millions). Instructions a. Answer the following questions. 1. What is the par value of the com

> On June 30, 2017, Mischa Auer Company issued $4,000,000 face value of 13%, 20-year bonds at $4,300,920, a yield of 12%. Auer uses the effective-interest method to amortize bond premium or discount. The bonds pay semiannual interest on June 30 and -Decemb

> Presented below are two independent situations. a. George Gershwin Co. sold $2,000,000 of 10%, 10-year bonds at 104 on January 1, 2017. The bonds were dated January 1, 2017, and pay interest on July 1 and January 1. If Gershwin uses the straight-line me

> Assume the same information as E14-6. Instructions Set up a schedule of interest expense and discount amortization under the effective-interest method. (Hint: The effective-interest rate must be computed.) From E14-6: Devon Harris Company sells 10% bo

> Devon Harris Company sells 10% bonds having a maturity value of $2,000,000 for $1,855,816. The bonds are dated January 1, 2017, and mature January 1, 2022. Interest is payable annually on January 1. Instructions Set up a schedule of interest expense an

> Presented below are two independent situations. 1. On January 1, 2017, Simon Company issued $200,000 of 9%, 10-year bonds at par. Interest is payable quarterly on April 1, July 1, October 1, and January 1. 2. On June 1, 2017, Garfunkel Company issued $

> Vargo Corp. owes $270,000 to First Trust. The debt is a 10-year, 12% note due December 31, 2017. Because Vargo Corp. is in financial trouble, First Trust agrees to extend the maturity date to December 31, 2019, reduce the principal to $220,000, and reduc

> At December 31, 2017, Burr Corporation owes $500,000 on a note payable due February 15, 2018. a. If Burr refinances the obligation by issuing a long-term note on February 14 and using the proceeds to pay off the note due February 15, how much of the $50

> Using the same information as in E14-22 and E14-24, answer the following questions related to American Bank (creditor). Instructions a. Compute the loss American Bank will suffer under this new term modification. Prepare the journal entry to record the

> Use the same information as in E14-22 above except that American Bank reduced the principal to $1,900,000 rather than $2,400,000. On January 1, 2021, Barkley pays $1,900,000 in cash to American Bank for the principal. Instructions a. Can Barkley Compan

> Using the same information as in E14-22, answer the following questions related to American Bank (creditor). Instructions a. What interest rate should American Bank use to calculate the loss on the debt restructuring? b. Compute the loss that American

> On December 31, 2017, American Bank enters into a debt restructuring agreement with Barkley Company, which is now experiencing financial trouble. The bank agrees to restructure a 12%, issued at par, $3,000,000 note receivable by the following modificatio

> Strickland Company owes $200,000 plus $18,000 of accrued interest to Moran State Bank. The debt is a 10-year, 10% note. During 2017, Strickland’s business deteriorated due to a faltering regional economy. On December 31, 2017, Moran State Bank agrees to

> Fallen Company commonly issues long-term notes payable to its various lenders. Fallen has had a pretty good credit rating such that its effective borrowing rate is quite low (less than 8% on an annual basis). Fallen has elected to use the fair value opti

> On January 1, 2017, Margaret Avery Co. borrowed and received $400,000 from a major customer evidenced by a zero-interest-bearing note due in 3 years. As consideration for the zero-interest-bearing feature, Avery agrees to supply the customer’s inventory

> Presented below are two independent situations. a. On January 1, 2017, Robin Wright Inc. purchased land that had an assessed value of $350,000 at the time of purchase. A $550,000, zero-interest-bearing note due January 1, 2020, was given in exchange. Th

> On January 1, 2017, Ellen Carter Company makes the two following acquisitions. 1. Purchases land having a fair value of $200,000 by issuing a 5-year, zero-interest-bearing promissory note in the face amount of $337,012. 2. Purchases equipment by issuin

> Jason Day Company had bonds outstanding with a maturity value of $300,000. On April 30, 2017, when these bonds had an unamortized discount of $10,000, they were called in at 104. To pay for these bonds, Day had issued other bonds a month earlier bearing

> The following are three different and unrelated situations involving depreciation accounting. Answer the question(s) at the end of each situation. Situation I: Recently, Broderick Company experienced a strike that affected a number of its operating plant

> On June 30, 2009, County Company issued 12% bonds with a par value of $800,000 due in 20 years. They were issued at 98 and were callable at 104 at any date after June 30, 2017. Because of lower interest rates and a significant change in the company’s cre

> Matt Perry, Inc. had outstanding $6,000,000 of 11% bonds (interest payable July 31 and January 31) due in 10 years. On July 1, it issued $9,000,000 of 10%, 15-year bonds (interest payable July 1 and January 1) at 98. A portion of the proceeds was used to

> On January 2, 2012, Banno Corporation issued $1,500,000 of 10% bonds at 97 due December 31, 2021. Interest on the bonds is payable annually each December 31. The discount on the bonds is also being amortized on a straight-line basis over the 10 years. (S

> Karen Austin Inc. has issued three types of debt on January 1, 2017, the start of the company’s fiscal year. a. $10 million, 10-year, 15% unsecured bonds, interest payable quarterly. Bonds were priced to yield 12%. b. $25 million par of 10-year, zero-c

> On January 1, 2017, Aumont Company sold 12% bonds having a maturity value of $500,000 for $537,907.37, which provides the bondholders with a 10% yield. The bonds are dated January 1, 2017, and mature January 1, 2022, with interest payable December 31 of

> On December 31, 2017, Kate Holmes Company has $7,000,000 of short-term debt in the form of notes payable to Gotham State Bank due in 2018. On January 28, 2018, Holmes enters into a refinancing agreement with Gotham that will permit it to borrow up to 60%

> On December 31, 2017, Hattie McDaniel Company had $1,200,000 of short term debt in the form of notes payable due February 2, 2018. On January 21, 2018, the company issued 25,000 shares of its common stock for $38 per share, receiving $950,000 proceeds af

> Green Day Hardware Company’s payroll for November 2017 is summarized below. At this point in the year, some employees have already received wages in excess of those to which payroll taxes apply. Assume that the state unemployment t

> The payroll of YellowCard Company for September 2016 is as follows. Total payroll was $480,000, of which $110,000 is exempt from Social Security tax because it represented amounts paid in excess of $118,500 to certain employees. The amount paid to employ

> Matt Broderick Company began operations on January 2, 2016. It employs 9 individuals who work 8-hour days and are paid hourly. Each employee earns 10 paid vacation days and 6 paid sick days annually. Vacation days may be taken after January 15 of the yea

> Assume the bonds in BE14-6 were issued for $644,636 and the effective-interest rate is 6%. Prepare the company’s journal entries for a. the January 1 issuance, b. the July 1 interest payment, and c. the December 31 adjusting entry. From BE14-6: On Ja

> Presented below is information related to Carver Inc. Instructions a. Compute the following ratios or relationships of Carver Inc. Assume that the ending account balances are representative unless the information provided indicates differently. 1. Cu

> Prior Company’s condensed financial statements provide the following information. Instructions a. Determine the following for 2017. 1. Current ratio at December 31. 2. Acid-test ratio at December 31. 3. Accounts receivable turnov

> Sprague Company has been operating for several years, and on December 31, 2017, presented the following balance sheet. The net income for 2017 was $25,000. Assume that total assets are the same in 2016 and 2017. Instructions Compute each of the follow

> The following are three independent situations. 1. Hairston Stamp Company records stamp service revenue and provides for the cost of redemptions in the year stamps are sold to licensees. Hairston’s past experience indicates that only 80% of the stamps s

> Oil Products Company purchases an oil tanker depot on January 1, 2017, at a cost of $600,000. Oil Products expects to operate the depot for 10 years, at which time it is legally required to dismantle the depot and remove the underground storage tanks. It

> Presented below are three independent situations. Answer the question at the end of each situation. 1. During 2017, Salt-n-Pepa Inc. became involved in a tax dispute with the IRS. Salt-n-Pepa’s attorneys have indicated that they believe it is probable t

> No Doubt Company includes 1 coupon in each box of soap powder that it packs, and 10 coupons are redeemable for a premium (a kitchen utensil). In 2017, No Doubt Company purchased 8,800 premiums at 80 cents each and sold 110,000 boxes of soap powder at $3.

> Early in 2017, Sheryl Crow Equipment Company sold 500 Rollomatics during 2017 at $6,000 each. During 2017, Crow spent $20,000 servicing the 2-year assurance warranties that accompany the Rollomatic. All applicable transactions are on a cash basis. Instr

> During 2013, Winston Corporation spent $170,000 in research and development costs. As a result, a new product called the New Age Piano was patented. The patent was obtained on October 1, 2013, and had a legal life of 20 years and a useful life of 10 year

> Carter Company has provided information on intangible assets as follows. A patent was purchased from Ford Company for $2,000,000 on January 1, 2016. Carter estimated the remaining useful life of the patent to be 10 years. The patent was carried in Ford’s

> On January 1, 2017, JWS Corporation issued $600,000 of 7% bonds, due in 10 years. The bonds were issued for $559,224, and pay interest each July 1 and January 1. JWS uses the effective-interest method. Prepare the company’s journal entries for a. the Ja

2.99

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