Just an instant before reaching the very bottom of a semicircular section of a roller coaster ride, the automatic emergency brake inadvertently goes on. Assume the car has a total mass of 750 kg, the radius of that section of the track is 55.0 m, and the car entered the bottom after descending vertically (from rest) 25.0 m on a frictionless straight incline. If the braking force is a steady 1700 N, determine (a) the car's centripetal acceleration (including direction), (b) the normal force of the track on the car, (c) the tangential acceleration of the car (including direction), and (d) the total acceleration of the car.

The following exercises describe apportionment problems for situations besides the House of Representatives. Do the following: a. Find the apportionment by Hamilton's method. b. Find the apportionment by Jefferson's method. c. Find the apportionment by Webster's method. d. Find the apportionment by the Hill-Huntington method. e. Compare the results of the various methods. A city plans to purchase 16 new emergency vehicles. They are to be apportioned among 485 members of the police department, 213 members of the fire department, and 306 members of the paramedic squad.

While playing on her swing set, 10-year-old Yasmin falls and breaks her right leg. At the emergency room, the physician tells Yasmin's parents that the proximal end of the tibia, where the epiphysis meets the diaphysis, is fractured. The fracture is properly set and eventually heals. During a routine physical when she is 18 , Yasmin learns that her right leg is $2 cm$ shorter than her left, probably because of her accident. What might account for this difference?

An emergency cell phone charger requires you to turn a small crank in order to create the energy needed to recharge the phone’s battery. If you turn the crank 120 times per minute, the total number r of revolutions that you turn the crank is given by r = 120t where t is the time (in minutes) spent turning the crank. a. Graph the function and identify its domain and range. b. Identify the domain and range if you stop turning the crank after 4 minutes. Explain how this affects the appearance of the graph.

The probability that a call to an emergency help line is answered in less than 15 seconds is 0.85. Assume that all calls are independent. (a) What is the probability that exactly 7 of 10 calls are answered within 15 seconds? (b) What is the probability that at least 16 of 20 calls are answered in less than 15 seconds? (c) For 50 calls, what is the mean number of calls that are answered in less than 15 seconds? (d) Repeat parts (a)–(c) using the normal approximation.

B.L., 17, had a compression fracture at the C5-C6 after jumping into a river from a bridge and slamming into a submerged rock. Fortunately, she was saved by a companion who had first-aid expertise and worked to limit any collateral damage. B.L. was unable to move her limbs, feel touch, or have reflexes in her limbs when she arrived at the emergency room. Describe the causes and ways in which B.L.'s ability to breathe may be hampered at any time.

J.R. is a $28$-year-old man who was doing home repairs. He fell from the top of a $6$-foot stepladder, striking his head on a large rock. He experienced a momentary loss of consciousness. By the time his neighbor got to him, he was conscious but bleeding profusely from a laceration over the right temporal area. The neighbor drove him to the emergency department of your hospital. As the nurse, you immediately apply a cervical collar, lay him on a stretcher, and take J.R. to a treatment room.

Differentiate between a primary and secondary head injury.

While playing on her swing set, 10-year-old Rebecca falls and breaks her right leg. At the emergency room, the doctor tells her parents that the proximal end of the tibia where the epiphysis meets the diaphysis is fractured. The fracture is properly set and eventually heals. During a routine physical when she is 18, Rebecca learns that her right leg is 2.54 cm (1 in.) shorter than her left. What might account for this difference?

The flywheel of an old steam engine is a solid homogeneous metal disk of mass $M=120 \mathrm{~kg}$ and radius $R=80.0 \mathrm{~cm}$. The engine rotates the wheel at 500 . rpm. In an emergency, to bring the engine to a stop, the flywheel is disengaged from the engine and a brake pad is applied at the edge to provide a radially inward force $F=100$. N. If the coefficient of kinetic friction between the pad and the flywheel is $\mu_{\mathrm{k}}=0.200$, how many revolutions does the flywheel make before coming to rest? How long does it take for the flywheel to come to rest? Calculate the work done by the torque during this time.

Ambulance response time. Geographical Analysis (Jan. 2010) presented a study of emergency medical service (EMS) ability to meet the demand for an ambulance. In one example, the researchers presented the following scenario. An ambulance station has one vehicle and two demand locations, $\mathrm{A}$ and $\mathrm{B}$. The probability that the ambulance can travel to a location in under 8 minutes is $.58$ for location $\mathrm{A}$ and $.42$ for location $\mathrm{B}$. The probability that the ambulance is busy at any point in time is $.3$. Find the probability that EMS can meet the demand for an ambulance at location B.

Large stadiums rely on backup generators to provide electricity in the event of a power failure. Assume that emergency backup generators fail 22% of the times when they are needed (based on data from Arshad Mansoor, senior vice president with the Electric Power Research Institute). A stadium has three backup generators so that power is available if at least one of them works in a power failure. Find the probability of having at least one of the backup generators working given that a power failure has occurred. Does the result appear to be adequate for the stadium's needs?

O A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its pach. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration? Hurrying to an emergency, a nurse gives a sharp push to the closed door. The door swings open against the pneumatic device, slowing down and then reversing its motion. At the moment the door is open the widest, (c) does the doorknob have a centripetal acceleration? (d) Does it have a tangential acceleration?

In each of the following sentences, circle any letter that should be capitalized and draw a slash (\/) through any letter that should be lowercase. **Example 1**. $\text{\textcircled}{\text{{d}}}$id you ask $\text{\textcircled}{\text{{d}}}$r. fishbein or her ${\sout{\text{D}}}$ental ${\sout{\text{A}}}$ssistant about your toothache during your appointment last $\text{\textcircled}{\text{{f}}}$riday? “In case of an Emergency,” the notice read, “Please call $911$ to reach ems or the police.”

Evaluate the expression to complete the table. "

$$\begin{matrix} & \text{Mammals with the Longest Tails}\\ \text{Mammal} & \text{Expression} & \text{Tail Length}\\ \text{African elephant} & \mathrm{6 \times ( 72 \div 8 ) - 3} & \text{\_\_\_\_\_}\\ \end{matrix}$$

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