Why is it tiring to push hard against a solid wall even though you are doing no work?

A lawn sprinkler with three identical arms is used to water a garden by rotating in a horizontal plane by the impulse caused by water flow. Water enters the sprinkler along the axis of rotation at a rate of $45 \mathrm{~L} / \mathrm{s}$ and leaves the $1.5$-$\mathrm{cm}$-diameter nozzles in the tangential direction. The bearing applies a retarding torque of $T_0=40 \mathrm{~N} \cdot \mathrm{m}$ due to friction at the anticipated operating speeds. For a normal distance of $40 \mathrm{~cm}$ between the axis of rotation and the center of the nozzles, find the angular velocity of the sprinkler shaft.

A panel containing three on-off switches in a row is to be set. Construct a tree diagram to list all possible panel settings under the previous restriction.

A baseball player extends his arm straight upward to catch a $0.145-\mathrm{kg}$ batted baseball moving horizontally at $42.5 \mathrm{~m} / \mathrm{s}$. It's $63.5 \mathrm{~cm}$ from the player's shoulder joint to the point where the ball strikes his hand, and his arm remains stiff while it rotates about the shoulder joint during the catch. The player's hand recoils horizontally a distance of $5.00 \mathrm{~cm}$ while he stops the ball with constant acceleration. What torque does the player's arm exert on the ball?

What are the number of protons, neutrons, and electrons in the isotope $^{81}_{35}\mathrm{Br}$ ?

Replace the underlined words with the correct vocabulary term from the Study Guide.

A $\underline{\text{ map legend}}$ shows the ratio between distances on a map.

A map of Illinois is scaled so that 2 inches represents 15 miles. How far apart are Chicago and Rockford if they are 12 inches apart on the map?

On a map, the distance between two towns is 3.2 inches. If the map uses the scale 2.5 in : 40 mi, what is the actual distance between the towns?

S.P. is a 68 -year-old retired painter who is experiencing right leg calf pain. The pain began approximately 2 years ago but has become significantly worse in the past 4 months. The pain is precipitated by exercise and is relieved with rest. Two years ago, S.P. could walk 2 city blocks before having to stop because of leg pain. Today, he can barely walk across the yard. S.P. has smoked 2 to 3 packs of cigarettes per day (PPD) for the past 45 years. He has a history of coronary artery disease (CAD), hypertension (HTN), peripheral artery disease (PAD), and osteoarthritis. Surgical history includes quadruple coronary artery bypass graft 3 years ago. He has had no further symptoms of cardiopulmonary disease since that time, even though he has not been compliant with the exercise regimen his cardiologist prescribed, continues to eat anything he wants, and continues to smoke 2 to 3 PPD. Other surgical history includes open reduction and internal fixation of a right femoral fracture 20 years ago.

S.P. is in the clinic today for a routine semiannual follow-up appointment with his primary care provider. As you take his vital signs, he tells you that in addition to the calf pain, he is experiencing right hip pain that gets worse with exercise, the pain does not go away promptly with rest, some days are worse than others, and his condition is not affected by a resting position.

General Assessment:

$$\begin{array}{ll}\text { Weight } & 261 \mathrm{lb}(118.4 \mathrm{~kg}) \\ \text { Height } & 5 \mathrm{ft}, 10 \mathrm{in}(178 \mathrm{~cm}) \\ \text { BP } & 163 / 91 \\ \text { Pulse } & 82 \\ \text { Respiratory rate } & 16 \\ \text { Temperature } & 98.4^{\circ} \mathrm{F}\left(36.9^{\circ} \mathrm{C}\right) \\\\\text {Laboratory Testing (Fasting): } & \\ \text { Cholesterol } & 239 \mathrm{mg} / \mathrm{dL}(6.2 \mathrm{mmol} / \mathrm{L}) \\ \text { Triglycerides } & 150 \mathrm{mg} / \mathrm{dL}(1.69 \mathrm{mmol} / \mathrm{L}) \\ \text { HDL } & 28 \mathrm{mg} / \mathrm{dL}(0.73 \mathrm{mmol} / \mathrm{L}) \\ \text { LDL } & 181 \mathrm{mg} / \mathrm{dL}(4.69 \mathrm{mmol} / \mathrm{L})\end{array}$$

Current Medications:

Ramipril (Altace) $\quad 10 \mathrm{mg}$ daily Metoprolol (Lopressor) $\quad 25 \mathrm{mg}$ twice a day Aspirin $\quad 81 \mathrm{mg}$ daily Atorvastatin (Lipitor) $\quad 20 \mathrm{mg}$ daily

S.P.'s primary care provider has seen him and wants you to schedule him for an ankle-brachial index (ABI) test to determine the presence of arterial blood flow obstruction. You confirm the time and date of the procedure and then call S.P. at home. S.P.'s ABI results showed 0.43 right (R) leg and 0.59 left (L) leg. His primary care provider discusses these results with him and decides to wait 2 months to see whether his symptoms improve with drug changes and risk factor modification before deciding about surgical intervention. S.P. receives a prescription for clopidogrel (Plavix) 75 mg daily and is told to discontinue the daily aspirin. In addition, S.P. receives a consultation for physical therapy. How will the physical therapy help?

The scale on a map is 1 cm represents 5 km. A provincial park has an area of $6 cm^ 2$ on the map. What is the actual area of the park, to the nearest square kilometre?

Determine whether $L$ is invertible from the given information. [Recall that nullity $L=\operatorname{dim}(\operatorname{ker} L)$ and $\operatorname{rank} L=\operatorname{dim}($ range $L)$.]

$$L: P_3 \rightarrow P_3, \operatorname{rank} L=4$$

On a map, $1 \frac{1}{4}$ inches represents 80 miles. Estimate the distance between two cities that are 6 inches apart on the map.

Choose the most appropriate answer for given of the following question.
Jake Phillipson, a 59-year-old male, presents with dyspnea, tachypnea, and chest pain. After an examination, Jake is diagnosed with a saddle embolus of pulmonary artery with acute cor pulmonale. How would this be coded?
a. I26.09
b. Z86.711
c. I26.92
d. I26.02

Solve.

On a map, $1\ \text{cm}$ represents $3.27\ \text{km}$. It is $24.5\ \text{cm}$ between two cities on this map. What is the actual distance between the two cities?