Packages for transporting delicate items (a laptop or glass) are designed to “absorb” some of the energy of the impact in order to protect their contents. These energy absorbers can get pretty complicated (the mechanics of Styrofoam peanuts is not easy), but we can begin to understand how they work by modeling them as a linear elastic spring of constant k that is placed between the contents (an expensive vase) of mass m and the package P. Assume that the vase weighs 6 lb and that the box is dropped from a height of 5 ft. Treat the vase as a particle, and neglect all forces except for gravity and the spring force. Determine the maximum displacement of the vase relative to the box and the maximum force on the vase due to the spring if k = 264 lb/ft.

Apply the vertical-line test to the graphs of $x^2 y=4 x-y$ and $y^2=4 x^2$

When curare blocks the action of acetylcholine it

a. prevents muscle activation, causing paralysis.

b. stimulates muscle activity, causing convulsions.

c. retards cell growth, causing paralysis.

d. causes neurotransmitters to both inhibit and exciting activity.

Draw complete orbital diagrams for (a) $\mathrm{Mg}$ and (b) $\mathrm{Ti}$.

Correct the sentences with errors in subject-verb agreement.

Isn't Special Olympics events held only every four years?

The following data were taken from the financial statements of Hunter Inc. for December 31, 2014 and 2013:

$$\begin{array}{lrr} & \text { Dec. 31, 2014 } & \text { Dec. 31, 2013 } \\ \hline \text { Accounts payable } & \$ 924,000 & \$ 800,000 \\ \text { Current maturities of serial bonds payable } & 200,000 & 200,000 \\ \text { Serial bonds payable, } 10 \% \text {, issued 2009, due 2019 } & 1,000,000 & 1,200,000 \\ \text { Common stock, \$10 par value } & 250,000 & 250,000 \\ \text { Paid-in capital in excess of par } & 1,250,000 & 1,250,000 \\ \text { Retained earnings } & 860,000 & 500,000 \end{array}$$

The income before income tax was $480,000 and$420,000 for the years 2014 and 2013, respectively. c. What conclusions can be drawn from these data as to the company’s ability to meet its currently maturing debts?

The displacement y of a mass attached to a spring is modeled by y(t) = 3.1 sin 2t, where t is the time in seconds. What is the displacement at this time?

Staub, Conly, and Winfield were employees of the Prime Time Restaurant. They were aware that the owner never checked the totals on the sales checks against the cash in the register. Therefore, it would be very easy to steal from the cash register. However, they did not steal. When asked why, they gave the following reasons. Staub said he did not take the money because he was afraid of being caught. Conly said she did not take the money because she felt obligated to obey the law. Winfield said he did not take the money because of his religious beliefs. To which person do you best relate? Why?

Draw the shear and moment diagrams for the simply supported beam.

Premo Pens, Inc., is in the process of developing a new pen to replace its existing top-of-the-line Executive Model. Market research has identified the critical features the pen must have, and it is estimated that customers would be willing to pay $\$ 30$ for a pen with these features. Premo's production manager estimates that with existing equipment it will cost $\$ 26$ to produce the proposed model. The current Executive Model sells for $\$ 24$ and has a total production cost of $\$ 20$. A competitor sells a pen similar to the proposed model, but without Premo's patented easy retract feature, for $\$ 28$. It is estimated to cost the competitor $\$ 25$ to produce. If Premo seeks to earn a 20 percent return on sales on the new model, which of the following represents the target cost for the new pen?

a. $\$ 26.00$.

b. $\$ 22.40$.

c. $\$ 24.00$.

d. $\$ 19.80$.

For the following sentence, underline the correct form of the verb in parentheses. Then, underline the subject of the sentence twice.

That group of insects (is, are) a special class.

For the following exercises, state the domain and the vertical asymptote of the function. $f(x)=\log (3 x+1)$

Look again at you photo and your answers from part A. Imagine you are going to attend the special event in the photo. How do you get ready? How do you feel before, during, and after the special event? Complete the sentence below in Spanish using your chapter vocabulary.

Antes de salir, yo__________.

A conducting sliding bar oscillates over two parallel conducting rails in a sinusoidally varying magnetic field $\text{B} = \text{a}_{\text{z}}4 \cos \omega\text{t}$ (mT), as shown in Fig.7-13. The position of the sliding bar is given by $\text{x}=0.35\left(1 - \cos \omega\text{t}\right)$ (m), and the rails are terminated in a resistance R = 0.2 ($\Omega$). Find i.