A 50.0-kg grindstone is a solid disk 0.520 m in diameter. You press an ax down on the rim with a normal force of 160 N. The coefficient of kinetic friction between the blade and the stone is 0.60, and there is a constant friction torque of $6.50 \mathrm { N } \cdot \mathrm { m }$ between the axle of the stone and its bearings. How much time does it take the grindstone to come from 120 rev/min to rest if it is acted on by the axle friction alone?

Exprese en una sola fiase lo que comentan estos amigos.

EJEMPLO: El chico reparó en la señorita. Esto le molestó a ella.  El chico reparó en la señorita, lo cual le molestó a ella.

Mi papá limpió el sótano de la casa. Esto dio gusto a mi mamá.

In the following sentence, selected coordinating conjunction has been underlined. Choose a or b for the sentence given below.

When coordinating conjunctions connect independent clauses (groups of words that could stand alone as sentences), the conjunctions are preceded by commas. The two independent clauses form a compound sentence.

Compound Sentence: We hope to increase sales in the South, but we need additional sales personnel.

Use a comma only if the sentence is compound. When the words preceding or following the coordinating conjunction do not form an independent clause, no comma is used.

Simple Sentence: The bank will include the check with your monthly statement or will send the check to you immediately.

a. No punctuation needed

b. Insert a comma before the underlined conjunction

Our executive vice president will make the presentation in New York $\underline{\text{or}}$ he will unveil the plan in London.

Después de leer las dos frases, combínelas en una sola, usando cuandoquiera, dondequiera, quien{es)quiera, cual(es}quiera o por ... que.

EJEMPLO: No sé quién lo hará. Todo el mundo puede hacerlo bien. Quienquiera que lo baga, lo haré bien.

No sé a qué hora ellos vendrán. Los esperamos de codos modos.

En parejas, háganse preguntas sobre lo que harían ustedes y su familia en cuanto a las siguientes actividades.

modelo:

• viajar: en tren o en avión

• ¿Viajarías tú en tren o en avión? -Yo viajaría en avión.

levar: mucho equipaje o una sola maleta

In the following sentence, selected coordinating conjunction has been underlined. Choose a or b for the sentence given below.

When coordinating conjunctions connect independent clauses (groups of words that could stand alone as sentences), the conjunctions are preceded by commas. The two independent clauses form a compound sentence.

Compound Sentence: We hope to increase sales in the South, but we need additional sales personnel.

Use a comma only if the sentence is compound. When the words preceding or following the coordinating conjunction do not form an independent clause, no comma is used.

Simple Sentence: The bank will include the check with your monthly statement or will send the check to you immediately.

a. No punctuation needed

b. Insert a comma before the underlined conjunction

This is an orientation session designed for all new employees $\underline{\text{but}}$ topics of interest for all employees will also be discussed.

What method is considered the least preferred when controlling hazards and should not be relied upon alone to protect against hazards?

You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is turning at 90.0 rpm, and you press a steel axe against it with a radial force of 20.0 N. (a) Assuming the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of the grindstone. (b) How many turns will the stone make before coming to rest?

Use an identity to write each expression as a trigonometric function of $\theta$ alone.

Consider the function defined by $f(x)=-2 \sin ^{-1} x$.

Give the domain and range.

Revise the following sentences to begin with the part of speech in parentheses, or invert the subject and verb if so indicated.

The narrator, wiser, went on alone riding his own horse. (participle)

Exprese en una sola fiase lo que comentan estos amigos.

EJEMPLO: El chico reparó en la señorita. Esto le molestó a ella.  El chico reparó en la señorita, lo cual le molestó a ella.

Mi hermanito perdió diez dólares. Mi mamá se esperaba esto.

In the following sentence, selected coordinating conjunction has been underlined. Choose a or b for the sentence given below.

When coordinating conjunctions connect independent clauses (groups of words that could stand alone as sentences), the conjunctions are preceded by commas. The two independent clauses form a compound sentence.

Compound Sentence: We hope to increase sales in the South, but we need additional sales personnel.

Use a comma only if the sentence is compound. When the words preceding or following the coordinating conjunction do not form an independent clause, no comma is used.

Simple Sentence: The bank will include the check with your monthly statement or will send the check to you immediately.

a. No punctuation needed

b. Insert a comma before the underlined conjunction

I have studied the plan you are developing $\underline{\text{and}}$ feel that it has real merit.

Part or all of each of the following sentences is underlined; beneath each sentence are five ways of phrasing the underlined portion. Choice A will always be the same as the original wording; B-E are different options. If you consider the original sentence to be the most effective sentence, select choice $A$; otherwise, select one of the other choices.

Miss Emily, like Old Lady Wyatt, lived alone, so when she died two younger cousins buried them.

A. when she died two younger cousins buried them

B. when she died their young cousins buried her

C. when Emily died two younger cousins buried them

D. when it died two younger cousins buried of them

E. when she died two younger cousins buried her

Assume the bucket in earlier example is leaking. It starts with 5 liters of water (5 kg) and leaks at a constant rate. It finishes draining just as it reaches the top. How much work was spent lifting the water alone? (Hint: Do not include the rope and bucket, and find the proportion of water left at elevation $x \mathrm{~m}$.)