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Automotive Information

Which of the following is a common firing order for four-cylinder engines?

1-3-4-2

The stroke cycle of an engine is governed by the crankshaft which serves to regulate the firing order of the cylinders. All cylinders are not on the same stroke at the same time and correct firing order is important to balance engine operation and minimize vibrations. A common firing order for four-cylinder engines is 1-3-4-2 which indicates that cylinders 1 and 3 fire (power stroke)together and cylinders 4 and 2 fire together.

Mechanical Comprehension

For any given surface, the coefficient of static friction is ___________ the coefficient of kinetic friction.

higher than

For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).

Math Knowledge

Find the value of c:
5c + z = -1
-2c - 3z = -3

-\(\frac{6}{13}\)

You need to find the value of c so solve the first equation in terms of z:

5c + z = -1
z = -1 - 5c

then substitute the result (-1 - 5c) into the second equation:

-2c - 3(-1 - 5c) = -3
-2c + (-3 x -1) + (-3 x -5c) = -3
-2c + 3 + 15c = -3
-2c + 15c = -3 - 3
13c = -6
c = \( \frac{-6}{13} \)
c = -\(\frac{6}{13}\)

General Science

When compared to eukaryotic cells, prokaryotic cells are:

less complex

Cells are classified into one of two groups based on whether or not they have a nucleus. Eukaryotic cells have a nucleus, prokaryotic cells do not have a nucleus and therefore have a less complex structure than eukaryotic cells.

General Science

The crust and lithosphere of the Earth is made up of which of the following?

plates

The crust and the rigid lithosphere (upper mantle) is made up approximately thirty separate plates. These plates more very slowly on the slightly more liquid mantle (asthenosphere) beneath them. This movement has resulted in continental drift which is the gradual movement of land masses across Earth's surface. Continental drift is a very slow process, occurring over hundreds of millions of years.

Electronics Information

The diameter of a number 12 wire is __________ the diameter of a number 6 wire?

less than

The larger the number the smaller the diameter of the wire. So, the diameter of a number 12 wire is less than the diameter of a number 6 wire.

Arithmetic Reasoning

What is \( \frac{28\sqrt{35}}{4\sqrt{5}} \)?

7 \( \sqrt{7} \)

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{28\sqrt{35}}{4\sqrt{5}} \)
\( \frac{28}{4} \) \( \sqrt{\frac{35}{5}} \)
7 \( \sqrt{7} \)

Word Knowledge

Exalt most nearly means:

glorify

To elevate by praise.

Mechanical Comprehension

The standard unit of energy is the:

Joule

The Joule (J) is the standard unit of energy and has the unit \({kg \times m^2} \over s^2\).

Mechanical Comprehension

If a 25 lbs. weight is placed 3 ft. from the fulcrum at the blue arrow and the green box is 6 ft. from the fulcrum, how much would the green box have to weigh to balance the lever?

12.5 lbs.

To balance this lever the torques on each side of the fulcrum must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:

R_ad_a = R_bd_b

where a represents the left side of the fulcrum and b the right, R is resistance (weight) and d is the distance from the fulcrum.

Solving for R_a, our missing value, and plugging in our variables yields:

R_a = \( \frac{R_bd_b}{d_a} \) = \( \frac{25 lbs. \times 3 ft.}{6 ft.} \) = \( \frac{75 ft⋅lb}{6 ft.} \) = 12.5 lbs.