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General Science

During digestion, after proteins are broken down where does the undigested food go next?

small intestine

Food is mixed with gastric acid and pepsin in the stomach to help break down protein.

Mechanical Comprehension

Specific gravity is a comparison of the density of an object with the density of:

water

Specific gravity is the ratio of the density of equal volumes of a substance and water and is measured by a hyrdometer.

Automotive Information

Control arms connect a vehicle's suspension to the frame. The connection to the wheels is through:

ball joints

Control arms (upper and lower) connect a vehicle's suspension to the frame. The connection to the wheels is through ball joints which allow the control arms to turn and move up and down simultaneously. The frame connection uses bushings.

General Science

Which of the following is not a method of heat transfer?

reflection

Heat is always transferred from warmer to cooler environments through conduction, convection, or radiation.

Math Knowledge

This diagram represents two parallel lines with a transversal. If y° = 140, what is the value of x°?

140

For parallel lines with a transversal, the following relationships apply:

angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with y° = 140, the value of x° is 140.

Math Knowledge

The dimensions of this cylinder are height (h) = 5 and radius (r) = 4. What is the surface area?

72π

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(4²) + 2π(4 x 5)
sa = 2π(16) + 2π(20)
sa = (2 x 16)π + (2 x 20)π
sa = 32π + 40π
sa = 72π

Mechanical Comprehension

If 15 lbs. of force is applied 8 ft. from the fulcrum at the blue arrow and the green box is 7 ft. from the fulcrum, how much would the green box have to weigh to balance the lever?

17.14 lbs.

To balance this lever the torques at the green box and the blue arrow 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 green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.

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

R_a = \( \frac{R_bd_b}{d_a} \) = \( \frac{15 lbs. \times 8 ft.}{7 ft.} \) = \( \frac{120 ft⋅lb}{7 ft.} \) = 17.14 lbs.

Arithmetic Reasoning

A factor is a positive __________ that divides evenly into a given number.

integer

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

General Science

The ozone layer is in which of Earth's atmospheric layers?

stratosphere

The stratosphere is just above the troposphere and is stratified in temperature with warmer layers higher and cooler layers closer to Earth. This increase in temperature is a result of absorption of the Sun's radiation by the ozone layer.

Shop Information

Which of the following types of saws would you use if you needed to cut the wood quickly and weren't concerned with leaving rough edges?

rip saw

Wood saws are categorized primarily by their teeth. Crosscut saws utilize knife-shaped teeth that cut across the grain of the wood while rip saws cut with the grain using chisel-shaped teeth that rip the wood cells apart as the cut is made. The kerf (slot) made by by a crosscut saw is much smoother than that made by a rip saw but a rip saw cuts much faster. Coping saws are a type of bow saw used to make detailed often curving cuts using replaceable blades with fine small teeth.