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General Science

The angle of reflection is equal to which the following?

angle of incidence

The law of reflection specifies how waves, including light waves, bounce off of surfaces. Specifically, the angle of incidence of the approaching wave is equal to the angle of reflection of the reflected wave as measured from a line perpendicular (90°) to the surface.

Math Knowledge

If a = c = 4, b = d = 3, what is the area of this rectangle?

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 4 x 3
a = 12

Arithmetic Reasoning

Which of the following statements about exponents is false?

b¹ = 1

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

Arithmetic Reasoning

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 50% off." If Damon buys two shirts, each with a regular price of $39, how much will he pay for both shirts?

$58.50

By buying two shirts, Damon will save $39 x $ \frac{50}{100} $ = $ \frac{$39 x 50}{100} $ = $ \frac{$1950}{100} $ = $19.50 on the second shirt.

So, his total cost will be
$39.00 + ($39.00 - $19.50)
$39.00 + $19.50
$58.50

Electronics Information

You would measure the amount of resistance at a certain point in a circuit with a(n):

ohmmeter

Resistance is opposition to the flow of current and is measured in ohms (Ω). An ohmmeter is used to measure the amount of resistance at a certain point in a circuit.

Mechanical Comprehension

If the force applied at the blue arrow over 5 ft. moves the green box 2.5 ft., what is the mechanical advantage of this lever?

Mechanical advantage (MA) can be calculated knowing only the distance the effort (blue arrow) moves and the distance the resistance (green box) moves. The equation is:

MA = $ \frac{E_d}{R_d} $

where E_d is the effort distance and R_d is the resistance distance. For this problem, the equation becomes:

MA = $ \frac{5 ft.}{2.5 ft.} $ = 2

You might be wondering how having an effort distance of 2 times the resistance distance is an advantage. Remember the principle of moments. For a lever in equilibrium the effort torque equals the resistance torque. Because torque is force x distance, if the effort distance is 2 times the resistance distance, the effort force must be $ \frac{1}{2} $ the resistance force. You're trading moving 2 times the distance for only having to use $ \frac{1}{2} $ the force.

Electronics Information

Which of the following is not true about a line drop?

it is addressed by raising current and lowering voltage across the ransmission line

Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances. A line drop is a decrease in voltage between two points on an electrical transmission line due to resistance in the line. A lower current and higher voltage across the line will help compensate for the line drop.

General Science

Which of the following describes the Earth's outer core?

liquid

The Earth's core is divided into the liquid outer core (1,430 miles or 2,300 km radius) and the solid inner core (745 miles or 1,200 km radius).

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.

Mechanical Comprehension

Drag is a type of:

friction

Drag is friction that opposes movement through a fluid like liquid or air. The amount of drag depends on the shape and speed of the object with slower objects experiencing less drag than faster objects and more aerodynamic objects experiencing less drag than those with a large leading surface area.