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Mechanical Comprehension

On Earth, acceleration due to gravity (g) is approximately __________.

9.8 m/s²

Newton's Law of Univeral Gravitation defines the general formula for the attraction of gravity between two objects: \(\vec{F_{g}} = { Gm_{1}m_{2} \over r^2}\) . In the specific case of an object falling toward Earth, the acceleration due to gravity (g) is approximately 9.8 m/s².

Word Knowledge

Stealth most nearly means:

furtiveness

The act of moving secretly or unnoticed.

Mechanical Comprehension

A screw is most like which of the following other simple machines?

inclined plane

A screw is an inclined plane wrapped in ridges (threads) around a cylinder. The distance between these ridges defines the pitch of the screw and this distance is how far the screw advances when it is turned once. The mechanical advantage of a screw is its circumference divided by the pitch.

Math Knowledge

If a = c = 3, b = d = 8, and the blue angle = 58°, what is the area of this parallelogram?

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

a = l x w
a = a x b
a = 3 x 8
a = 24

Arithmetic Reasoning

What is (z⁵)⁴?

z²⁰

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(z⁵)⁴
z^{(5 * 4)}
z²⁰

General Science

Acceleration is the rate of change of velocity per unit of time. Which of these is the formula for acceleration?

\(\vec{a} = { \Delta \vec{v} \over t }\)

Acceleration is the rate of change of velocity per unit of time. In physics, the delta symbol (\(\Delta\)) represents change so the formula for acceleration becomes \(\vec{a} = { \Delta \vec{v} \over t }\)

Word Knowledge

Claudia's implausible excuse failed to convince her teacher.

improbable

Unbelievable.

Electronics Information

This circuit component symbol represents a(n):

transistor

The transistor is the foundation of modern electronic devices. It is made entirely from semiconductor material (making it a solid state device) and can serve many different functions in a circuit including acting as a switch, amplifier, or current regulator. A transistor works by allowing a small amount of current applied at the base to control general current flow from collector to emitter through the transistor.

Electronics Information

Which of the following is not a characteristic of direct current?

an example power source is a generator

Direct current flows in only one direction in a circuit, from the negative terminal of the voltage source to the positive. A common source of DC is a battery. In contrast to the constant one-way flow of direct current, alternating current changes direction many times each second. Electricity is delivered from power stations to customers as AC because it provides a more efficient way to transport electricity over long distances.

Mechanical Comprehension

When it comes to force, mass and acceleration have what kind of relationship?

linear

Newton's Second Law of Motion states that "The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object." This Law describes the linear relationship between mass and acceleration when it comes to force and leads to the formula F = ma or force equals mass multiplied by rate of acceleration.