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Mechanical Comprehension

How much work can a 1 hp engine do in 3 seconds?

1650 ft⋅lb

Horsepower (hp) is a common measure of power output for complex machines. By definition, a 1 hp machine does 550 ft⋅lb of work in 1 second: 1 hp = 550 ft⋅lb/s. Substituting the variables for this problem gives us:
\( W = 1 hp \times 550 \frac{ft⋅lb}{s} \times 3s = 1650 ft⋅lb \)

Word Knowledge

The sweet cookie was a perfect foil to the sour lemon sorbet.

complement

One that enhances or underscores by contrast.

General Science

Which of the following would you find in the side view mirror of a car?

convex mirror

A concave (or converging) mirror bulges inward and focuses reflected light on the mirror's focal point where the mirror's angles of incidence converge. In contrast, a convex (or diverging) mirror bulges outward and diffuses the light waves that strike it. A common use of a concave mirror is in a reflecting telescope, a common use of a convex mirror is in the side view mirror of a car.

Word Knowledge

Pantomime most nearly means:

charade

Telling a story through gestures.

Math Knowledge

The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the volume?

9π

The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 9)
v = 9π

Automotive Information

Spark plugs receive current from the:

distributor

Spark plugs receive current from the distributor and use it to spark combustion in the combustion chamber of a cylinder.

Electronics Information

Capacitors connected in series produce __________ capacitance compared to capacitors connected in parallel.

less

Capacitors store electricity and are used in circuits as temporary batteries. Capacitors are charged by DC current (AC current passes through a capacitor) and that stored charge can later be dissipated into the circuit as needed. Capacitors connected in series produce less capacitance than capacitors connected in parallel.

Math Knowledge

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

h x l x w

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

General Science

The Earth's rocks fall into three categories based on how they're formed. Which of the following is formed from the hardening of molten rock?

igneous

The Earth's rocks fall into three categories based on how they're formed. Igneous rock (granite, basalt, obsidian) is formed from the hardening of molten rock (lava), sedimentary rock (shale, sandstone, coal) is formed by the gradual despositing and cementing of rock and other debris, and metamorphic rock (marble, slate, quartzite) which is formed when existing rock is altered though pressure, temperature, or chemical processes.

General Science

Which of the following would be used in eye glasses to correct farsightedness?

convex lens

Unlike curved mirrors that operate on the principle of reflection, lenses utilize refraction. A convex lens is thicker in the middle than on the edges and converges light while a concave lens is thicker on the edges than in the middle and diffuses light. A common use for curved lenses is in eye glasses where a convex lens is used to correct farsightedness and a concave lens is used to correct nearsightedness.