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Mechanical Comprehension

What is the power output of a 9 hp engine that's 85% efficient?

4207.5 \( \frac{ft⋅lb}{s} \)

\( Efficiency = \frac{Power_{out}}{Power_{in}} \times 100 \)
Solving for power out: \( P_{o} = \frac{E \times P_{i}}{100} \)
Knowing that 1 hp = 550 \( \frac{ft⋅lb}{s} \), P_i becomes 9 hp x 550 \( \frac{ft⋅lb}{s} \) = 4950 \( \frac{ft⋅lb}{s} \)
\( P_{o} = \frac{E \times P_{i}}{100} = \frac{85 \times 4950 \frac{ft⋅lb}{s}}{100} \) \( = \frac{420750 \frac{ft⋅lb}{s}}{100} \) = 4207.5 \( \frac{ft⋅lb}{s} \)

Arithmetic Reasoning

\({b + c \over a} = {b \over a} + {c \over a}\) defines which of the following?

distributive property for division

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

Electronics Information

This circuit diagram represents a(n):

series circuit

A series circuit has only one path for current to flow. In a series circuit, current (I) is the same throughout the circuit and is equal to the total voltage (V) applied to the circuit divided by the total resistance (R) of the loads in the circuit. The sum of the voltage drops across each resistor in the circuit will equal the total voltage applied to the circuit.

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

What function does a two-stroke cycle engine perform on the second stroke?

combustion and exhaust

The two strokes of a two-stroke cycle engine are fuel intake and compression then combustion and exhaust.

General Science

In which type of compound does one atom borrow an electron from another atom?

ionic

A compound is a substance containing two or more different chemical elements bound together by a chemical bond. In covalent compounds, electrons are shared between atoms. In ionic compounds, one atom borrows an electron from another atom resulting in two ions (electrically charged atoms) of opposite polarities that then become bonded electrostatically.

General Science

The respiratory and circulatory systems are similar in that they:

transport oxygen

Like the respiratory system, the circulatory system serves to transport oxygen throughout the body while removing carbon dioxide. In addition, the circulatory system transports nutrients from the digestive system.

General Science

Earth's history is divided into time periods, which of these is the longest time period?

eon

The Earth is approximately 4.6 billion years old and its history is divided into time periods based on the events that took place and the forms of life that were dominant during those periods. The largest graduation of time is the eon and each eon is subdivided into eras, eras into periods, periods into epochs, and epochs into ages.

Electronics Information

Capacitors store:

electricity

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 are often used to maintain power within a system when it is disconnected from its primary power source or to smooth out or filter voltage within a circuit.

General Science

A subatomic particle found in the nucleus of an atom. It carries a positive electric charge. This desribes which of the following?

proton

A proton is a subatomic particle found in the nucleus of an atom. It carries a positive electric charge.