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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} $

Word Knowledge

Rail most nearly means:

upbraid

To scold in harsh language.

Arithmetic Reasoning

Alex loaned Charlie $300 at an annual interest rate of 6%. If no payments are made, what is the interest owed on this loan at the end of the first year?

$18

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $300
i = 0.06 x $300
i = $18

Word Knowledge

Advantageous most nearly means:

favorable

Giving an advantage.

Mechanical Comprehension

The force required to initally get an object moving is __________ the force required to keep it moving.

higher than

For any given surface, the coefficient of static friction is higher than the coefficient of kinetic friction. More force is required to initally get an object moving than is required to keep it moving. Additionally, static friction only arises in response to an attempt to move an object (overcome the normal force between it and the surface).

Word Knowledge

Incisive most nearly means:

keen

Impressively direct and decisive.

General Science

Which of these is a type of Earth's crust?

oceanic

The crust is the Earth's outermost layer and is divided into oceanic and continental types. Oceanic crust is 3 miles (5 km) to 6 miles (10 km) thick and is composed primarily of denser rock. Continental crust is 20 to 30 miles (30 to 50 km) thick and composed primarily of less dense rock. The crust makes up approximately one percent of the Earth's total volume.

Word Knowledge

Heidi's grandfather was gruff, barking stern orders and hardly smiling.

surly

Rough or stern in manner or speech.

Mechanical Comprehension

What is the first step to solving a problem where multiple forces are acting on an object?

calculate the net force

In mechanics, multiple forces are often acting on a particular object and, taken together, produce the net force acting on that object. Like force, net force is a vector quantity in that it has magnitude and direction.

Word Knowledge

Colossal most nearly means:

gigantic

Immense, enormous.