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Mechanical Comprehension

If this lever is in equilibrium with an effort force of 10.0 ft. lb. at the blue arrow and a resistance force of 3 ft. lb. at the green box, what is its mechanical advantage?

0.3

Mechanical advantage (MA) is the ratio by which effort force relates to resistance force. If both forces are known, calculating MA is simply a matter of dividing resistance force by effort force:

MA = \( \frac{F_r}{F_e} \) = \( \frac{3 ft.}{10.0 ft.} \) = 0.3

In this case, the mechanical advantage is less than one meaning that each unit of effort force results in just 0.3 units of resistance force. However, a third class lever like this isn't designed to multiply force like a first class lever. A third class lever is designed to multiply distance and speed at the resistance by sacrificing force at the resistance. Different lever styles have different purposes and multiply forces in different ways.

Math Knowledge

If angle a = 68° and angle b = 39° what is the length of angle c?

73°

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 68° - 39° = 73°

General Science

In the heart, blood flows from the __________ ventricle to the lungs then back to the heart via the __________ atrium.

right, left

The two largest veins in the body, the venae cavae, pass blood to the right ventricle which pumps the blood to the lungs through the pulmonary artery. Blood picks up oxygen in the lungs and returns it to the left atrium via the pulmonary vein.

Word Knowledge

Exalt most nearly means:

glorify

To elevate by praise.

General Science

What part of the nervous system is responsible for controlling involuntary actions like breathing, swallowing, and heartbeat?

medulla

Part of the brainstem, the medulla is the connection between the brain and the spinal cord. It controls involuntary actions like breathing, swallowing, and heartbeat.

General Science

Which of the following is the primary difference between a comet and an asteroid?

comets have an atmosphere

A comet is a loose collection of ice, dust, and small rocky particles that, in contrast to an asteroid, has an extended atmosphere surrounding the center. When passing close to the Sun, this atmosphere warms and begins to release gases forming a visible coma or tail.

General Science

Velocity and displacement are fully described by both a magnitude and a direction. Velocity and displacement are which of the following?

vector quantities

Velocity and displacement are vector quantities which means each is fully described by both a magnitude and a direction. In contrast, scalar quantities are quantities that are fully described by a magnitude only. A variable indicating a vector quantity will often be shown with an arrow symbol: \(\vec{v}\)

General Science

The four planets closest to the Sun are called terrestrial. What does terrestrial mean?

the planets are Earth-like

The four planets closest to the Sun (Mercury, Venus, Earth, and Mars) are called terrestrial (Earth-like) planets because, like the Earth, they're solid with inner metal cores covered by rocky surfaces.

Word Knowledge

Paula negated Tiffany's argument by proving that her main premise was false.

neutralize

To make invalid.

Electronics Information

Which of the following statements about electrical resistance is true?

the more resistive the conductor is the slower electron flow will be

Resistance is opposition to the flow of current. As resistance increases, current decreases as resistance and current are inversely proportional.