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Sample Practice Test Questions
This diagram represents two parallel lines with a transversal. If w° = 40, what is the value of c°?
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with w° = 40, the value of c° is 40.
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).
Which of the following is the preferred method for splicing wires?
soldering
Splicing is permanently joining two wires together. Splicing can be done with screw-on connectors or wire crimps but the preferred method for splicing is soldering. Soldering takes the most effort but results in a connection that is electrically and mechanically identical to the original wire.
The advantage of using a third-class lever is that it increases:
the speed of the load
A third-class lever is used to increase distance traveled by an object in the same direction as the force applied. The fulcrum is at one end of the lever, the object at the other, and the force is applied between them. This lever does not impart a mechanical advantage as the effort force must be greater than the load but does impart extra speed to the load. Examples of third-class levers are shovels and tweezers.
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
How many 2\(\frac{1}{2}\) gallon cans worth of fuel would you need to pour into an empty 20 gallon tank to fill it exactly halfway?
To fill a 20 gallon tank exactly halfway you'll need 10 gallons of fuel. Each fuel can holds 2\(\frac{1}{2}\) gallons so:
cans = \( \frac{10 \text{ gallons}}{2\frac{1}{2} \text{ gallons}} \) = 4
212°F is how many °C?
100
The formula to convert from F° to C° is:
\(C° = {5 \over 9} (F° - 32)\)
plugging in our values gives:
\(C° = {5 \over 9} (212 - 32)\)
\(C° = {5 \over 9} (180) = {{180 \times 5} \over 9}\)
\(C° = {900 \over 9}\)
\(C° = 100\)
A capacitor is often used for which of the following purposes?
to maintain power in a circuit when the primary power source is disconnected
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.
Solve 3c + 2c = 9c - 9x + 8 for c in terms of x.
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
3c + 2x = 9c - 9x + 8
3c = 9c - 9x + 8 - 2x
3c - 9c = -9x + 8 - 2x
-6c = -11x + 8
c = \( \frac{-11x + 8}{-6} \)
c = \( \frac{-11x}{-6} \) + \( \frac{8}{-6} \)
c = 1\(\frac{5}{6}\)x - 1\(\frac{1}{3}\)