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Sample Practice Test Questions
Simplify 7a x 6b.
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 6b = (7 x 6) (a x b) = 42ab
The formula for acceleration is which of the following?
\(\vec{a} = { \vec{F} \over m }\)
Newton's second law of motion leads to the formula for acceleration which is a measure of the rate of change of velocity per unit time and, if you solve for positive acceleration, reveals how much net force is needed to overcome an object's mass. The formula for acceleration is \(\vec{a} = { \vec{F} \over m }\) or, solving for force, \(\vec{F} = m\vec{a}\).
In the metric system, what prefix represents 10-3?
milli
In the metric system, milli is the prefix for 10-3.
The radius of the axle is 3, the radius of the wheel is 4, and the blue box weighs 35 lbs. What is the effort force necessary to balance the load?
The mechanical advantage of a wheel and axle is the input radius divided by the output radius:
MA = \( \frac{r_i}{r_o} \)
In this case, the input radius (where the effort force is being applied) is 4 and the output radius (where the resistance is being applied) is 3 for a mechanical advantage of \( \frac{4}{3} \) = 1.33
MA = \( \frac{load}{effort} \) so effort = \( \frac{load}{MA} \) = \( \frac{35 lbs.}{1.33} \) = 26.32 lbs.
In electrical wiring, which of the following are proportional?
the diameter of the wire and the amount of the current
Current flow through a wire increases the temperature of the wire. If too small a wire is used, the wire will heat up causing a loss in conductivity and possibly a fire. The thicker in diameter a wire is, the more current it can carry without overheating.
Which of the following is the formula for power?
\(P = {w \over t}\)
Power is the rate at which work is performed or work per unit time: \(P = {w \over t}\) and is measured in watts (W).