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Sample Practice Test Questions
A shovel is an example of which class of lever?
third
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.
Minerals, vitamins, and fiber are:
micronutrients
Minterals, vitamins, and fiber are micronutrients while proteins, carbohydrates, and fats are macronutrients.
You need to loosen a bolt in a hard to reach location. Which of the following wrenches would best suit this task?
box-end
Wrenches are used to provide grip and mechanical advantage by applying torque to turn objects (or to keep them from turning). The longer the wrench, the more torque that can be applied. Wrench ends are available in two primary types, open-end and box-end. A box-end wrench encloses the bolt head and is useful when more torque is needed or to maintain contact in difficult to reach locations. An open-end wrench is designed for speedily loosening easier to reach fasteners. Wrenches that feature one open and one box end are called combination wrenches and adjustable wrenches feature an open end with an adjustable width.
Depending on where you apply effort and resistance, the wheel and axle can multiply:
force or speed
If you apply the resistance to the axle and the effort to the wheel, the wheel and axle will multiply force and if you apply the resistance to the wheel and the effort to the axle, it will multiply speed.
The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 59% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?
59% of the water consumption is industrial use and 32% is personal use so (59% - 32%) = 27% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes \( \frac{27}{100} \) x 50,000 gallons = 13,500 gallons.
In the pancreas, lipase converts fat to:
glycerol and fatty acids
The acids produced by the pancreas contain several enzymes that aid in digestion. Lipase converts fat to glycerol and fatty acids. Pancreatic amylase breaks down complex carbohydrates into simple sugars. Trypsin converts polypeptides (the building blocks of protein) into amino acids.
Solve for b:
-6b + 9 = -7 + 7b
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
-6b + 9 = -7 + 7b
-6b = -7 + 7b - 9
-6b - 7b = -7 - 9
-13b = -16
b = \( \frac{-16}{-13} \)
b = 1\(\frac{3}{13}\)
If the green box weighs 30 lbs. and is 8 ft. from the fulcrum, how much force would need to be applied at the blue arrow to balance the lever if the arrow's distance from the fulcrum is 9 ft.?
To balance this lever the torques at the green box and the blue arrow must be equal. Torque is weight x distance from the fulcrum so the equation for equilibrium is:
Rada = Rbdb
where a represents the green box and b the blue arrow, R is resistance (weight/force) and d is the distance from the fulcrum.Solving for Rb, our missing value, and plugging in our variables yields:
Rb = \( \frac{R_ad_a}{d_b} \) = \( \frac{30 lbs. \times 8 ft.}{9 ft.} \) = \( \frac{240 ft⋅lb}{9 ft.} \) = 26.67 lbs.