Mechanical Comprehension · Practice test 2
25 questions · 19 minutes
Answer every question, then tap Check results to see your score and the method behind each answer.
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Question 1Not answered
In a gear train with two meshing gears, if the first gear rotates clockwise, the second gear will rotate
Correct answer: counterclockwise
Two meshing gears always turn in opposite directions, since their teeth push against each other on contact.
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Question 2Not answered
A wheel and axle has a wheel radius of 12 inches and an axle radius of 3 inches. What is its mechanical advantage?
Correct answer: 4
Divide the wheel radius by the axle radius: 12 / 3 = 4. A steering wheel and a screwdriver handle both work on this principle, trading a long travel at the rim for a strong turn at the centre.
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Question 3Not answered
In a pulley system, four rope sections support the movable block. What is the mechanical advantage?
Correct answer: 4
Count the rope sections actually carrying the load and that number is the mechanical advantage. With four, the load is shared four ways, so a quarter of the force lifts it, and you pull four times as much rope.
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Question 4Not answered
A force of 200 pounds presses on a piston with an area of 8 square inches. What is the pressure?
Correct answer: 25 pounds per square inch
Pressure is force divided by area, so 200 / 8 = 25 pounds per square inch. Spreading the same force over a larger piston lowers the pressure, which is the whole idea behind snowshoes as well as hydraulics.
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Question 5Not answered
Scissors are best described as a pair of which class of lever?
Correct answer: first class
Scissors act as two first-class levers joined at a shared pivot pin, which serves as the fulcrum between the handles and the blades.
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Question 6Not answered
A block and tackle has 5 rope segments holding up a 400 newton load. Ignoring friction, what effort force is needed to lift it?
Correct answer: 80 newtons
Effort equals load divided by the number of supporting strands: 400 / 5 = 80 newtons.
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Question 7Not answered
A pair of tweezers is an example of which class of lever?
Correct answer: Third class
The fulcrum is the joined end, the effort is applied by the fingers in the middle, and the load is at the tips. Third-class levers have a mechanical advantage below one, trading force for speed and precision, which is exactly what tweezers are for.
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Question 8Not answered
Using a bottle opener where the rim of the cap acts as the fulcrum is an example of which class of lever?
Correct answer: second class
The load, the bottle cap, sits between the fulcrum at the rim and the effort applied by the hand, matching a second-class lever.
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Question 9Not answered
In a hydraulic press the small piston has an area of 2 square inches and the large one 10 square inches. A force of 50 pounds on the small piston produces what force at the large one?
Correct answer: 250 pounds
Pressure is 50 / 2 = 25 pounds per square inch throughout, and acting on 10 square inches that gives 25 x 10 = 250 pounds. The large piston moves only a fifth as far, so no energy is gained.
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Question 10Not answered
A steel ship floats even though steel is denser than water because
Correct answer: its hollow shape displaces enough water to equal the ship's total weight
The ship's hollow hull displaces a large volume of water; as long as the displaced water's weight equals the ship's weight, it floats even though the steel itself sinks.
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Question 11Not answered
A wheelbarrow has its load in the middle, the wheel (fulcrum) at the front, and the handles (effort) at the back. What class of lever is it?
Correct answer: second class
In a second-class lever the load sits between the fulcrum and the effort, exactly as in a wheelbarrow.
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Question 12Not answered
Sweeping with a broom, holding the top hand still and driving with the lower hand, makes the broom a lever of which class?
Correct answer: Third class
The still top hand is the fulcrum, the lower hand in the middle supplies the effort, and the bristles at the end are the load. Effort in the middle makes it third class, giving the head plenty of speed.
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Question 13Not answered
An object placed in water will float if
Correct answer: it displaces a weight of water equal to its own
Archimedes' principle says the upward force equals the weight of fluid displaced. A steel ship floats because its shape displaces far more water than the steel itself weighs, which is why being hollow helps but does not by itself decide the matter.
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Question 14Not answered
A lever with a mechanical advantage of less than one is useful because it
Correct answer: trades force away in exchange for speed and range of movement
Third-class levers work this way: the effort exceeds the load, but the load end sweeps a long distance quickly. A fishing rod, a broom, and the human forearm all trade force for reach and speed.
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Question 15Not answered
Compared with a short ramp reaching the same height, a longer ramp requires
Correct answer: less force applied over a greater distance
Stretching the ramp for the same rise makes the slope gentler, raising the mechanical advantage. The total work stays the same, which is why the saving in force is paid for in distance.
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Question 16Not answered
At the bolt, a 1.5 foot wrench receives 40 pounds of applied force at its far end. What torque does this generate?
Correct answer: 60 pound-feet
Torque equals force times the length of the moment arm: 40 x 1.5 = 60 pound-feet.
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Question 17Not answered
A four-legged table has one leg slightly shorter than the others. What is the most likely structural effect?
Correct answer: the load is distributed unevenly, overloading the other three legs
A short leg often loses contact or bears little load, shifting more of the weight onto the remaining three legs and reducing stability.
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Question 18Not answered
What is the momentum of a 4 kilogram object moving at 5 metres per second?
Correct answer: 20 kilogram-metres per second
Momentum is mass times velocity, so 4 x 5 = 20. It is why a slow heavy vehicle can be as hard to stop as a fast light one.
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Question 19Not answered
A 2 kilogram ball moving at 6 metres per second has how much momentum?
Correct answer: 12 kilogram-metres per second
Momentum equals mass times velocity: 2 x 6 = 12 kilogram-metres per second.
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Question 20Not answered
A 40-tooth gear meshes with a 10-tooth gear. For each full turn of the large gear, the small one turns
Correct answer: 4 times
Forty teeth pass the mesh in one turn of the large gear, and the small gear consumes ten teeth per turn, so it makes four. The small gear spins faster but with correspondingly less torque.
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Question 21Not answered
Triangles are used throughout trusses and bracing because a triangle
Correct answer: cannot change shape unless a side changes length
Fix three lengths and the shape is locked, so the joints cannot rack. A rectangle of the same members folds into a parallelogram under side load, which is exactly why a diagonal brace is added to make triangles of it.
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Question 22Not answered
According to Pascal's principle, pressure applied to an enclosed fluid is
Correct answer: transmitted equally in all directions throughout the fluid
Pascal's principle states that pressure applied anywhere to a confined fluid is transmitted undiminished throughout the fluid in every direction.
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Question 23Not answered
If a vehicle's speed doubles, its kinetic energy becomes
Correct answer: four times as great
Kinetic energy rises with the square of speed, so doubling speed quadruples it. That is why stopping distances grow so sharply with speed: the brakes must absorb four times the energy.
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Question 24Not answered
A mover applies 500 newtons to a piano but the piano does not move at all. How much work is done on the piano?
Correct answer: 0 joules
Work requires movement in the direction of the force; since the piano's displacement is zero, no work is done no matter how hard it is pushed.
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Question 25Not answered
A motor does 1500 joules of work in 5 seconds. What is its power output?
Correct answer: 300 watts
Power equals work divided by time: 1500 / 5 = 300 watts.
Your result
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