Bennett Mechanical Comprehension Test — Questions and Answers

Question 1: In a simple series circuit, if you add another resistor, what happens to the total resistance and the total current of the circuit?

Total resistance increases, and total current stays the same.
Total resistance decreases, and total current increases.
Total resistance increases, and total current decreases. (Correct answer)
Total resistance stays the same, and total current decreases.

Correct answer: Total resistance increases, and total current decreases.

In a series circuit, resistors are connected end-to-end, creating a single path for the current. The total resistance is the sum of all individual resistances. Therefore, adding another resistor increases the total resistance. According to Ohm's Law (V=IR), if the voltage (V) from the source remains constant and the total resistance (R) increases, the total current (I) must decrease.

Question 2: If a gear in a train is worn and skips teeth, the most likely effect is:

Faster rotation
Loss of smooth power transmission (Correct answer)
Reversed direction
Higher torque output

Correct answer: Loss of smooth power transmission

Worn or skipping teeth cause jerky, unreliable power transfer.

Question 3: The diagram shows a dam holding back a large body of water. At which point is the hydrostatic pressure against the face of the dam the greatest?

Point A (near the surface)
The pressure is uniform at all depths.
Point C (near the bottom) (Correct answer)
Point B (halfway down)

Correct answer: Point C (near the bottom)

Hydrostatic pressure increases linearly with depth. The formula for fluid pressure is P = ρgh, where ρ is the fluid density, g is the acceleration due to gravity, and h is the depth below the surface. Therefore, the pressure is lowest at the surface (Point A) and greatest at the deepest point (Point C). This is why dams are constructed to be much thicker at the base.

Question 4: Three identical gears are in a line, all meshed. If the first turns clockwise, the third turns:

Clockwise (Correct answer)
It does not move
Faster only
Counterclockwise

Correct answer: Clockwise

Direction alternates, so the first and third gears turn the same way.

Question 5: Two identical springs connected in series (end to end) will have what effective spring constant compared to one spring?

Half as stiff (Correct answer)
Twice as stiff
Four times as stiff
The same stiffness

Correct answer: Half as stiff

Springs in series share the same force, but each stretches, so total extension doubles and effective spring constant is halved.

Question 6: If a force of 30 Newtons is applied to a box, but the box does not move, what is the force of static friction?

Less than 30 Newtons.
Exactly 30 Newtons. (Correct answer)
Zero.
More than 30 Newtons.

Correct answer: Exactly 30 Newtons.

According to Newton's First Law, an object at rest stays at rest unless acted upon by a net force. Since the box is not moving, the net force on it is zero. This means the force of static friction is equal in magnitude and opposite in direction to the applied force. Therefore, the static friction is exactly 30 Newtons.

Question 7: When two identical springs are connected in parallel (side by side, sharing the same endpoints), the effective spring constant is:

Twice the single spring constant (Correct answer)
The same as a single spring
Four times the single spring constant
Half the single spring constant

Correct answer: Twice the single spring constant

Springs in parallel each share the load and deflect equally, so their spring constants add together, giving twice the stiffness.

Question 8: A 60 W light bulb operates for 2 hours. How much energy does it consume?

60 J
432,000 J (Correct answer)
7,200 J
120 J

Correct answer: 432,000 J

Energy = 60 W × (2 × 3600 s) = 60 × 7200 = 432,000 J.

Question 9: Water flows through a pipe that narrows. What happens to the water's speed in the narrow section?

It stays the same
It increases (Correct answer)
It stops
It decreases

Correct answer: It increases

The same volume forced through a smaller area must move faster.

Question 10: Three solid, sealed objects of identical size and shape are fully submerged in a tank of water. Object A is made of wood, Object B is made of aluminum, and Object C is made of lead. Which object experiences the greatest buoyant force?

They all experience the same buoyant force. (Correct answer)
Object A
Object C
Object B

Correct answer: They all experience the same buoyant force.

Archimedes' principle states that the buoyant force on a submerged object is equal to the weight of the fluid displaced by the object. Since all three objects have the identical size and shape, they displace the same volume of water. Therefore, the weight of the displaced water is the same for all three, and they each experience an identical buoyant force, regardless of their own weight or density.

Question 11: A diving board is a cantilever. The point of greatest bending stress is?

At the free tip
At the fixed support end (Correct answer)
There is no stress
At the midpoint

Correct answer: At the fixed support end

A cantilever experiences the greatest bending moment and stress at the fixed support.

Question 12: If you double the velocity of a moving object, what happens to its kinetic energy?

It doubles.
It is halved.
It does not change.
It quadruples. (Correct answer)

Correct answer: It quadruples.

The formula for kinetic energy (KE) is KE = 1/2 * mass * velocity². Because the velocity term is squared, doubling the velocity results in a fourfold increase in kinetic energy (2² = 4). For example, if the initial KE is 10 joules, doubling the velocity would make the new KE equal to 40 joules.

Question 13: A machine receives 800 J of input energy but delivers only 600 J of useful work. What is its efficiency?

85%
70%
80%
75% (Correct answer)

Correct answer: 75%

Efficiency = (useful output / input) × 100 = (600 / 800) × 100 = 75%.

Question 14: Where is the center of gravity of a uniform L-shaped flat plate?

At the exact midpoint of one arm
At the longest tip
At the inner corner
Outside the material of the L (Correct answer)

Correct answer: Outside the material of the L

For an L-shape, the center of gravity falls in the empty region between the arms, outside the material.

Question 15: A wheelbarrow is an example of which class of lever?

Fourth-Class Lever
Third-Class Lever
First-Class Lever
Second-Class Lever (Correct answer)

Correct answer: Second-Class Lever

A wheelbarrow is a second-class lever. In a second-class lever, the load (the contents of the wheelbarrow) is located between the fulcrum (the wheel's axle) and the effort (the force applied to the handles).

Question 16: A roller coaster car is at the top of a hill, momentarily motionless before it begins to descend. At this specific point, which statement best describes its energy?

It has maximum kinetic energy and minimum potential energy.
It has zero kinetic and zero potential energy.
It has equal amounts of kinetic and potential energy.
It has maximum potential energy and minimum kinetic energy. (Correct answer)

Correct answer: It has maximum potential energy and minimum kinetic energy.

Potential energy is stored energy due to an object's position or height, while kinetic energy is the energy of motion. At the highest point of its path, the roller coaster has the greatest height, so its gravitational potential energy is at a maximum. Since it is momentarily motionless, its velocity is zero, and therefore its kinetic energy is at a minimum (zero). As it rolls down, the potential energy is converted into kinetic energy.

Question 17: Which of the following best describes the primary function of a fuse in an electrical circuit?

To regulate the flow of current to a constant value.
To store electrical energy for later use.
To increase the voltage of the circuit.
To protect the circuit from excessive current. (Correct answer)

Correct answer: To protect the circuit from excessive current.

A fuse is a safety device containing a metal strip or wire that melts and breaks the circuit if the current exceeds a safe level. Its sole purpose is to provide overcurrent protection, preventing damage to the circuit's components and reducing fire risk. It does not store energy, increase voltage, or regulate current.

Question 18: A person is standing on the bank of a clear, still pond and wants to spear a fish that they see in the water. Due to an optical effect, the fish is not where it appears to be. Where should the person aim to hit the fish?

Slightly above the apparent location of the fish.
Directly at the apparent location of the fish.
Slightly below the apparent location of the fish. (Correct answer)
To the left or right of the apparent location.

Correct answer: Slightly below the apparent location of the fish.

This phenomenon is due to the refraction of light. When light rays travel from the fish (in the water) to the observer's eyes (in the air), they bend away from the normal. This makes the fish appear to be at a shallower depth than it actually is. Therefore, to hit the fish, one must aim below its apparent image.

Question 19: To lift a 200 lb engine out of a car, a mechanic uses a pulley system. If the mechanic can only pull with 50 lbs of force, what is the minimum mechanical advantage the pulley system must have (ignoring friction)?

4 (Correct answer)
3
2
5

Correct answer: 4

Mechanical Advantage (MA) is the ratio of the load force to the effort force (MA = Load / Effort). In this case, the load is 200 lbs and the effort is 50 lbs. Therefore, the required mechanical advantage is 200 / 50 = 4.

Question 20: A driver gear with 10 teeth meshes with a driven gear of 40 teeth. What is the gear ratio?

4:1
1:2
2:1
1:4 (Correct answer)

Correct answer: 1:4

The ratio of driver to driven teeth is 10:40, which simplifies to 1:4.

Question 21: Two ships are sailing at high speed, parallel to each other and in close proximity. Due to Bernoulli's principle, what is the most likely interaction between the ships?

They will be pulled toward each other. (Correct answer)
Their speed will increase.
There will be no noticeable effect.
They will be pushed apart.

Correct answer: They will be pulled toward each other.

According to Bernoulli's principle, an increase in the speed of a fluid occurs simultaneously with a decrease in pressure. The water flowing in the narrow channel between the two ships moves faster than the water on their outer sides. This creates a region of lower pressure between them. The higher pressure on the outer sides of the ships then pushes them toward each other.

Question 22: Water flows steadily through a pipe that narrows from point X to point Y. Which of the following statements is true about the water's velocity?

The velocity is greater at point Y than at point X. (Correct answer)
The velocity is greater at point X than at point Y.
The velocity decreases to zero at point Y.
The velocity is the same at both points.

Correct answer: The velocity is greater at point Y than at point X.

Based on the principle of continuity for an incompressible fluid, the mass flow rate must remain constant. This means the product of the cross-sectional area and the fluid velocity is constant (A1*V1 = A2*V2). Since the area at point Y is smaller than the area at point X, the velocity of the water must be greater at point Y to maintain the same volume of water flowing per unit of time.

Question 23: A crane lifts a load. To avoid tipping, a heavy counterweight is placed where?

On the load hook
On the same side as the load
At the very top
On the opposite side of the pivot from the load (Correct answer)

Correct answer: On the opposite side of the pivot from the load

A counterweight on the opposite side balances the load's moment and keeps the crane from tipping.

Question 24: Using a crowbar to pry open a crate is an application of a first-class lever. Where is the fulcrum located in this action?

At the handle end where force is applied.
At the point where the crowbar lifts the crate lid.
In the middle of the crowbar's length.
At the point where the crowbar rests on the edge of the crate. (Correct answer)

Correct answer: At the point where the crowbar rests on the edge of the crate.

In a first-class lever, the fulcrum is located between the effort and the load. When using a crowbar to open a crate, the effort is applied to the handle, the load is the resistance from the crate lid, and the fulcrum is the point where the crowbar pivots on the edge of the crate.

Question 25: A ball is thrown horizontally off a cliff. At the exact same moment, an identical ball is dropped straight down from the same height. Ignoring air resistance, which of the following is true?

The thrown ball hits the ground first.
The thrown ball has a greater vertical velocity upon impact.
They both hit the ground at the same time. (Correct answer)
The dropped ball hits the ground first.

Correct answer: They both hit the ground at the same time.

The horizontal motion of an object is independent of its vertical motion. Both balls start with zero vertical velocity and are subject to the same downward acceleration due to gravity. Therefore, they will travel the same vertical distance in the same amount of time and hit the ground simultaneously. The thrown ball will have a greater overall speed upon impact because it has both horizontal and vertical velocity components, but its time in the air is determined solely by its vertical motion.

Question 26: Hot air inside a sealed balloon will cause the balloon to do what?

Expand and rise (Correct answer)
Stay exactly the same
Shrink and sink
Freeze

Correct answer: Expand and rise

Heated air expands and becomes less dense, causing it to rise.

Question 27: An object is thrown straight up into the air. At the very peak of its trajectory, which of the following is true?

Its acceleration is zero.
Its velocity is at its maximum.
Its velocity is zero, but its acceleration is not zero. (Correct answer)
Its acceleration and velocity are both zero.

Correct answer: Its velocity is zero, but its acceleration is not zero.

At the peak of its trajectory, the object momentarily stops moving upwards before it begins to fall back down, so its instantaneous velocity is zero. However, the force of gravity is constantly acting on it, causing a constant downward acceleration (approximately 9.8 m/s²). Therefore, even when its velocity is zero at the top, its acceleration is not.

Question 28: A larger pulley diameter on the driven side of a belt produces:

No change at all
Belt reversal
More torque, less speed (Correct answer)
Less torque, more speed

Correct answer: More torque, less speed

A larger driven pulley turns slower but with greater torque.

Question 29: A bimetallic strip is constructed by bonding a strip of steel to a strip of copper. Copper has a higher coefficient of thermal expansion than steel. If the straight strip is uniformly heated, how will it respond?

It will bend with the copper on the inside (concave side) of the curve.
It will twist into a corkscrew shape.
It will remain straight but will become slightly thicker.
It will bend with the steel on the inside (concave side) of the curve. (Correct answer)

Correct answer: It will bend with the steel on the inside (concave side) of the curve.

When heated, both metals expand, but copper expands more than steel for the same temperature change. Because the two strips are bonded together, the only way to accommodate the copper strip becoming longer than the steel strip is for the entire assembly to bend. The longer material (copper) will form the outer, longer arc of the curve, forcing the shorter material (steel) to be on the inside of the curve.

Question 30: In the gear train shown, the driver gear A has 40 teeth and rotates clockwise. Gear B has 20 teeth, and Gear C has 40 teeth. In which direction and at what relative speed does Gear C rotate compared to Gear A?

Clockwise, at the same speed as Gear A. (Correct answer)
Clockwise, slower than Gear A.
Counter-clockwise, at the same speed as Gear A.
Counter-clockwise, faster than Gear A.

Correct answer: Clockwise, at the same speed as Gear A.

Gear A turns clockwise, causing the intermediate gear (B) to turn counter-clockwise. Gear B then causes Gear C to turn clockwise. Since Gear A and Gear C have the same number of teeth (40), they will rotate at the same speed. The idler gear (B) only serves to change the direction of rotation.

Question 31: If the angle of an inclined plane increases, what happens to the force needed to push an object up it?

It decreases
It increases (Correct answer)
It depends only on mass
It remains the same

Correct answer: It increases

A steeper angle increases the parallel gravity component, so more force is needed to push the object upward.

Question 32: Compared to sliding (kinetic) friction, rolling friction between the same surfaces is generally:

Less (Correct answer)
Greater
Unpredictable
Equal

Correct answer: Less

Rolling friction is significantly less than sliding friction because contact area and deformation are reduced.

Question 33: Power is defined as which of the following?

Energy multiplied by time
Force multiplied by distance
Work done per unit time (Correct answer)
Mass multiplied by velocity

Correct answer: Work done per unit time

Power is the rate at which work is done, calculated as work divided by time (P = W/t).

Question 34: What is the main advantage of a gear train that reduces speed?

It removes the need for a motor
It reduces torque
It increases torque (Correct answer)
It eliminates friction

Correct answer: It increases torque

Speed reduction trades rotational speed for greater torque output.

Question 35: Which of the following optical devices is most suitable for concentrating sunlight to a single point to start a fire?

A plane mirror.
A concave lens.
A flat pane of glass.
A convex lens. (Correct answer)

Correct answer: A convex lens.

A convex lens, which is thicker in the middle than at the edges, converges (brings together) parallel rays of light to a focal point. By focusing the sun's rays onto a small spot, the energy is concentrated enough to generate intense heat and ignite flammable material. A concave lens, in contrast, diverges light rays.

Question 36: For a siphon to successfully transfer water from a higher container to a lower container, which of the following conditions is essential?

The diameter of the tube's outlet must be larger than its inlet.
The highest point of the tube must be below the water level of the source container.
The outlet of the siphon tube must be below the water level of the source container. (Correct answer)
Both containers must be at the same atmospheric pressure.

Correct answer: The outlet of the siphon tube must be below the water level of the source container.

A siphon works because the weight of the water in the longer, downward leg of the tube creates a pressure difference that pulls water up the shorter leg. For this to happen, the final outlet of the tube must be at a lower elevation than the surface of the liquid in the source container. This height difference provides the gravitational potential energy needed to drive the flow.

Question 37: Ignoring air resistance, if a 1kg stone and a 10kg cannonball are dropped from the same height at the same time, which will hit the ground first?

They will hit the ground at the same time (Correct answer)
The 10kg cannonball
It depends on the shape of the objects
The 1kg stone

Correct answer: They will hit the ground at the same time

In a vacuum or when air resistance is ignored, all objects fall at the same rate of acceleration due to gravity (approximately 9.8 m/s² on Earth), regardless of their mass. While gravity exerts a greater force on the more massive object (the cannonball), that object also has greater inertia (resistance to acceleration). These two effects cancel each other out, resulting in the same acceleration for both objects.

Question 38: Which describes a force?

The speed of an object
A spinning motion only
A measure of mass
A push or pull on an object (Correct answer)

Correct answer: A push or pull on an object

A force is any push or pull that can change an object's motion.

Question 39: To balance a seesaw, a lighter child should sit:

Off the seesaw
Closer to the center
On top of the heavier child
Farther from the center (Correct answer)

Correct answer: Farther from the center

Sitting farther out increases the lighter child's turning effect to match the heavier child.

Question 40: A roller coaster car at the very top of a hill has its maximum amount of which energy?

Elastic potential energy
Kinetic energy
Thermal energy
Gravitational potential energy (Correct answer)

Correct answer: Gravitational potential energy

At the highest point of its path, the car is slowest and has maximum gravitational potential energy.

Question 41: Increasing the number of teeth on the driven gear while keeping the driver fixed will:

Reverse direction
Lower output speed (Correct answer)
Raise output speed
Keep speed the same

Correct answer: Lower output speed

More driven teeth means a larger ratio and slower output.

Question 42: In which state of matter do particles have the most thermal energy and freedom of movement?

Crystal
Solid
Liquid
Gas (Correct answer)

Correct answer: Gas

Gas particles move fastest and farthest apart, carrying the most thermal energy.

Question 43: Torque is proportional to the distance between the center of rotation and the point where the force acts _______.

Indirectly
Directly (Correct answer)

Correct answer: Directly

Torque is directly proportional to the distance between the center of rotation (fulcrum) and the point where the force is applied. This means that if you increase this distance, also known as the lever arm, the resulting torque will increase proportionally, assuming the applied force remains constant.

Question 44: Two copper wires are of the same length, but one is thicker than the other. Which statement is true regarding their electrical resistance?

The thinner wire has less resistance.
The resistance depends on the voltage applied, not the thickness.
The thicker wire has less resistance. (Correct answer)
Both wires have the same resistance.

Correct answer: The thicker wire has less resistance.

The electrical resistance of a wire is inversely proportional to its cross-sectional area. A thicker wire has a larger cross-sectional area, which provides more pathways for the electric current to flow, thus reducing the overall resistance. Think of it like a water pipe: a wider pipe allows more water to flow through with less opposition.

Question 45: A 100 N block slides on a surface with a coefficient of kinetic friction of 0.3. What is the friction force?

3 N
300 N
30 N (Correct answer)
0.3 N

Correct answer: 30 N

Friction force = μk × Normal force = 0.3 × 100 = 30 N.

Question 46: A technician accidentally drops a metal wrench across the positive and negative terminals of a live car battery. This creates a dangerous situation known as a:

Short circuit (Correct answer)
Parallel circuit
Series circuit
Open circuit

Correct answer: Short circuit

A short circuit is an unintended, low-resistance path for current to flow between two points in a circuit. The metal wrench provides a very low-resistance path directly between the battery's positive and negative terminals, causing an extremely high and dangerous amount of current to flow. An open circuit is a break in the path, which would stop current flow entirely.

Question 47: In the pulley system shown, assuming the system is frictionless, what is the minimum force (F) required to lift the 120kg weight?

60 kg
40 kg (Correct answer)
120 kg
30 kg

Correct answer: 40 kg

The mechanical advantage of a pulley system is equal to the number of rope segments supporting the load. In this diagram, there are 3 ropes directly supporting the movable pulley and the weight. Therefore, the force required is the total weight divided by the mechanical advantage (120 kg / 3 = 40 kg).

Question 48: An L-shaped block is resting on a table on its largest face, with the short arm pointing towards you. If you rotate the block 90 degrees clockwise around its vertical axis, where will the short arm be pointing?

Towards you
To your left
Away from you
To your right (Correct answer)

Correct answer: To your right

Imagine looking down at the L-shape from above. The short arm points towards you (South). A 90-degree clockwise rotation around the vertical axis will move the feature that was pointing South to the position that is now West, which is to your right.

Question 49: On an inclined plane, the normal force is always perpendicular to which surface or direction?

The horizontal ground
The direction of gravity
The direction of motion
The surface of the incline (Correct answer)

Correct answer: The surface of the incline

By definition, the normal force acts perpendicular (at 90°) to the surface the object rests on.

Question 50: A skydiver jumps from a plane. After a few seconds, she stops accelerating and falls at a constant speed. What is this constant speed called?

Maximum acceleration
Escape velocity
Terminal velocity (Correct answer)
Gravitational constant

Correct answer: Terminal velocity

Terminal velocity is the constant speed that a freely falling object eventually reaches when the resistance of the medium (like air) through which it is falling equals the force of gravity. At this point, the net force on the object is zero, and it stops accelerating, continuing to fall at a constant velocity.

Question 51: A hydraulic press has a small piston with an area of 2 square inches and a large piston with an area of 20 square inches. If a force of 50 lbs is applied to the small piston, what is the maximum weight the large piston can lift?

1000 lbs
500 lbs (Correct answer)
50 lbs
5 lbs

Correct answer: 500 lbs

According to Pascal's principle, pressure applied to an enclosed fluid is transmitted equally throughout. Pressure is Force divided by Area (P = F/A). Therefore, the pressure on the small piston (P1) is equal to the pressure on the large piston (P2), so F1/A1 = F2/A2. The force is multiplied by the ratio of the areas (20 in² / 2 in² = 10). The output force is 10 times the input force: 50 lbs * 10 = 500 lbs.

Question 52: Which of the following scenarios provides the greatest mechanical advantage?

A fishing rod casting a line.
Using a pair of tweezers to pick up a small object.
A single movable pulley attached to the load. (Correct answer)
A single fixed pulley changing the direction of pull.

Correct answer: A single movable pulley attached to the load.

A single movable pulley provides a mechanical advantage of 2, meaning it halves the effort needed to lift a load. A single fixed pulley only changes the direction of force and has a mechanical advantage of 1. Tweezers and fishing rods are third-class levers, where the effort is between the fulcrum and the load, resulting in a mechanical advantage of less than 1.

Question 53: A horizontal cantilever beam is securely fixed into a wall at one end and extends outwards. If a heavy weight is hung from the free end, where will the beam experience the greatest bending stress?

Exactly in the middle of its length.
At the free end, where the weight is attached.
The stress is uniform along the entire length.
At the point where it is fixed to the wall. (Correct answer)

Correct answer: At the point where it is fixed to the wall.

The point where the beam is fixed to the wall must support the entire weight plus the turning force (moment) created by the weight acting at a distance. This results in the maximum bending moment and therefore the greatest stress at the fixed support. [21, 26]

Question 54: If person X wants to balance the seesaw, in which direction should they move?

They should stay in the same position
Towards A (Correct answer)
It is impossible to balance
Towards B

Correct answer: Towards A

To balance the seesaw, the torque on both sides of the fulcrum must be equal. Torque is calculated as Force x Distance from the fulcrum. Since the weight on the right side is heavier, person X, who is lighter, must increase their distance from the fulcrum to increase their torque. Moving towards A increases this distance.

Question 55: What is the mechanical energy conservation principle?

As long as other forces are applied, an object's total mechanical energy (PE + KE) remains constant.
As long as no other force is applied, an object's total mechanical energy (PE + KE) does not remain constant.
As long as no other force is applied, an object's total mechanical energy (PE + KE) remains constant. (Correct answer)

Correct answer: As long as no other force is applied, an object's total mechanical energy (PE + KE) remains constant.

The principle of mechanical energy conservation states that in a system where only conservative forces are doing work, the total mechanical energy, which is the sum of an object's potential energy (PE) and kinetic energy (KE), remains constant. This means that energy can transform between potential and kinetic forms, but their sum stays the same, provided no non-conservative forces like friction or air resistance are acting.

Bennett Mechanical Comprehension Test

The Bennett Mechanical Comprehension Test (BMCT-II), published by Pearson TalentLens, measures mechanical aptitude and understanding of physical and mechanical principles including force, motion, gravity, fluid mechanics, pulleys, gears, and electricity.

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25 min

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80%

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