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FTCE Physics 6-12 study materials
FTCE Physics 6-12 study resources

FTCE Physics 6-12 practice questions

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Question 1Mechanics

On a velocity-versus-time graph for an object moving in a straight line, the area under the curve represents the object's:

  1. displacement Correct answer.
  2. acceleration
  3. instantaneous speed
  4. average force

Explanation

The area under a velocity-time graph equals velocity multiplied by time, which yields displacement. The slope of that same graph gives acceleration. Interpreting motion graphs is a key mechanics and mathematics skill.

Question 2Mechanics

A ball is dropped from rest and falls freely for 3.0 seconds near Earth's surface. Ignoring air resistance, its approximate speed at that moment is:

  1. 29 m/s Correct answer.
  2. 9.8 m/s
  3. 3.0 m/s
  4. 44 m/s

Explanation

For free fall from rest, v = g x t = 9.8 m/s^2 x 3.0 s, which is about 29 m/s. The object accelerates uniformly under gravity. This applies the kinematic equations in the mechanics competency.

Question 3Mechanics

According to Newton's second law, if the net force on an object doubles while its mass stays constant, the object's acceleration:

  1. doubles Correct answer.
  2. is halved
  3. stays the same
  4. quadruples

Explanation

Newton's second law states a = F/m, so acceleration is directly proportional to net force when mass is constant. Doubling the force doubles the acceleration. This is a foundational mechanics relationship.

Question 4Mechanics

A 2.0 kg cart moving at 3.0 m/s collides and sticks to a stationary 4.0 kg cart. By conservation of momentum, the combined velocity after the collision is:

  1. 1.0 m/s Correct answer.
  2. 1.5 m/s
  3. 2.0 m/s
  4. 3.0 m/s

Explanation

Total momentum before equals (2.0 kg)(3.0 m/s) = 6.0 kg-m/s. After the perfectly inelastic collision, this is shared by 6.0 kg total mass, giving v = 6.0/6.0 = 1.0 m/s. Conservation of momentum is central to the mechanics competency.

Question 5Mechanics

A 5.0 kg object is lifted vertically 2.0 m at constant speed near Earth's surface. The work done against gravity is approximately:

  1. 98 J Correct answer.
  2. 10 J
  3. 49 J
  4. 196 J

Explanation

Work against gravity equals mgh = (5.0 kg)(9.8 m/s^2)(2.0 m) = 98 J. At constant speed, this also equals the gain in gravitational potential energy. Work-energy concepts are part of the mechanics competency.

Question 6Mechanics

An object moves in a circle of constant radius at constant speed. The net force on it is directed:

  1. toward the center of the circle Correct answer.
  2. tangent to the circle in the direction of motion
  3. outward away from the center
  4. opposite to the direction of motion

Explanation

Uniform circular motion requires a centripetal force directed toward the center, continuously changing the velocity's direction. There is no real outward force; the apparent 'centrifugal' effect is inertia. This is a key mechanics concept.

Question 7Mechanics

A mass on a spring undergoes simple harmonic motion. At the maximum displacement from equilibrium, the mass has:

  1. maximum potential energy and zero kinetic energy Correct answer.
  2. maximum kinetic energy and zero potential energy
  3. equal kinetic and potential energy
  4. zero total mechanical energy

Explanation

At maximum displacement (amplitude) the spring is fully stretched or compressed, storing maximum elastic potential energy, while the velocity-and thus kinetic energy-is momentarily zero. Energy then transfers back to kinetic as the mass returns toward equilibrium. SHM energy exchange is a mechanics skill.

Question 8Mechanics

A box rests on a horizontal surface. The static friction force on the box just before it begins to slide is determined by:

  1. the coefficient of static friction times the normal force Correct answer.
  2. the box's weight times its velocity
  3. the surface area of contact only
  4. the coefficient of kinetic friction times the applied force

Explanation

Maximum static friction equals the coefficient of static friction multiplied by the normal force (f = mu_s x N). Contact area does not appear in this model. Friction relationships are part of the mechanics competency.

Question 9Mechanics

A projectile is launched at an angle above level ground with negligible air resistance. At the highest point of its trajectory, its:

  1. vertical velocity is zero but horizontal velocity is unchanged Correct answer.
  2. total velocity is zero
  3. acceleration is zero
  4. horizontal velocity is zero but vertical velocity is maximum

Explanation

At the peak, the vertical velocity component momentarily becomes zero, while the horizontal component stays constant throughout the flight. Gravity continues to provide downward acceleration of 9.8 m/s^2. Projectile motion is a core mechanics topic.

Question 10Mechanics

A uniform meterstick is balanced at its 50 cm mark. A 200 g mass hangs at the 20 cm mark. To balance the stick, a 100 g mass must hang at the:

  1. 110 cm mark, which is impossible, so a heavier strategy is needed
  2. 60 cm mark
  3. 80 cm mark
  4. 100 cm mark Correct answer.

Explanation

Torque balance about the pivot requires (200 g)(30 cm) = (100 g)(d). The 200 g mass is 30 cm left of the pivot, giving a torque arm of 6000 g-cm; the 100 g mass needs an arm of 60 cm, placing it at the 100 cm mark on the right side. Rotational equilibrium is a mechanics skill.

Question 11Mechanics

An engine delivers 600 J of useful work in 4.0 seconds. Its power output is:

  1. 150 W Correct answer.
  2. 2400 W
  3. 0.0067 W
  4. 604 W

Explanation

Power equals work divided by time: P = 600 J / 4.0 s = 150 W. The watt is one joule per second. Power calculations are part of the mechanics competency.

Question 12Mechanics

According to Newton's third law, when a swimmer pushes backward on the water, the water:

  1. pushes the swimmer forward with an equal and opposite force Correct answer.
  2. pushes the swimmer backward with a smaller force
  3. exerts no reaction force on the swimmer
  4. pulls the swimmer downward due to buoyancy

Explanation

Newton's third law states that forces occur in equal and opposite pairs acting on different objects. The swimmer pushes the water backward, and the water pushes the swimmer forward with equal magnitude, propelling them. This is a foundational mechanics principle.

Question 13Mechanics

A solid object floats in water with part of its volume submerged. According to Archimedes' principle, the buoyant force on the object equals the:

  1. weight of the water displaced by the submerged portion Correct answer.
  2. weight of the entire object times its density
  3. volume of the object times atmospheric pressure
  4. mass of the object divided by gravity

Explanation

Archimedes' principle states the buoyant force equals the weight of the fluid displaced. For a floating object, this buoyant force balances the object's full weight. Fluid statics fall within the mechanics competency.

Question 14Mechanics

A 1000 kg car traveling at 20 m/s has a kinetic energy of:

  1. 200000 J Correct answer.
  2. 20000 J
  3. 400000 J
  4. 10000 J

Explanation

Kinetic energy equals one-half times mass times velocity squared: KE = 0.5 x 1000 x 20^2 = 0.5 x 1000 x 400 = 200000 J. This is a standard energy calculation in the mechanics competency.

Question 15Mechanics

A car accelerates uniformly from rest to 24 m/s over 6.0 seconds. Its acceleration is:

  1. 4.0 m/s squared Correct answer.
  2. 144 m/s squared
  3. 0.25 m/s squared
  4. 30 m/s squared

Explanation

Acceleration is the change in velocity divided by time: a = (24 - 0)/6.0 = 4.0 m/s^2. Uniform acceleration calculations are a core mechanics skill.

Question 16Mechanics

A 60 kg person stands on a scale in an elevator accelerating upward at 2.0 m/s squared. The scale reads a force closest to:

  1. 708 N Correct answer.
  2. 588 N
  3. 468 N
  4. 120 N

Explanation

The normal force is N = m(g + a) = 60(9.8 + 2.0) = 60 x 11.8 = 708 N. Upward acceleration increases the apparent weight. Applying Newton's laws in non-inertial situations is a mechanics skill.

Question 17Mechanics

Which statement best describes the relationship between an object's mass and its weight?

  1. Mass is constant, but weight depends on local gravitational acceleration Correct answer.
  2. Mass and weight are identical and interchangeable terms
  3. Weight is constant, but mass changes with location
  4. Both mass and weight are measured in newtons

Explanation

Mass is an intrinsic measure of matter and stays the same everywhere, while weight is the gravitational force on that mass (W = mg) and varies with local g. On the Moon, weight is less though mass is unchanged. This is a foundational mechanics distinction.

Question 18Mechanics

A 0.20 kg ball moving at 10 m/s is brought to rest by a glove in 0.50 s. The average force the glove exerts is:

  1. 4.0 N Correct answer.
  2. 2.0 N
  3. 0.40 N
  4. 20 N

Explanation

Impulse equals change in momentum: F x t = m x delta v. So F = (0.20 x 10)/0.50 = 2.0/0.50 = 4.0 N. The impulse-momentum theorem is a mechanics skill.

Question 19Mechanics

A roller coaster car at the top of a hill has primarily gravitational potential energy. As it descends, that energy is mainly converted into:

  1. kinetic energy Correct answer.
  2. thermal radiation
  3. electrical energy
  4. nuclear energy

Explanation

By conservation of mechanical energy, as the car descends its gravitational potential energy converts into kinetic energy, increasing its speed. Some energy is lost to friction as heat, but the dominant transfer is to kinetic energy. Energy conservation is a mechanics topic.

Question 20Mechanics

A 2.0 kg block slides on a frictionless surface and compresses a spring with spring constant 200 N/m by 0.10 m. The elastic potential energy stored is:

  1. 1.0 J Correct answer.
  2. 2.0 J
  3. 20 J
  4. 0.10 J

Explanation

Elastic potential energy is one-half times the spring constant times displacement squared: PE = 0.5 x 200 x (0.10)^2 = 0.5 x 200 x 0.01 = 1.0 J. The spring energy formula is a mechanics skill.

Question 21Mechanics

When an object is in static equilibrium, the conditions that must be satisfied are that:

  1. the net force and the net torque are both zero Correct answer.
  2. only the net force is zero
  3. only the net torque is zero
  4. the object's kinetic energy is at a maximum

Explanation

Static equilibrium requires both translational equilibrium (net force zero) and rotational equilibrium (net torque zero) so the object neither accelerates nor rotates. Both conditions are necessary. Equilibrium is a mechanics topic.

Question 22Mechanics

The frequency of an ideal simple pendulum depends on the pendulum's length and the local gravitational acceleration, but NOT on:

  1. the mass of the bob Correct answer.
  2. the length of the string
  3. the value of gravity
  4. the amplitude for large swings

Explanation

For small oscillations, the period of a simple pendulum is determined by length and gravity (T = 2 pi times the square root of L/g) and is independent of the bob's mass. This is a classic mechanics result about simple harmonic motion.

Question 23Mechanics

A 3.0 kg object experiences a net force of 12 N. According to Newton's second law, its acceleration is:

  1. 4.0 m/s squared Correct answer.
  2. 36 m/s squared
  3. 0.25 m/s squared
  4. 9.0 m/s squared

Explanation

Newton's second law gives a = F/m = 12 N / 3.0 kg = 4.0 m/s^2. This direct application of F = ma is a foundational mechanics calculation.

Question 24Electricity Magnetism

Two point charges are separated by a distance r. If the distance between them is doubled, the electrostatic force between them becomes:

  1. one-quarter of its original value Correct answer.
  2. one-half of its original value
  3. twice its original value
  4. four times its original value

Explanation

Coulomb's law states the force is inversely proportional to the square of the distance. Doubling r divides the force by 2^2 = 4, leaving one-quarter. The inverse-square law is central to the electricity-and-magnetism competency.

Question 25Electricity Magnetism

A resistor carries a current of 2.0 A when 12 V is applied across it. By Ohm's law, its resistance is:

  1. 6.0 ohms Correct answer.
  2. 24 ohms
  3. 0.17 ohms
  4. 10 ohms

Explanation

Ohm's law states V = IR, so R = V/I = 12/2.0 = 6.0 ohms. This relationship between voltage, current, and resistance is fundamental to the electricity-and-magnetism competency.

Question 26Electricity Magnetism

Three 6-ohm resistors are connected in series. The total resistance of the combination is:

  1. 18 ohms Correct answer.
  2. 2 ohms
  3. 6 ohms
  4. 3 ohms

Explanation

Resistances in series add directly: 6 + 6 + 6 = 18 ohms. Series resistance is always greater than any single resistor. Combining resistors is a core electricity-and-magnetism skill.

Question 27Electricity Magnetism

Two 4-ohm resistors are connected in parallel. The equivalent resistance of the pair is:

  1. 2 ohms Correct answer.
  2. 8 ohms
  3. 4 ohms
  4. 16 ohms

Explanation

For two equal resistors in parallel, the equivalent resistance is half of one: 4/2 = 2 ohms. Parallel resistance is always less than the smallest individual resistor. This is an electricity-and-magnetism skill.

Question 28Electricity Magnetism

A device dissipates power according to P = IV. If it draws 3.0 A at 120 V, its power consumption is:

  1. 360 W Correct answer.
  2. 40 W
  3. 123 W
  4. 0.025 W

Explanation

Electrical power equals current times voltage: P = (3.0 A)(120 V) = 360 W. This formula links current, voltage, and power in the electricity-and-magnetism competency.

Question 29Electricity Magnetism

Magnetic field lines around a bar magnet:

  1. emerge from the north pole and enter the south pole, forming closed loops Correct answer.
  2. begin at the north pole and end in empty space
  3. point radially inward toward the center of the magnet
  4. exist only inside the magnet, never outside

Explanation

Magnetic field lines run from north to south outside the magnet and continue south to north inside, forming continuous closed loops. They never begin or end, reflecting the absence of magnetic monopoles. Magnetic fields are an electricity-and-magnetism topic.

Question 30Electricity Magnetism

A current-carrying wire is placed in a uniform magnetic field perpendicular to the current. The force on the wire is:

  1. perpendicular to both the current and the magnetic field Correct answer.
  2. parallel to the current direction
  3. parallel to the magnetic field
  4. zero in all orientations

Explanation

The magnetic force on a current follows F = IL x B, which is perpendicular to both the current direction and the field, as given by the right-hand rule. This underlies electric motors. It is an electricity-and-magnetism concept.

Question 31Electricity Magnetism

Faraday's law of electromagnetic induction states that an electromotive force is induced in a loop when:

  1. the magnetic flux through the loop changes over time Correct answer.
  2. a steady current flows around the loop
  3. the loop is held stationary in a constant field
  4. the loop's resistance is increased

Explanation

Faraday's law states the induced EMF is proportional to the rate of change of magnetic flux through the loop. A constant flux induces no EMF. Electromagnetic induction is an electricity-and-magnetism topic.

Question 32Electricity Magnetism

A capacitor in a circuit primarily functions to:

  1. store electric charge and energy in an electric field Correct answer.
  2. convert electrical energy into heat
  3. provide a steady source of current indefinitely
  4. amplify the voltage of a signal

Explanation

A capacitor stores energy in the electric field between its plates as it accumulates charge. It does not dissipate energy as heat the way a resistor does. Capacitor behavior is an electricity-and-magnetism topic.

Question 33Electricity Magnetism

An object becomes negatively charged when it:

  1. gains electrons Correct answer.
  2. loses electrons
  3. gains protons
  4. loses neutrons

Explanation

Charge transfer in ordinary processes involves electrons. Gaining electrons gives an object a net negative charge; losing electrons makes it positive. Protons and neutrons stay in the nucleus. Charging is an electrostatics concept in this competency.

Question 34Electricity Magnetism

Inside a uniform electric field, a positive test charge experiences a force directed:

  1. in the same direction as the field Correct answer.
  2. opposite to the field
  3. perpendicular to the field
  4. in a circular path around the field lines

Explanation

By definition, the electric field points in the direction of the force on a positive test charge. So a positive charge is pushed along the field, while a negative charge is pushed opposite. Electric fields are an electricity-and-magnetism topic.

Question 35Electricity Magnetism

A step-up transformer increases voltage from the primary to the secondary coil by having:

  1. more turns in the secondary coil than in the primary coil Correct answer.
  2. fewer turns in the secondary coil than in the primary coil
  3. equal turns in both coils
  4. an iron core that generates new energy

Explanation

In an ideal transformer the voltage ratio equals the turns ratio, so a step-up transformer has more secondary turns. Energy is conserved, so the current decreases as voltage rises. Transformers are an electricity-and-magnetism topic.

Question 36Electricity Magnetism

In a simple series circuit, if one bulb burns out and the circuit is broken, the other bulbs:

  1. go out because the current path is interrupted Correct answer.
  2. become brighter because more voltage is available
  3. stay the same brightness
  4. draw current through an alternate parallel path

Explanation

In a series circuit there is a single path, so a break anywhere stops current everywhere and all bulbs go out. This contrasts with parallel circuits, where each branch is independent. Circuit topology is an electricity-and-magnetism topic.

Question 37Electricity Magnetism

Lenz's law indicates that the direction of an induced current is such that its magnetic field:

  1. opposes the change in flux that produced it Correct answer.
  2. reinforces the change in flux that produced it
  3. is always parallel to the original field
  4. is independent of the original field's direction

Explanation

Lenz's law states the induced current flows so its magnetic field opposes the change in flux, which is a consequence of conservation of energy. This sign convention accompanies Faraday's law. Lenz's law is an electricity-and-magnetism concept.

Question 38Electricity Magnetism

A 100 W light bulb operates for 5.0 hours. The energy it consumes is:

  1. 0.5 kilowatt-hours Correct answer.
  2. 500 kilowatt-hours
  3. 20 kilowatt-hours
  4. 0.02 kilowatt-hours

Explanation

Energy equals power times time. In kilowatt-hours, 100 W is 0.1 kW, so 0.1 kW x 5.0 h = 0.5 kWh. The kilowatt-hour is the standard unit for electrical energy billing. This is an electricity-and-magnetism application.

Question 39Electricity Magnetism

An electric field exists between two parallel plates connected to a battery. Doubling the plate separation while keeping the voltage constant causes the electric field strength to:

  1. decrease to half its value Correct answer.
  2. increase to double its value
  3. stay the same
  4. increase fourfold

Explanation

For parallel plates, the uniform field is E = V/d. With V constant, doubling d halves the field. This relationship is an electricity-and-magnetism concept.

Question 40Electricity Magnetism

A solenoid carrying a steady current produces a magnetic field that, inside the coil, is:

  1. nearly uniform and directed along the axis Correct answer.
  2. strongest at the coil's outer edges
  3. zero everywhere inside the coil
  4. directed radially outward from the axis

Explanation

A long solenoid produces a nearly uniform magnetic field parallel to its axis inside the coil, much like a bar magnet. The external field is comparatively weak. Solenoid fields are an electricity-and-magnetism topic.

Question 41Electricity Magnetism

A charged particle moving parallel to a uniform magnetic field experiences a magnetic force of:

  1. zero, because the velocity is parallel to the field Correct answer.
  2. maximum magnitude
  3. a value equal to its charge times the field strength
  4. a force directed along its motion

Explanation

The magnetic force is F = qv x B, which depends on the sine of the angle between velocity and field. When motion is parallel to the field, that angle is zero and the force vanishes. The force is maximum when motion is perpendicular. This is an electricity-and-magnetism concept.

Question 42Electricity Magnetism

Conventional electric current in a metal wire is defined as the direction of flow of:

  1. positive charge, opposite to the actual electron motion Correct answer.
  2. negative charge, the same as the electron motion
  3. neutral particles through the conductor
  4. magnetic field lines around the wire

Explanation

By convention, current is taken as the direction positive charge would flow, which is opposite to the actual drift of electrons in a metal. This convention predates the discovery of the electron. Current direction is an electricity-and-magnetism concept.

Question 43Electricity Magnetism

A 1500 W electric heater is connected to a 120 V outlet. The current it draws is closest to:

  1. 12.5 A Correct answer.
  2. 180000 A
  3. 0.08 A
  4. 1620 A

Explanation

Using P = IV, current is I = P/V = 1500/120 = 12.5 A. This connects power, voltage, and current and is an electricity-and-magnetism calculation.

Question 44Electricity Magnetism

A wire moves through a magnetic field, generating a voltage. Increasing the speed of the wire while keeping other factors constant will:

  1. increase the induced voltage Correct answer.
  2. decrease the induced voltage
  3. have no effect on the voltage
  4. reverse the polarity of the voltage

Explanation

The motional EMF is proportional to the wire's speed (EMF = BLv), so moving the wire faster increases the induced voltage. This is the basis of electric generators. Motional EMF is an electricity-and-magnetism concept.

Question 45Waves Optics

A wave has a frequency of 250 Hz and travels at 340 m/s. Its wavelength is approximately:

  1. 1.36 m Correct answer.
  2. 85000 m
  3. 0.74 m
  4. 590 m

Explanation

The wave equation v = f x lambda gives lambda = v/f = 340/250 = 1.36 m. Frequency and wavelength are inversely related at fixed speed. This is a core waves-and-optics calculation.

Question 46Waves Optics

Sound waves traveling through air are classified as:

  1. longitudinal waves, with vibrations parallel to the direction of travel Correct answer.
  2. transverse waves, with vibrations perpendicular to the direction of travel
  3. electromagnetic waves that need no medium
  4. standing waves that do not transfer energy

Explanation

Sound is a longitudinal mechanical wave: air particles oscillate back and forth parallel to the wave's direction, creating compressions and rarefactions. It requires a medium. Wave classification is a waves-and-optics topic.

Question 47Waves Optics

When light passes from air into water, it slows down and bends toward the normal. This bending is called:

  1. refraction Correct answer.
  2. diffraction
  3. reflection
  4. dispersion

Explanation

Refraction is the change in direction of a wave as it changes speed crossing a boundary between media. Light entering a denser medium like water slows and bends toward the normal. Refraction is a central waves-and-optics concept.

Question 48Waves Optics

An object is placed beyond the center of curvature of a concave mirror. The image formed is:

  1. real, inverted, and smaller than the object Correct answer.
  2. virtual, upright, and larger than the object
  3. real, upright, and the same size
  4. virtual, inverted, and smaller

Explanation

For a concave mirror with the object beyond the center of curvature, the image is real, inverted, reduced, and located between the focal point and center of curvature. Mirror image characteristics are a waves-and-optics skill.

Question 49Waves Optics

Two identical waves meet completely out of phase, crest aligned with trough. The result is:

  1. destructive interference, reducing the amplitude Correct answer.
  2. constructive interference, doubling the amplitude
  3. an increase in the waves' frequency
  4. a change in the medium's density

Explanation

When a crest overlaps a trough of equal amplitude, the displacements cancel, producing destructive interference. If amplitudes are equal, they cancel completely. Interference is a key waves-and-optics topic.

Question 50Waves Optics

A police siren approaching a stationary observer appears to rise in pitch. This change is explained by the:

  1. Doppler effect Correct answer.
  2. photoelectric effect
  3. law of reflection
  4. principle of superposition

Explanation

The Doppler effect describes the apparent change in frequency when a source and observer move relative to each other. An approaching source compresses wavefronts, raising the observed pitch. The Doppler effect is a waves-and-optics topic.