Ministry of Education Departmental Examinations Released Questions /
PHYSICS /
September 2016 /

1

Table of Contents

A.Released Questions (2016) – Physics 8257

1.PH30-MP1 Analyze the importance of relativistic principles and quantum mechanics in our world.

2.PH30-MP2 Assess the effects of radioactivity and nuclear technology on society and the environment.

3.PH30-FM1 Analyze motion in one- and two-dimensions, including uniform motion, uniformly accelerated motion, circular motion, and projectile motion.

4.PH30-FM2 Analyze the effects of forces on objects undergoing uniform motion, uniformly accelerated motion and circular motion.

5.PH30-CO1 Investigate the nature of mechanical energy and efficiency in mechanical systems, including the law of conservation of energy.

6.PH30-CO2 Analyze the motion of objects and interactions between objects using momentum concepts, including the law of conservation of momentum.

7.PH30-FI1 Investigate gravitational fields and their interactions with matter.

8.PH30-FI2 Investigate electric and magnetic fields and their interactions with matter.

B.Released Questions (2016) – Physics 8257 Solution Pages

1.PH30-MP1 Analyze the importance of relativistic principles and quantum mechanics in our world.

2.PH30-MP2 Assess the effects of radioactivity and nuclear technology on society and the environment.

3.PH30-FM1 Analyze motion in one- and two-dimensions, including uniform motion, uniformly accelerated motion, circular motion, and projectile motion.

4.PH30-FM2 Analyze the effects of forces on objects undergoing uniform motion, uniformly accelerated motion and circular motion.

5.PH30-CO1 Investigate the nature of mechanical energy and efficiency in mechanical systems, including the law of conservation of energy.

6.PH30-CO2 Analyze the motion of objects and interactions between objects using momentum concepts, including the law of conservation of momentum.

7.PH30-FI1 Investigate gravitational fields and their interactions with matter.

8.PH30-FI2 Investigate electric and magnetic fields and their interactions with matter.

This information package is intended for teachers preparing studentsfor the Physics 30 departmental examination.

A.Released Questions (2016) – Physics 8257

1.PH30-MP1 Analyze the importance of relativistic principles and quantum mechanics in our world.

  1. In a certain experiment, photons are directed at a double slit to produce an interference pattern as shown below:

Detectors placed at the slits provide information on the movement of the photons. Which of the following best describes the path of a single photon as it moves from the photon gun to the screen?

A.The photon will pass through the left slit.

B.The photon will pass through the right slit.

C.The photon will pass through both slits equally.

D.The photon will pass through either slit but not both slits.

2.PH30-MP2 Assess the effects of radioactivity and nuclear technology on society and the environment.

NR1Mendelevium-257 has a half-life of 5.5 hours. If a 320 g sample is made in a lab, how much is left after 22 hours? (Round your answer to the nearest gram.)

(Record your answer in the numeric response section on the answer sheet.)

1.Which of the following types of radiation has the weakest penetrating power?

A.beta

B.alpha

C.x-rays

D.gamma

2.Which subatomic particles are needed to sustain a nuclear fission chain reaction?

A.protons

B.neutrons

C.electrons

D.positrons

3.When an alpha particle is emitted from a nucleus during radioactive decay, what happens to the atomic number of the atom?

A.increases by 2

B.increases by 4

C.decreases by 2

D.decreases by 4

NR2.The Tsar Bomba is the largest nuclear device that has ever been tested on Earth. Its yield (released energy) was 50 megatons or .

What is the mass of nuclear material that was converted to energy?(Round your answer to the nearest gram.)

(Record your answer in the numeric response section on the answer sheet.)

4.Consider the following equation.

What process is illustrated?

A.fusion

B.fission

C.beta decay

D.alpha decay

3.PH30-FM1 Analyze motion in one- and two-dimensions, including uniform motion, uniformly accelerated motion, circular motion, and projectile motion.

1.An object has an initial velocity of [E] and accelerates at 8.0[E]. What is the object’s displacement in 10.0 s?

A.

B.

C.

D.

2.An airplane flies at in a wind. What is thevelocity of the plane relative to the ground?

A.490 km/h [E 12° S]

B.490 km/h [S 12° E]

C.510 km/h [E 11° S]

D.510 km/h [S 11° E]

3.A cyclist rides a bike on a flatbed trailer. The cyclist moves with a velocity of 2.8 m/s [E] relative to the ground, while the trailer moves with a velocity of 1.5 m/s [E] relative to the ground. After 2.0 s, what distance has the bike moved relative to the trailer?

A.1.3 m

B.2.6 m

C.4.3 m

D.8.6 m

4.A stone is thrown horizontally off the edge of a cliff with an initial velocity of 5.7 m/s [E].


What is the vertical component of the initial velocity?

A.0.0 m/s [down]

B.5.7 m/s [E]

C.5.7 m/s [down]

D.9.8 m/s [down]

Use the following information to answer questions 5 and 6.

In the women’s Olympic hammer throw, a hammer consists of a 4.0 kg metal ball attached to a thin wire of negligible mass, as shown below. While grasping the handle in her hands, an athlete spins in circles, then releases the hammer in order to propel it the greatest distance. On a certainthrow, the hammer ball is spun in a 2.4 m radius circular path and released with a horizontal velocity of at a height of 1.0 m.


5.What is the horizontal distance the hammer will travel?

A.

B.

C.

D.

6.What is the period of rotation of the hammer?

A.0.31 s

B.0.75 s

C.1.3 s

D.3.2 s

7.A crate is placed near the top of a frictionless 30° incline and released. When it reaches the edge, its speed is 14.0 m/s, as shown in the diagram below:

What is the speed of the crate 2.0 s after leaving the slope?

A.17.5 m/s

B.29.2 m/s

C.32.5 m/s

D.33.6 m/s

NR1Sam drives his car north at a constant speed along a straight, flat section of highway. He enters an 86.0 m radius curve and exits 4.5 s later heading straight west. What is the speed of Sam’s car? (Round your answer to the nearest m/s.)

(Record your answer in the numeric response section on the answer sheet.)

8.Which of the following situations is an example of uniform motion?

A.a football bouncing on the ground

B.a pendulum swinging back and forth

C.a car stopping and starting in heavy traffic

D.a train moving in a straight line at a constant speed

NR2A ball rolling at 4.0 m/s starts accelerating uniformly down a 6.0 m long slope. What is the acceleration of the ball if its speed at the end of the slope is 8.0 m/s? (Round your answer to the nearest .)

(Record your answer in the numeric response section on the answer sheet.)

9.A vehicle odometer reads 199987 km at the start of a trip and 200173 km at the end. The vehicle started travelling at exactly 11:00 a.m., and finished the trip at exactly 5:00 p.m. on the same day.

What was the vehicle’s average speed?

A.11.6 km/h

B.31.0 km/h

C.37.2 km/h

D.39.2 km/h

10.A cart on a ship is being pushed at 0.5 m/s [S] while the ship is moving at 1.7 m/s [N] relative to the water. What is the velocity of the cart relative to the water?

A.1.2 m/s [N]

B.1.2 m/s [S]

C.2.2 m/s [N]

D.2.2 m/s [S]

11.A mass is launched with an initial velocity of 20.0 m/s at an angle of 30.0°above horizontal. What is the maximum height reached by the mass?

A.5.10 m

B.10.0 m

C.15.3 m

D.20.4 m

12.A ball at rest is released from a 50.0 m high cliff and allowed to free fall to the ground. A second identical ball is thrown downward 1.00 s after the first ball is released. If both balls hit the ground at the same time, what was the initial velocity of the second ball?

A.3.19 m/s [down]

B.12.1 m/s [down]

C.17.9 m/s [down]

D.21.2 m/s [down]

13.A 12.0 m diameter Ferris wheel completes 20 revolutions in 5.0 minutes. What is the uniform circular speed of a cart on the circumference of the Ferris wheel?

A.2.5 m/s

B.6.3 m/s

C.7.5 m/s

D.9.4 m/s

14.An object in uniform circular motion has an acceleration of 2.0 anda period of 2.0 s. If the acceleration increases to 8.0 , what will itsnew period be?

A.0.5 s

B.1.0 s

C.1.4 s

D.8.0 s

4.PH30-FM2 Analyze the effects of forces on objects undergoing uniform motion, uniformly accelerated motion and circular motion.

1.A balloon is filled with helium and released. The various forces acting on the balloon are shown in the diagram below:


Which direction will the balloon move?

A.up and right

B.up and left

C.down and right

D.down and left

2.A toy wagon is being pulled by a constant horizontal force for 5.0 s. If the wagon experiences a frictional force of 15 N as it moves, what is the magnitude of the acceleration of the wagon?

A.0

B.1.5

C.2.5

D.5.5

3.Three objects are dropped simultaneously from the top of a tall building: a shot put, a ping-pong ball, and a basketball. In what order will the objects reach the ground from first to last?

A.shot put, ping-pong ball, basketball

B.shot put, basketball, ping-pong ball

C.basketball, shot put, ping-pong ball

D.basketball, ping-pong ball, shot put

4. Two forces and are acting on a point as shown in the diagram below.

What is the resultant force?

A. 4.0 N [N 36.9° W]

B. 8.0 N [N]

C. 11.7 N [N]

D. 14.4 N [N 56.3° E]

5.PH30-CO1 Investigate the nature of mechanical energy and efficiency in mechanical systems, including the law of conservation of energy.

1.According to the definition of work, when is work always done on an object?

A.when an object changes position

B.when the kinetic energy of an object is constant

C.when there is no change in the potential energy of an object

D.when an object moves in the direction of an applied force

2.A stationary 0.325 kg steel ball begins rolling down a frictionless track from a height h as shown in the diagram. It completes a loop-the-loop of radius 1.20 m with a speed of 6.00 m/s at the top of the loop.


What is the gravitational potential energy of the ball at the top of the loop?

A.0.98 J

B.3.82 J

C.5.85 J

D.7.65 J

3.A 28 kg girl runs down a hallway at 1.4 m/s and runs into her stationary 17 kg friend. If we assume this is an inelastic collision that results in the two people moving together after the collision and not leaving the floor, how fast will the pair be moving immediately after the collision?

A.0.83 m/s

B.0.87 m/s

C.1.7 m/s

D.2.3 m/s

4.A 350 kg roller coaster reaches the bottom of a downhill at 21.0 m/s and continues up the next incline. Assuming no energy is lost to its surroundings and the roller coaster is travelling at 1.40 m/s at the top, what is the height of the incline relative to the bottom?

A.10.7 m

B.14.9 m

C.21.0 m

D.22.4 m

5.A ball is travelling with a momentum of 3.54 kg m/s. If both the mass and the speed of the ball are doubled, what would the momentum of the ball become?

A.0.885 kg · m/s

B.3.54 kg · m/s

C.7.08 kg · m/s

D.14.2 kg · m/s

Use the following information to answer following three questions.

A girl and her mountain bike have a total mass of 65.2 kg and 559 J of potential energy while riding on an elevated, horizontal loading dock. Starting with an initial velocity of 3.14 m/s, she rides her bike down a ramp attached to the dock and reaches the ground below.

6.What is the change in height from the top of the ramp to the ground?

A.0.874 m

B.2.73 m

C.3.14 m

D.8.57 m

7.What is the total mechanical energy at the point where the ramp meets the ground?

A.

B.

C.

D.

8.Upon impact with the ground, the bike’s front suspension compresses a distance of 0.315 m from an average force of 223 N. What is the work done to compress the front suspension?

A.20.5 J

B.70.2 J

C.201 J

D.708 J

9.During a game of billiards, a 0.260 kg white ball moves in a straight path with a speed of 0.618 m/s and makes an elastic collision with a 0.150 kg colored ball. Assuming the white ball stops upon contact, what is the speed of the colored ball after the collision?

A.0.814 m/s

B.0.662 m/s

C.0.618 m/s

D.0.309 m/s

6.PH30-CO2 Analyze the motion of objects and interactions between objects using momentum concepts, including the law of conservation of momentum.

NR1Nolan Ryan, a Hall of Fame baseball pitcher, is known to have thrown a 0.145 kg baseball at a speed of 107 miles/h (47.8 m/s). What is the momentum of the baseball at this speed? (Round your answer to the nearest kg· m/s)

(Record your answer in the numeric response section on the answer sheet.)

1.A 68.5 kg man and a 41.0 kg woman are standing at rest before performing a figure skating routine. At the start of the routine, the two skaters push off against each other, giving the woman a velocity of 3.25m/s [N]. Assuming there is no friction between the skate blades and the ice, what is the man’s velocity due to their push?

A.1.67 m/s [S]

B.1.95 m/s [S]

C.1.95 m/s [N]

D.3.25 m/s [S]

2.A 0.170 kg hockey puck takes 0.950 s to travel from the shooter to the net at 46.0 m/s. What is the momentum of the puck?

A.5.59 kg · m/s

B.7.43 kg · m/s

C.7.82 kg · m/s

D.8.23 kg · m/s

3.A 1.0 g insect flying at 2.0 km/h collides head-on with an 800 kg compact car travelling at 90 km/h. Which object experiences the greater change in momentum during the collision?

A.Neither object experiences a change in momentum.

B.The insect experiences the greater change in momentum.

C.The compact car experiences the greater change in momentum.

D.Both objects experience the same, non-zero change in momentum.

NR2A 30 kg object travelling at +5.0 m/s collides head-on with an identical object travelling at –2.0 m/s. After the collision, one object is now at rest.


What is the speed of the other object after the collision in m/s?

(Record your answer in the numeric response section on the answer sheet.)

7.PH30-FI1 Investigate gravitational fields and their interactions with matter.

1.The planet Venus has a mass of and a mean diameter of 12 104 km. What is the gravitational field strength on the surface of Venus?

A.2.2 N/kg

B.5.4 N/kg

C.8.9 N/kg

D.9.8 N/kg

2.Apollo 11 was the spaceflight that landed the first humans on the moon in July 1969. The astronauts on that mission collected 21.5 kg of lunar material from the surface of the moon and brought it back to Earth for research purposes. Which of the following statements about the lunarmaterial is true?

A.It had a mass of 21.5 kg on Earth.

B.It was weightless on the surface of the moon.

C.It had no mass while being flown back to Earth.

D.It had the same weight on Earth as on the moon.

3.Which of the following statements about an apple in a state of free fall is true?

A.An apple orbiting the Earth is accelerating in the direction of its forward motion.

B.An apple thrown sideways accelerates downward faster than an apple that is dropped straight down.

C.An apple aboard the international space station orbiting the Earth is accelerating towards the Earth’s surface.

D.An apple that is dropped from a stationary point near Earth’s surface will accelerate at a rate of 9.08

4.A satellite assembled on Earth is put into a stable orbit. The satellite’s distance from the center of the Earth is twice as far as the original distance. How does the satellite’s weight in orbit compare to its original weight on the Earth’s surface?

A.double

B.one half

C.quadruple

D.one quarter

NR1A 6.0 kg cat is sitting 1.5 m away from a dog. If the force of gravity between the two animals is what is the mass of the dog? (Round your answer to the nearest kg.)

(Record your answer in the numeric response section on the answer sheet.)

5.The gravitational field strength of Mars is about that of Earth. If

your mass is 75.0 kg, what is the difference in your weight on the two

planets?

A.0 N

B.294 N

C.442 N

D.735 N

6.When standing on an unknown planet with gravitational field strength of 3 G, how would your mass compare to that on Earth?

A.the same on both planets

B.three times larger on Earth

C.nine times larger on the unknown planet

D.three times larger on the unknown planet

8.PH30-FI2 Investigate electric and magnetic fields and their interactions with matter.

1.Sphere X, with a charge of, is located 0.0300 m to the left of sphere Y, with a charge of , as illustrated below:


What is the magnitude of the net electric field at a point P located midway between thecenter of the two spheres?

A.

B.

C.

D.

2.Three point charges are arranged in a right triangle as illustrated below:


Point charge X has a charge of and is located 0.0200m[E] of point charge Y that has a charge of . Point charge Z has a charge of and is located 0.0300m[S] of point chargeY.

What is the net electrostatic force on point charge Y?

A.1.59 N [E 31° N]

B.45.2 N [E 22° N]

C.73.5 N [E 22° N]

D.73.5 N [E 68° N]

3.A charge is placed 0.45 m away from a charge. What is the magnitude of the electrostatic force between them?

A.

B.

C.0.37 N

D.0.83 N

4.Three point charges are arranged in a right triangle as shown below:


What is the net force acting on ?

A.[S 70° E]

B. [E 20° S]

C. [S 70° E]

D. [E 20° S]

B.Released Questions (2016) – Physics 8257 Solution Pages

1.PH30-MP1 Analyze the importance of relativistic principles and quantum mechanics in our world.

1.D.

The photon cannot be split into two pieces so will pass through only one of the slits with there being no preference as to which one.

2.PH30-MP2 Assess the effects of radioactivity and nuclear technology on society and the environment.

NR1.20 g

t (hours) / Mass (g)
0 / 320
5.5 / 160
11.0 / 80
16.5 / 40
22.0 / 20

1.B.

The largest particle will have the most difficulty penetrating a substance. Alpha particles are the largest particle listed and would have the weakest penetrating power.

2.B.

Neutrons striking the nucleus of an atom cause a fission reaction to occur.

3.C.

An alpha particle is the nucleus of a helium atom which has an atomic number of 2. The atom’s atomic number will experience a decrease of 2.

NR2.2300 g

4.C.

This is an example of beta decay - a radioactive element decays to a lighter element and releases a beta particle .

3.PH30-FM1 Analyze motion in one- and two-dimensions, including uniform motion, uniformly accelerated motion, circular motion, and projectile motion.

1.D.

  1. D.

3.B.

4.A.

Initial motion means gravity has not caused the stone to begin to move vertically downward. Vertical component = 0.0 m/s [down]

5.C.

6.B.

7.B.

NR1.30

8.D.

Travelling at a constant speed in a straight line (constant velocity) is uniform motion.

NR2.4

9.B.

10.A.

11.A.

12.B.

13.A.

14.B

4.PH30-FM2 Analyze the effects of forces on objects undergoing uniform motion, uniformly accelerated motion and circular motion.

1. C.

Down force is larger than up force. Right force is larger than left force.

2.C.

3.B.

Higher density objects will fall faster. Shotput, basketball, ping-pong ball

4.B.

5.PH30-CO1 Investigate the nature of mechanical energy and efficiency in mechanical systems, including the law of conservation of energy.

1.D.

By definition, work is done when an object is moving in the direction of an applied force.

2.D.

3.B.

4.D.

5.D.

6.A.

7.D.

8.B.

9.A.

In an elastic collision, kinetic energy is conserved.

6.PH30-CO2 Analyze the motion of objects and interactions between objects using momentum concepts, including the law of conservation of momentum.

NR1.7

1.B.

Momentum is conserved.

2.C.

3.D.

Momentum is conserved so they will experience the same change.

NR2.3

7.PH30-FI1 Investigate gravitational fields and their interactions with matter.

1.C.

2.A.

Mass does not change regardless of location.

3.C.

An object orbiting the Earth is in a constant state of free fall towards the Earth.

4.D.

The inverse square law applies. 1/22 = ¼

NR1.25

5.C.

6.A.

Mass is independent of gravitational field strength.

8.PH30-FI2 Investigate electric and magnetic fields and their interactions with matter.

1.C.

2.C.