1. Which of the following represents the vector sum of vector Q and vector R? 2 страница

(A) longer flight time and a greater maximum height.

(B) longer flight time and a lower maximum height.

(D) shorter flight time and a lower maximum height.

(E) shorter then longer flight time and a lower maximum height.

6. A 60 kg woman pushes a 20 kg block horizontally with a force of 20 N. If both the woman and the block are on a frictionless surface:

(A) only the block will accelerate because the woman has more inertia.

(B) the acceleration of the block will be greater than the acceleration of the woman and the force on the block will be greater than the force on the woman.

(C) the acceleration of the block will be greater than the acceleration of the woman and the force on the block will be the same as the force on the woman.

(D) the acceleration of the block will be equal to the acceleration of the woman and the force on the block will be the same as the force on the woman.

(E) None of these

7. An object with mass m is placed on a frictionless plane inclined from the horizontal at an angle . Which of the following represents the net force on the object?

(A)

(B)

(D)

(E)

8. A 2 kg block rests on a flat board. One end of the board is slowly lifted until the block begins to slide. If the block begins to slide when the board is at an angle of 30° with the horizontal, what is the coefficient of static friction between the block and the board?

(A) 0.1

(B) 0.6

(D) 2

(E) 3

9. A 100 kg man dangles a 50 kg mass from the end of a rope. If he stands on a frictionless surface and hangs the mass over a cliff with a pulley as shown in the figure below, as the mass becomes infinitely large, the man’s acceleration becomes:

(A) 5 m/s²

(B) 10 m/s²

(D) infinite

(E) 50 m/s²

10. The plane below is inclined at a 30° angle. The coefficient of static friction between the mass and the plane is 0.2. The mass is 100 kg. What is the minimum force F necessary to prevent the mass from sliding down the plane?

(A) 0 N

(B) 327 N

(D) 673 N

(E) 729 N

11. A one meter board with a mass of 3 kg sits on the point of a block. Blocks are hung from the board as shown. If the board is to be balanced level to the ground, what must be the mass of the block hanging from the right side?

(A) 1 kg

(B) 2 kg

(D) 4 kg

(E) 5 kg

12. is 60°, and F is 50 N. If the block is moved from rest along the surface for 20 m, and the surface is frictionless, what is the kinetic energy of the block?

(A) 250 J

(B) 500 J

(D) 50,000 J

(E) 100,000 J

13. The block is lowered by a rope as shown. The tension T in the rope is 35 N. If the block begins at rest and is lowered 10 m, what is the approximate change in velocity of the block?

(A) 5 m/s

(B) 7 m/s

(D) 12 m/s

(E) 20 m/s

14. If the two masses make an elastic collision, which of the following will not be conserved?

Two masses in space move toward each other and collide. Assume no rotational motion occurs before or after the collision.

(A) momentum

(B) kinetic energy

(D) velocity of the 5 kg mass

(E) mass of 5 kg

15. Which of the following would require the greatest average force?

(A) stopping a 5 kg ball moving at 9 m/s in one second

(B) stopping a 7 kg ball moving at 7 m/s in one second

(D) stopping a 12 kg ball moving at 4 m/s in one second

(E) stopping a 10 kg ball moving at 4 m/s in one second

16. If mass m is 12 kg, what is the minimum force F required to lift the mass with lever?

The lever is one meter long and massless. The triangle represents the fulcrum. The circle represents the point 25 cm from the right end of the lever stick.

(A) 30 N

(B) 40 N

(D) 480 N

(E) 640 N

17. If 12 g of substance X remain from an original sample of 384 g, and substance X has a half-life of 10 hours, how much time has passed?

(A) 20 hours

(B) 50 hours

(D) 320 hours

(E) 360 hours

18. Which of the following phases is capable of permanently withstanding a force that is not perpendicular to its surface?

I. solid

II. liquid

III. gas

(A) I only

(B) II only

(D) I, II, and III

(E) II and III only

19. Which of the following could be the absolute pressure inside the chest cavity of a person who is inhaling?

(A) -0.2 atm

(B) 0.9 atm

(D) 1.1 atm

(E) 10 atm

20. All of the following are characteristics of an ideal fluid except:

(A) volume flow rate remains constant.

(B) molecules of an ideal fluid have no volume.

(D) an ideal fluid is incompressible.

(E) molecules of an ideal fluid have a volume.

21. 2 one liter containers are filled with the same viscous fluid via different size funnels. The cross-sectional area of the stem on the first funnel is twice as large as the cross-sectional area of the stem on the second funnel. If the first container is filled in 24 seconds, which of the following could be the time required to fill the second container?

(A) 24 s

(B) 42 s

(D) 54 s

(E) 64 s

22. If the substance has a specific gravity of 1 and can withstand a maximum stress of 10⁵ N/m², what is the maximum length of the cylinder before it breaks due to its own weight?

A uniform cylinder of an unknown solid is glued to the ceiling as shown with a very strong glue.

(A) 1 cm

(B) 10 cm

(D) 10 m

(E) 0

23. Sound waves move faster through water than through air. Which of the following is most likely the greatest contributing factor?

(A) Water has a greater density than air.

(B) Water is less compressible than air.

(D) Sound waves have more energy in water.

(E) None of these.

24. A car travels at night at 10 m/s past a row of identical trees. Each tree is 1 m thick and 1 m from the nearest neighboring tree. A child watching the trees go by flickers a flash light on and off at a rate of 5 times per second. If the child can only see the trees when the flash light is on, how fast will the trees appear to the child to pass by?

(A) The trees will appear to be standing still.

(B) 1 tree each second

(D) 20 trees each second

(E) 25 tree each second

25. A mass bouncing on the end of a spring has a period of motion T. If the spring is cut in half, and the mass is set in motion once again, what will be the approximate period of motion?

(A) 0.7 T

(B) 1.4 T

(D) 4 T

(E) 6 T

26. In 1845, Buys Ballot tested the Doppler Effect as follows. Trumpet players on a flatcar were moved toward stationary trumpet players via a locomotive. All trumpet players played an A note. Ballot stood between the stationary players and the moving train. What did Ballot expect to hear that would demonstrate the Doppler Effect?

(A) A combined pitch lower than an A note.

(B) A beat frequency.

(D) A steadily increasing pitch as the train moved closer

(E) None of these.

27. If q₁ and q₂ have opposite charges, then when q₂ is moved from its present location to a distance r from q₁ the force on q₂ due to q₁

E is the electric field created by q₁. V is the voltage at a given point in the field E. Assume that the electric field created by q₂ is negligible compared to E. k is Coulomb’s Law constant. m₁ is the mass of q ₁, and m₂ is the mass of q₂

(A) decreases by a factor of 4.

(B) remains the same.

(D) increases by a factor of 4.

(E) decreases by a factor of 2.

28. Which of the following is true of current?

(A) Current can only be created by movement of electrons.

(B) Current moves through a resistor from low voltage to high voltage.

(D) Current is increased by resistance.

(E) None of these.

29. What is the energy stored in the capacitor?

(A) 1J

(B) 2J

(D) 8J

(E) 10J

30. Which of the following is true concerning an electric field created by a magnetic field?

(A) A nonconservative electric field is created by a changing magnetic field.

(B) A conservative electric field is created by a changing magnetic field.

(D) A conservative electric field is created by a constant magnetic field.

(E) None of these.

TEST 04

1. If vector R represents the net force F in newtons required to accelerate a 2 kg mass 2 m/s², which of the following vectors represents the force required to accelerate the same 2 kg mass at 1 m/s² in the same direction? (Note: F = ma)

(A)

(B)

(C)

(D)

(E)

2. A particle accelerates at 10 m/s² for 2 seconds. If its final velocity is 5 m/s, what was its initial velocity?

(A) -25 m/s

(B) -15 m/s

(D) 50 m/s

(E) 75 m/s

3. If the graphs shown are displacement versus time graphs, which of the graphs could represent a particle with zero acceleration?

(A) W only

(B) Y only

(D) X and Z only

(E) X, Y and Z only

4. Which two angles will result in the same range R?

(A) 30° and 45°

(B) 30° and 60°

(D) 45° and 90°

(E) 15° and 90°

5. One man drops a rock from a 100 m building. At exactly the same moment, a second man throws a rock from the bottom of the building to the top of the building. At what height do the rocks meet?

(A) 25 m

(B) 50 m

(D) 80 m

(E) 100 m

6. A 100 kg astronaut in space pushes off from his 10,000 kg spaceship with a force of 100 N. If the acceleration of the spaceship is 0.01 m/s², what is the acceleration of the astronaut?

(A) 0 m/s² because the force is absorbed in accelerating the spaceship.

(B) 100 times greater than the spaceship because he has 100 times less inertia.

(D) The same as the spaceship because their momentums must be equal.

(E) None of these

7. If h is 5 m, m is 2 kg, is 30°, and the mass starts from rest, how long does it take the mass to move the distance d?

The question refers to the frictionless inclined plane shown below, h is the height of the ramp, d is the total length of the ramp, and 0 is the angle the ramp is placed from the horizontal. (Note: the distance x is also frictionless.)

(A) 1 s

(B) 1.4 s

(D) 3 s

(E) 4 s

8. A block rests on a flat board. One end of the board is slowly lifted until the block begins to slide. If the block begins to slide when the board is at an angle with the horizontal, which of the following represents the coefficient of static friction between the block and the board?

(A)

(B)

(C)

(D)

(E)

9. The masses below hang across a massless, frictionless pulley. What is the tension in the rope?

(A) 0.5 mg

(B) mg

(D) 2 mg

(E) 3 mg

10. The plane below is inclined at a 30° angle. The coefficient of kinetic friction between the mass and the plane is 0.1. The mass is 100 kg. What is the minimum tension required in the rope so that the mass will accelerate down the plane at 2 m/s²?

(A) 213 N

(B) 387 N

(D) 787 N

(E) 900 N

11. A 10 m board with a mass of 15 kg rests on a large stationary block as shown. A 75 kg box is positioned so that its center of gravity is one meter from the right end of the board. What distance x could a 60 kg woman walk from the right end of the board before it falls?

(A) 4 m

(B) 5 m

(D) 8 m

(E) 10 m

12. If the block is initially moving at 5 m/s to the right, and force F is applied over a distance d, which of the following would not change the amount of work done on the block?

(A) changing the angle

(B) changing the mass of the block

(D) changing the distance d

(E) none of these.

13. The block is lowered by a rope as shown. The tension T in the rope is 35 N. If the block begins at 5 m/s downward and is lowered 10 m, what is the approximate final velocity of the block?

(A) 5 m/s

(B) 7 m/s

(D) 12 m/s

(E) 20 m/s

14. Which of the following properties of colliding objects will remain constant before, during, and after both an inelastic and an elastic collision?

Two masses in space move toward each other and collide. Assume no rotational motion occurs before or after the collision.

I. velocity

II. momentum

III. kinetic energy

(A) II only

(B) III only

(D) None

(E) I only

15. Which of the following could be accomplished with the least average force?

(A) accelerating a 2 kg ball from 0 m/s to 9 m/s in half a second

(B) accelerating a 6 kg ball from 0 m/s to 6 m/s in one second

(D) accelerating a 10 kg ball from 0 m/s to 7 m/s in two seconds

(E) accelerating a 10 kg ball from 0 m/s to 7 m/s in one seconds

16. If mass m is 12 kg, what is the minimum force F required to lift the mass with lever?

Lever is one meter long and massless. The triangle beneath represents the fulcrum. The circle represents the point 25 cm from the right end of the lever stick.

(A) 30 N

(B) 40 N

(D) 480 N

(E) 640 N

17. Polonium-218 undergoes alpha decay with a half life of 3.1 minutes. Approximately how much lead-214 would be formed from a sample of 109 g of Polonium-218 after 15.5 minutes?

(A) 0 g

(B) 3.3 g

(D) 103.7 g

(E) 110 g

18. The ocean is able to permanently support a battleship because:

(A) the ocean is heavier than the battleship.

(B) the metal of the battleship is less dense than ocean water.

(D) The volume of water displaced by the battleship is equal to the volume of the battleship resting below the surface.

(E) The temperature of water is greater than the temperature of battleship.

19. What depth of water creates 1 atm of pressure?

(A) 1 m

(B) 5 m

(D) 20 m

(E) 50 m

20. In ideal fluid flow, velocity is inversely proportional to:

(A) pressure

(B) the cross-sectional area of the conduit.

(D) viscosity.

(E) density

21. According to the chart, where is blood velocity the lowest?

The chart shows the summation of the cross-sectional areas of the different blood vessels of the body starting near the heart, working through the systemic circulatory system and back to the heart.

(A) Aorta

(B) Capillaries

(D) Venae cavae

(E) None of these

22. If the cylinder breaks due to the stress as applied in the diagram, at which point is it most likely to do so?

A uniform cylinder of an unknown solid is glued to the ceiling as shown with a very strong glue.

(A) A

(B) B

(D) It is equally likely to break at all points.

(E) None of these.

23. As sound waves move through air, the pressure at any given point changes. The period of a sound wave is:

(A) the time between each pressure increase.

(B) the time between every two pressure increases.

(D) not related to the pressure changes.

(E) None of these.

24. Two notes are played together. The resulting sound waves are summed and displayed by an oscilloscope.

Which oscilloscope screen shows two notes with the closest frequencies?

(A)

(B)

(C)

(D)

(E) All frequencies are same.

25. Which of the following is equal to the frequency of the wave on the string?

A mass m is suspended by a spring with a spring constant k. The rest length of the spring is x₀, and it oscillates a distance above and below its rest position. A very long string with a mass per unit length . and constant tension T is attached to the mass as shown. The moving mass creates a wave on the string with a wavelength , a frequency f, an amplitude A, and a velocity v.

(A)

(B)

(C)

(D)

(E)

26. A sound source and an observer are both in motion. Which of the following will result in the greatest increase in observed frequency?

(A) The source and the observer are both moving away from each other.

(B) The source and the observer are both moving toward each other.

(D) The source is moving away from the observer, but the observer is moving toward the source.

(E) None of these.

27. If q₁ is positive, then when q₂ is moved from its present location to a distance r from q₁, the magnitude of the voltage experienced by q₂ due to E:

(A) decreases by a factor of 4.

(B) remains the same.

(D) increases by a factor of 4.

(E) None of these.

28. Which of the following is true for any circuit?

(A) The rate of flow of electrons is the same at any point in the circuit.

(B) The voltage drop in one complete trip around the circuit from any point is equal to the voltage of the battery.

(D) The voltage between two points in a circuit is independent of the path chosen to measure it.

(E) None of these.

29. If the area of the plates on the capacitor were doubled, the voltage across the capacitor would:

(A) decrease by a factor of 2.

(B) remain the same.

(D) increase by a factor of 4.

(E) decrease by a factor of 4.

30. What is the force on a 1 C charge moving at 1 m/s perpendicular to a magnetic field with a strength of 1 tesla?

(A) 0 N

(B) 1 N

(D) 3 N

(E) 4 N

TEST 05

1. All of the following are component vectors for vector Q and obey the Pythagorean theorem except:

(A)

(B)

(C)

(D)

(E)

2. A particle accelerates for 2 seconds. If its final velocity is 5 m/s, and its initial velocity was 15 m/s, what was its acceleration?

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