SЕT-2011-12. TEST 17

1. Which path would result in the greatest displacement for a particle moving from position 1 to position 2? Path C is a half circle.

(A) path A(B) path B(C) path C(D) All paths would result in the same displacement.(E) All of the four variants

2. A particle initially traveling at 30 m/s slows to a stop in just 3 seconds at a constant acceleration. How far does the particle travel?

(A) 10 m(B) 30 m(C) 45 m(D) 80 m(E) 100 m

3. If the graph below is a velocity (m/s) vs. time (s) graph, what is the distance traveled in the first 6 s?

(A) 0 m(B) 60 m(C) 90 m(D) 180 m(E) 200 m

4. A projectile launched straight up at 10 m/s will reach a maximum height of:

(A) 5 m(B) 10 m(C) 25 m(D) 50 m(E) 75 m

5. Ball A and B are the same size and of uniform density. Ball A is twice as massive as Ball B. Both balls are rolled down the same incline. Which of the following is true?

(A) Ball A will accelerate at a greater rate because it has greater rotational inertia.(B) Ball A will accelerate more slowly because it has greater rotational inertia.(C) Both balls will accelerate down the plane at the same rate.(D) Both balls will roll down the plane at a constant velocity.(E) None of these.

6. Two planets have the same mass but different radii. Which of the following is true?

(A) A person will have a greater weight when standing on the surface of the larger planet.(B) A person will have a greater mass when standing on the surface of the larger planet.(C) A person will have a greater weight when standing on the surface of the smaller planet.(D) A person will have the same weight when standing on the surface of either planet.(E) None of these

7. An object moving at 10 m/s makes a circle with a 2 m radius. The object accelerates at:

(A) 10 m/s2

(B) 20 m/s2

(C) 50 m/s2

(D) 100 m/s2

(E) 150 m/s2

8. A car moving at 20 m/s brakes and slides to a stop. If the coefficient of kinetic friction between the pavement and the tires of the car is 0.1, how much time is needed for the car to come to a complete stop?

(A) 1 s(B) 10 s(C) 20 s(D) 40 s(E) 50 s

9. Which of the following could not be a property of a system in equilibrium?

(A) constant velocity(B) zero net force(C) spinning about an axis(D) acceleration(E) velocity

10. What is the maximum reading on the scale during a trip from the 5th floor to the 11th floor?The mass of the elevator and everything in it is 1000 kg. The man in the elevator has a mass of 90 kg. The box that he holds has a mass of 10 kg. The floors of the building in which the elevator operates are separated by 5 m. The elevator accelerates and decelerates at 1 m/s2, and moves at a maximum velocity of 5 m/s. The scale reads in newtons.

(A) 900 N(B) 1000 N(C) 1090 N(D) 1100 N(E) 1200 N

11. A 4 kg ball is thrown straight into the air at 6 m/s. How high does it travel?

(A) 1.0 m(B) 1.6 m

(C) 1.8 m(D) 2.0 m(E) 2.2 m

12. Molecules within a gas are attracted to one another by electrostatic forces. If the volume of a gas were allowed to increase, and no energy were allowed to enter or leave the gas, as the molecules moved farther apart, the kinetic energy of the molecules would:

(A) increase(B) decrease(C) increase then decrease(D) remain the same(E) decrease then increase

13. A forklift holds a 500 kg box 4 m in the air for 100 s. What is the minimum power required by the forklift?

(A) 0 W(B) 2102 W(C) 2104 W(D) 2106 W(E) 2108 W

14. As the mass of m1 becomes much greater than m2, what is the maximum velocity that can be reached by m1 (Note: Assume a completely elastic collision.)Bob m1 is swung from a height h and allowed to collide with bob m2, which is at rest. The bobs are the same size but may have different masses. The velocity of m1 just before striking m2 is v.

(A) 0 m/s(B) v(C) 2v(D) The maximum velocity is infinite.(E) 4v

15. What is the maximum height to which platform 2 will rise?An engineer with a mass of 100 kg has designed an ideal mechanical advantage machine shown below. Platforms 1 and 2 are attached to the machine. When he steps on platform 1, platform 2 rises straight up. The maximum weight that he can lift using his machine in this manner is twice his own. The mechanical advantage of the machine cannot be adjusted. Platform 1 can be lowered a maximum of 10 m.

(A) 4 m(B) 5 m(C) 10 m(D) 20 m(E) 30 m

16. What minimum force F is required to lift the mass?

(A) 15 N(B) 20 N(C) 30 N(D) 60 N(E) 98 N

17. When 238U undergoes a-particle decay an -particle and 2 rays are produced to form:

(A) 234Ra(B) 234Th(C) 236Th(D) 242Pu(E) 242Po

18. An ice cube sits in a container that is exactly the same size as the cube. Which of the following is true, if the ice is allowed to melt? (Note: Ice has a specific gravity of 0.9.)

(A) The water level will be exactly even with the top of the container and no water will spill over the sides.(B) 10% of the water will spill over the sides of the container(C) The water will occupy only 90% of the container.(D) The water will occupy only 91% of the container.(E) The water will occupy only 95% of the container.

19. Can a battleship float in a swimming pool? (Note: assume that the pool has a shape similar to the hull of the battleship.)

(A) Yes, but only if the weight of the water remaining in the pool is as great as the weight of the battleship.(B) Yes, but only if the pool is capable of holding a mass of water as great as the mass of the battleship when the ship is not in the pool.

(C) No, because the volume of water remaining in the pool must be at least as great as the volume of the battleship.(D) No, because the battleship requires a minimum depth of water beneath it in order to float.(E) None of these.

20. If d is 10.0 m when the container is filled with water, what would be d if the container were filled with mercury? (Note: The specific gravity of mercury is 13.6)An open container of fluid begins draining a spigot at time t = 0. Assume ideal fluid flow.

(A) 1.36 m(B) 10.0 m(C) 13.6 m(D) 136 m(E) 150 m

21. According to the table, which of the following can withstand the greatest amount of stress without breaking?The Ultimate strength represents the maximum stress applied to a specimen without fracture. (Note: Assume that the Young’s Modulus is accurate up to the fracture point.)

(A) A cylinder of glass 1 meter long with a 10 cm radius(B) A human femur 0.5 meter long with a 10 cm radius(C) A cylinder of concrete 10 meters long with a 20 cm radius(D) A cylinder of aluminum 0.5 meter long with a 5 cm radius(E) None of these.

22. If the wave above is moving at 2 m/s to the right, what is its frequency?

(A) 0.25 s-1

(B) 0.5 s-1

(C) 2 s-1

(D) 8 s-1

(E) 10 s-1

23. An increase in which of the following properties of the gas by itself, will decrease the speed of a sound wave through the gas?

(A) pressure(B) density(C) temperature(D) volume(E) All of these.

24. A 30 cm violin string is placed near a loud speaker fed by an audio oscillator. When the oscillator emits sound over a frequency range of 500 Hz to 1500 Hz, the string vibrates only at 880 Hz and 1320 Hz. Which modes are these, respectively?

(A) 1st and 2nd

(B) 2nd and 1st

(C) 2nd and 3rd

(D) 3rd and 2nd

(E) All of these.

25. How far from the vertical will the pendulum swing to the left while the boxcar accelerates down the incline?A pendulum with string length l hangs inside a boxcar that is rolling down an incline at an angle . The pendulum swings to a maximum angle . (Ignore friction. Assume and are small.)

(A)

(B) 90 +(C) + (D) + 2(E) + 3

26. The strength of the electric field created by a point charge:

(A) increases directly with the distance from the charge.(B) is inversely proportional to the distance from the charge.(C) is inversely proportional to the square of the distance from the charge.(D) depends upon the charge that is exposed to the field.(E) none of these.

27. Which of the following is true concerning all objects that follow the path shown when propelled with a velocity v at an angle ?A very large, charged plate floats in deep space. Due to the charge on the plate, a constant electric field E exists everywhere above the plate. An object with mass m and charge q is shot upward from the plate with a velocity v and at an angle . It follows the path shown reaching a height h and a range R. Assume the effects of gravity to be negligible.

(A) They must have the same mass.(B) They must have the same charge.(C) They must have the same mass and the same charge.(D) Their mass to charge ratios must be the same.(E) None of these.

28. What is the current through resistor g when switch A and B have been open for a long time?

(A) 0 A(B) 5 A(C) 9 A(D) 10 A(E) 12 A

29. A power company supplies a home with alternating current (ac current). In ac current, electron is:

(A) move from the power company to the home.(B) move from the home to the power company.(C) move from the home to the power company and back.(D) move back and forth in a very small space.(E) None of these.

30. If d is doubled, the force on wire 1 due to the magnetic field created by i2 will:Two long wires 1 and 2 separated by a distance d conduct current in opposite directions.

(A) decrease by a factor of 4.(B) decrease by a factor of 2.(C) remain the same.(D) increase by a factor of 2.(E) None of these.