2. A vector’s x-component is equal to twice its y-component. Both components are positive. What is the angle between the vector and the positive x-axis?

(A) 26.6^o (B) 30.0^o (C) 45.0^o (D) 60.0^o (E) 63.4^o.

3. An object starts from rest and moves along one straight line. Its acceleration is a = 6t + 2, where acceleration is measured in m/s² and time is measured in s. How far does the object move from t = 0 until t = 5.00 s? (A) 32.0 m (B) 85.0 m (C) 150 m (D) There is not enough information given in order to find the distance.

4. When a spring is stretched a certain distance from equilibrium, 100 J of energy is stored in it. If an identical spring were stretched twice the distance from equilibrium, then how much energy would be stored in it? (A) 50.0 J (B) 100 J (C) 200 J (D) 300 J (E) 400 J.

5. A world traveler is standing on the surface of the Earth. Where should she stand so that her centripetal acceleration is the largest possible? (Treat the Earth as a perfect sphere.) (A) the North Pole (B) the South Pole (C) the Equator (D) There is not enough information to answer the question.

6. A projectile is launched up and to the right on flat, level ground. At what angle above the horizontal should it be launched so that its range is the largest possible? (A) 30.0 degrees (B) 45.0 degrees (C) 90.0 degrees.

7. Object one is moving to the north at 5.00 m/sec with respect to the ground. Object two is moving east at 12.0 m/sec with respect to the ground. What is the relative speed between the two objects? (A) - 7.00 m/sec (B) 7.00 m/sec (C) 13.0 m/sec (D) 17.0 m/sec (E) There is not enough information to answer the question.

8. Six forces all have the same magnitude and are applied to an object that is at rest and remains at rest. Force one is up. Force two is to the right. Force three is down. Force four is to the left. Force five is up. In which direction is force six applied? (A) up (B) to the right (C) down (D) to the left (E) There is not enough information to answer the question.

9. Three forces act on an object that is initially moving to the right at 9.80 m/sec. All three forces have the same magnitude. The normal force is up. The force of gravity is down. The force of friction is to the left. How far does the object travel before coming to rest? (A) 9.80 meters (B) 4.90 meters (C) 2.45 meters

(D) There is not enough information to answer the question.

10. (40 pts.) Wimbledon Fortnight

This is a one-dimensional problem. A tennis ball with a mass of 45.0 grams is initially moving to the right at a speed of 32.2 m/s. A tennis player hits the ball with her racket and immediately afterward the ball is moving to the left at a speed of 37.3 m/s. How much work was done on the ball by the force of the racket?

11. (40 pts.) Rocket Power

A rocket with a mass of 2.20 kg is initially at rest on the ground. 10.0 s after being launched the rocket is traveling at a speed of 125 m/s. If the average power output of the engine is 3.45 kW, then how high above the ground is the rocket located 10.0 s after being launched? Ignore air resistance.

12. (40 pts.) Java Junkie

A clumsy professor knocks his coffee mug off the table. It falls straight down and hits the floor. The horizontal velocity of the mug just before it hits the floor is zero. When the mug hits the floor it breaks into four pieces which move horizontally on the floor. The mass of the first piece is m and its velocity is 10.0 m/s to the south. The mass of the second piece is 2m and its velocity is 10.0 m/s to the west. The mass of the third piece is 3m and its velocity is 10.0 m/s to the north. The mass of the fourth piece is 4m. Find the velocity of the fourth piece. Ignore friction and air resistance.

13. (40 pts.) Swimming at the Quarry

Students attending the summer session at the University of Indiana often go to the local quarry, which is partially filled with water, to swim. One such student runs to the right on flat, level ground to the edge of the quarry and jumps up and to the right. His initial velocity in polar form is (v_o, θ), where v_o is his initial speed and θ is the angle between his initial velocity and the horizontal. The vertical distance from the launch point down to the surface of the water is h. What is the range in this case? In other words, how far does he travel horizontally from the launch point to the point where he hits the water? Express your answer in terms of v_o, θ, h and/or g, where g is the magnitude of the acceleration due to gravity. Ignore air resistance.