This exam consists of 29 questions; true-false questions are worth 2 points each, three-choice multiple choice questions are worth 3 points each, five-choice multiple choice questions are worth 6 points each. The maximum possible score is 126. When the exam was given, the minimum "A" score was 112; the minimum "B" was 97; the minimum "C" was 82; the minimum "D" was 63. The mean was 99.4; the median was 102. Click here to see the formula sheet that came with the exam.

Two blocks slide towards each other on a frictionless surface. Block 1 has mass 6 kg and slides to the right with speed 15 m/s. Block 2 of unknown mass slides to the left with speed 15 m/s. The blocks collide, stick together and move to the right with velocity v_{f} = 5 m/s.

Compare the magnitude of the net impulse on block 1, I_{1}, with the magnitude of the net impulse on block 2, I_{2}, during the collision.

(a) I_{1} > I_{2} (b) I_{1} = I_{2} (c) I_{1} < I_{2}

(a) M_{2} = 0.67 kg (b) M_{2} = 3.0 kg (c) M_{2} = 6.0 kg (d) M_{2} = 18 kg (e) M_{2} = 54 kg

(a) KE_{1f} = 0 J (b) KE_{1f} = 30 J (c) KE_{1f} = 50 J (d) KE_{1f} = 75 J (e) KE_{1f} = 100 J

(a) I_{2} = 12 Ns (b) I_{2} = 30 Ns (c) I_{2} = 24 Ns (d) I_{2} = 60 Ns (e) I_{2} = 72 Ns

(a) Total momentum and kinetic energy are both conserved. (b) Kinetic energy is conserved but total momentum is not. (c) Total momentum is conserved but kinetic energy is not.

(a) W_{1} < W_{2} (b) W_{1} = W_{2} (c) W_{1} > W_{2}

A block sits at rest on a horizontal surface. It suddenly explodes into two pieces. A piece of mass 5 kg goes to the left and a piece of mass 20 kg goes to the right. The blocks each slide along the surface, then up a ramp. The speed of the 5 kg block is 8 m/s immediately after the explosion.

Compare the magnitude of the velocities of the two pieces just after the explosion.

(a) |v_{5}| < |v_{20}| (b) |v_{5}| = |v_{20}| (c) |v_{5}| > |v_{20}|

(a) |p_{5}| < |p_{20}| (b) |p_{5}| = |p_{20}| (c) |p_{5}| > |p_{20}|

(a) v_{20} = 0.50 m/s (b) v_{20} = 2.00 m/s (c) v_{20} = 3.00 m/s (d) v_{20} = 4.00 m/s (e) v_{20} = 8.00 m/s

(a) h = 5.20 m (b) h = 3.26 m (c) h = 1.20 m (d) h = 0.82 m (e) h = 0.38 m

A car is moving with speed V_{car} = 30 m/s down a straight road. The tires roll without slipping on the ground, and are spinning with angular velocity w = 100 rad/s.

With respect to the ground, what is the speed V_{top} of a point on the very top of the tire (see picture)?

(a) V_{top} = 0 (b) V_{top} = V_{car} (c) V_{top} = 2 V_{car}

(a) R = 0.13 m (b) R = 0.24 m (c) R = 0.30 m (d) R = 0.41 m (e) R = 0.52 m

(a) |a_{ave}| = V_{car} / (R Dt) (b) |a_{ave}| = R V_{car} / Dt (c) |a_{ave}| = V_{car} Dt / R

(a) n = 8.2 revolutions (b) n = 14 revolutions (c) n = 27 revolutions (d) n = 43 revolutions (e) n = 53 revolutions

A piece of modern art is made by hanging a box of doughnuts from one end of a 2m long uniform wooden rod. The rod itself hangs by a wire attached to the ceiling (see the picture below). The mass of the box of doughnuts is 1 kg, the mass if the rod is 2 kg, and the whole object is in static equilibrium.

What is the tension T in the wire supporting the rod?

(a) T = 9.8 N (b) T = 19.6 N (c) T = 29.4 N (d) T = 35.7 N (e) T = 58.8 N

(a) d = 0.75 m (b) d = 0.67 m (c) d = 0.49 m (d) d = 0.33 m (e) d = 0.25 m

(a) increase. (b) decrease. (c) remain the same.

One end of a board is attached to a wall by a hinge, and the other end is kept from rotating downward by a wire, also attached to the wall (see picture). In case 1 the wire is attached to the end of the board, and in case 2 it is attached to the center of the board. In both cases the horizontal board has the same (non-zero) mass and length, and the wire makes the same angle with the board.

Compare the tension T of the wires in the two systems.

(a) T_{1} < T_{2} (b) T_{1} = T_{2} (c) T_{1} > T_{2}

(a) t_{1} < t_{2} (b) t_{1} = t_{2} (c) t_{1} > t_{2}

This picture shows two different ways of using a wrench to loosen a stuck nut. The magnitude of the applied force F is the same in each case. The torque produced on the nut in the two cases is t_{1} and t_{2} respectively. Which of the following statements about the magnitudes of these torques is correct?

A skier with a mass of 50 kg starts from the top of a hill at height h above ground. The skier glides down the hill to point A where her velocity is v_{A} = 20 m/s and continues up a second hill 8 meters high and back down the other side. Her entire trip up to point C is frictionless. At point C she begins stopping and comes to a complete stop 48 meters later at point D.

What is the height h of the hill?

(a) h = 11.1 m (b) h = 16.2 m (c) h = 20.4 m (d) h = 28.5 m (e) h = 33.1 m

(a) v_{B} = 9.64 m/s (b) v_{B} = 11.2 m/s (c) v_{B} = 12.5 m/s (d) v_{B} = 15.6 m/s (e) v_{B} = 23.6 m/s

(a) F_{CD} = 81.6 N (b) F_{CD} = 208 N (c) F_{CD} = 282 N (d) F_{CD} = 328 N (e) F_{CD} = 490 N

(a) v < 20 m/s (b) v = 20 m/s (c) v > 20 m/s

(a) s < 48 m (b) s = 48 m (c) s > 48 m

You are on the crew of the space shuttle performing extra-vehicular activity. You are slowly drifting away from the shuttle at a constant speed of 5 m/s. You decide that you are getting dangerously far from the shuttle and want to reverse your direction. You decide to throw the 10 kg tool kit you are carrying.

In what direction should you throw the tool kit in order to achieve your desire to move toward the shuttle.

(a) Toward the shuttle (b) Away from the shuttle (c) It makes no difference

(a) 20 m/s (b) 35 m/s (c) 50 m/s (d) 64 m/s (e) 75 m/s

Two identical blocks are a distance h = 0.4 meters above the ground. Block 1 is dropped straight down, block 2 slides down a frictionless ramp of length L = 1 meter.

Compare the velocity of block 1 just before it reaches the ground v_{1}, with the velocity of block 2 just before it reaches the ground v_{2}.

(a) v_{1} > v_{2} (b) v_{1} = v_{2} (c) v_{1} < v_{2}

(a) t_{1} > t_{2} (b) t_{1} = t_{2} (c) t_{1} < t_{2}