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 113. The exam period was 90 minutes; the average score was 74.1; the median score was 74. Click here to see page1 page2 of the formula sheet that came with the exam.

Unless told otherwise, you should assume that the acceleration of gravity near the surface of the earth is 9.8 m/s^{2} downward and ignore any effects due to air resistance.

Calculate h.

(a) 0.2 m (b) 0.4 m (c) 0.6 m (d) 0.8 m (e) 1.0 m

(a) 3.5 °C (b) 6.6 °C (c) 15.4 °C (d) 24.8 °C (e) 34.5 °C

When a block of iron of mass 39.30 kg is suspended from a spring with spring constant 500 N/m, the length of the spring is 4.7 m.

A tub of water is placed so that the iron is completely submerged in the water. What is the length of the spring now? (The drawing is not to scale.)

Density of iron: ρ_{iron} = 7860 kg/m^{3} Density of water: ρ_{water} = 1000 kg/m^{3}

(a) 3.2 m (b) 3.7 m (c) 4.1 m (d) 4.6 m (e) 4.7 m

(a) V_{submerged} / V_{total} = 0.48 (b) V_{submerged} / V_{total} = 0.58 (c) V_{submerged} / V_{total} = 0.65

A 2 kg pendulum is placed on an elevator next to a 2 kg mass hung vertically by a spring with spring constant 200 N/m. When the elevator is at rest, the spring oscillates twice as fast as the pendulum: 0.5 T_{pendulum} = T_{mass on spring}.

What is the length of the pendulum?

(a) 8.9 cm (b) 15.1 cm (c) 23.2 cm (d) 39.2 cm (e) 42.5 cm

(a) 0.98 m (b) 1.03 m (c) 1.10 m

(a) 2.1 m/s (b) 2.2 m/s (c) 2.7 m/s (d) 3.1 m/s (e) 3.8 m/s

Compare 0.5 T_{pendulum}, half the period of the pendulum, to T_{mass on spring}, the frequency of the mass on the spring when the elevator is accelerating down.

(a) 0.5 T_{pendulum} < T_{mass on spring} (b) 0.5 T_{pendulum} = T_{mass on spring} (c) 0.5 T_{pendulum} > T_{mass on spring}

A block of mass 2.0 kg resting on a horizontal frictionless surface is attached to a spring with spring constant k. A force F is applied to the block in the +x direction compressing the spring. After the spring compresses 0.1 m, at time t = 0, the force is removed and the block on the spring starts to oscillate with angular frequency ω = 11/s.

What is the magnitude of the spring constant k?

(a) 207 N/m (b) 220 N/m (c) 242 N/m

(a) when the spring is at its relaxed length (b) when the spring is at its minimum length (c) when the spring's length is half way between its relaxed length and its minimum length

(a) Δx = 11 cos(11t) (b) Δx = 0.1 sin (11t) (c) Δx = 0.1 cos(0.1t) (d) Δx = 0.1 cos(11t) (e) Δx = 11 sin(11t)

A hydraulic lift is filled with oil (ρ = 600 kg/m^{3}). The cross section area of the large piston in the cylinder on the right is A_{2} = 170 cm^{2}. The area of the small piston in the cylinder on the left is A_{1} = 0.5 cm^{2}.

Force F_{1} = 50 N needs to be applied to the small piston to lift weight W_{2} on the right so the bottom of both pistons is at the same height. What is the magnitude of the weight W_{2}?

(a) W_{2} = 1700 N (b) W_{2} = 17000 N (c) W_{2} = 170000 N

(a) 5.5 cm (b) 7.5 cm (c) 10.2 cm

Water flows through the pipe as shown below. Segment 1 has a cross sectional area A_{1} = 20 cm^{2}. Segment 2 has the same cross section but its center (indicated by the dashed line) is h = 0.11 m lower. Finally, the water flows into a narrower Segment 3 with a cross sectional area A_{3}. The center of pipe in Segments 2 and 3 is at the same height, as indicated by the dashed line. The velocity of water in Segment 1 is v_{1} = 0.3 m/s, and in Segment 3 it is v_{3} = 3 m/s. The density of water is 1000 kg/m^{3}. Note: the drawing not to scale.

What is the cross section A_{3} of the narrow pipe?

(a) A_{3} = 2.00 cm^{2} (b) A_{3} = 2.75 cm^{2} (c) A_{3} = 3.00 cm^{2}

Which statement is correct about pressure P_{1} and P_{2}?

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

(a) | ΔP_{12} | = 0 (b) | ΔP_{12} | = 245 Pa (c) | ΔP_{12} | = 490 Pa (d) | ΔP_{12} | = 980 Pa (e) | ΔP_{12} | = 1078 Pa

(a) P_{2 }< P_{3} (b) P_{2 }= P_{3} (c) P_{2 }> P_{3}

(a) | ΔP_{23} | = 0 (b) | ΔP_{23} | = 1230 Pa (c) | ΔP_{23} | = 2450 Pa (d) | ΔP_{23} | = 4455 Pa (e) | ΔP_{23} | = 6980 Pa

One end of a string with length L = 2 m and mass density μ is attached to a weight with mass 4.3 kg. The other end of the string is fixed to a transducer that vibrates at a frequency of 212 Hz. A standing wave results, with the wavelength as shown in the snapshot below.

What is the mass density μ of the string?

(a) 2.27 g/m (b) 3.75 g/m (c) 5.56 g/m (d) 8.27 g/m (e) 12.1 g/m

(a) It would quadruple. (b) It would double. (c) It would not change. (d) It would decrease by a factor of two. (e) It would decrease by a factor of four.

You are standing between two speakers. The speaker on the left is emitting a tone with frequency 306 Hz. The speaker on the right is emitting a tone with frequency 295 Hz. Irritated by the beats, you try to eliminate them by Doppler shifting the frequencies so you hear them as the same. The speed of sound is 343 m/s.

In which direction would you have to run to eliminate the beats?

(a) left, towards the speaker with 306 Hz (b) right, towards the speaker with 295 Hz

(a) 6.3 m/s (b) 10.2 m/s (c) 14.8 m/s (d) 19.4 m/s (e) 26.6 m/s

(a) 53.59 Hz (b) 107.2 Hz (c) 214.4 Hz

(a) 2.99990550 cm (b) 2.99995275 cm (c) 3 cm (d) 3.00004725 cm (e) 3.00009450 cm

α_{Cu} = 1.60 × 10^{-7} K^{-1} α_{Al} = 2.25 × 10^{-7} K^{-1}.

(a) 6266 °C (b) 21715 °C (c) 21740 °C (d) 41249 °C (e) 41274 °C