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 106; the average score was 74.4; the median score was 76. The exam period was 90 minutes. 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.

Hydraulic lifts illustrated below all use the same hydraulic oil. They all have the same input-piston cross section and the same output-plunger cross section. The plunger and the car are also identical.

Choose the correct statement about the forces required to keep the car stationary.

(a) F_{A} > F_{B} > F_{C} (b) F_{A} = F_{B} > F_{C} (c) F_{B} > F_{A} > F_{C} (d) F_{A} > F_{C} > F_{B} (e) F_{A} > F_{B} = F_{C}

(a) (b) (c)

There is a vertical U-shaped tube containing two distinct liquids that do not mix, as illustrated below. Their densities are ρ_{1} and ρ_{2}, respectively, and the column lengths are indicated in the figure. The ends of the tube are open to the external atmosphere.

What is the relationship between ρ_{2} and ρ_{1}?

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

(a) ρ_{2} / ρ_{1} = h / H (b) ρ_{2} / ρ_{1} = h / (H + h) (c) ρ_{2} / ρ_{1} = (H - h) / (H + h) (d) ρ_{2} / ρ_{1} = H / (H + h) (e) ρ_{2} / ρ_{1} = H / h

What is the volume of the ball?

(a) V = ΔM / (ρ_{b} - ρ_{l}) (b) V = ΔM / ρ_{b} (c) V = ΔM / ρ_{l}

(a) v_{2}^{2} = gh / 4 (b) v_{2}^{2} = gh / 2 (c) v_{2}^{2} = 2gh / 3 (d) v_{2}^{2} = gh (e) v_{2}^{2} = 3gh / 2

v(t) = 3.5 cos(2.2t) m/s

(a) a_{max} = 6.3 m/s^{2} (b) a_{max} = 7.7 m/s^{2} (c) a_{max} = 9.8 m/s^{2} (d) a_{max} = 11.3 m/s^{2} (e) a_{max} = 16.9 m/s^{2}

(a) V^{2} = 2A^{2} / F (b) V^{2} = AF / 2M (c) V^{2} = AF / M

(a) 0.5 P (b) 0.7 P (c) P (d) 1.4 P (e) 2 P

(a) water vapor (b) nitrogen (c) Not enough information is given.

(a) 4.0 g (b) 12 g (c) 26 g (d) 41 g (e) 83 g

(a) It increases by a factor of 2. (b) It decreases by a factor of 2. (c) It stays the same.

(a) 185 K (b) 190 K (c) 205 K (d) 220 K (e) 230 K

(a) 231 K (b) 236 K (c) 241 K

(a) higher (b) lower (c) Not enough information is given.

A low C (sub-contra C, or C0) has a frequency of 16.35 Hz. If you wanted to produce this note with the fundamental of an organ pipe that was open at both ends, how long would you have to make the pipe? Assume the speed of sound is 340 m/s.

(a) 3 m (b) 5.4 m (c) 6.6 m (d) 9.2 m (e) 10.4 m

(a) longer (b) shorter

(a) 2.8 N (b) 4.9 N (c) 9.6 N (d) 17.6 N (e) 33.1 N

(a) 2D (b) 3.2D (c) 10D

A heavy ball with a hole drilled straight through it is dropped from a platform 20 m above the ground. You are standing almost (but not quite!) under the ball. The hole acts as a whistle and produces a note at 1700 Hz if you were to blow over the hole when the ball was at rest. As the ball falls toward you, the frequency you hear is

(a) < 1700 Hz and decreasing. (b) < 1700 Hz and constant. (c) 1700 Hz. (d) > 1700 Hz and constant. (e) > 1700 Hz and increasing

(a) 1900 Hz (b) 1800 Hz (c) 1700 Hz (d) 1600 Hz (e) 1500 Hz

0.01 cos(200t-30x)

(a) 15 cm (b) 21 cm (c) 31 cm

(T) True (F) False

(a) Its frequency is dependent on the mass M. (b) Its frequency is dependent on what the spring is made of. (c) The amplitude of motion is dependent on the mass.

Which of the following (a or b or c) is correct for the velocity (v), acceleration (a) and force (F)?