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 107; the average score was 87.9; the median score was 91. 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.

A block of mass 6.0 kg resting on a horizontal frictionless surface is attached to a spring with force constant k = 210 N/m. A force of F is applied to the block in the x-direction, thereby compressing the spring from its equilibrium length (see picture) by 0.1m.

What is the magnitude of force F?

(a) 8 N (b) 10 N (c) 17 N (d) 18 N (e) 21 N

(a) 0.01 sec (b) 0.3 sec (c) 1.1 sec (d) 1.4 sec (e) 9.3 sec

(a) It becomes twice as large. (b) It becomes four times as large. (c) It does not change.

(a) 0.5 m/s (b) 0.7 m/s (c) 11 m/s (d) 13 m/s (e) 18 m/s

An archer pulls the bowstring back a distance of 0.2 m before releasing the arrow. Consider that the bow and string act like a spring with a spring constant of 230 N/m. The arrow has a mass of 0.03 kg.

What is the magnitude of the spring potential energy of the drawn bow?

(a) 2.3 J (b) 4.6 J (c) 6.2 J (d) 7.4 J (e) 9.2 J

(a) 8.5 m/s (b) 10.2 m/s (c) 17.5 m/s (d) 19.3 m/s (e) 23.4 m/s

A simple pendulum is constructed of a 0.4-kg mass (the bob) hanging on a massless string. How long is the string if the pendulum oscillates with a period of 2 s?

(a) 26 cm (b) 42 cm (c) 58 cm (d) 73 cm (e) 99 cm

(a) x(t) = 3 sin(ωt) cm (b) x(t) = 3 cos(ωt) cm (c) x(t) = -3 sin(ωt) cm

(a) more than 2 s. (b) less than 2 s. (c) 2 s.

(a) 0.28 × 10^{24} (b) 1.17 × 10^{24} (c) 1.75 × 10^{24}

The wavelength of the fundamental mode of the string in a newly designed stringed instrument is 1.8 m. What is the length of the string? (Note that the string is fixed at both ends.)

(a) 0.45 m (b) 0.9 m (c) 1.8 m

(a) 95 N (b) 146 N (c) 212 N (d) 357 N (e) 428 N

(a) 4 M_{0} (b) M_{0} (c) M_{0} / 4

A plastic cube (ρ = 780 kg/m^{3}, V = 0.71 m^{3}) is suspended by a string such that half the volume is submersed in water (ρ = 1000 kg/m^{3}) as shown in the figure.

What is the tension T in the string?

(a) 372 N (b) 428 N (c) 931 N (d) 1950 N (e) 2380 N

(a) 22% (b) 78% (c) 93%

(a) 98 kg (b) 123 kg (c) 156 kg

An open-tube manometer is shown to the right. Fluid A is water (ρ = 1000 kg/m^{3}). Fluid B is oil (ρ = 910 kg/m^{3}).

Which pairs of points in the figure have equal pressure?.

(a) P_{1} = P_{5} (b) P_{2} = P_{5} (c) P_{3} = P_{4} (d) P_{1} = P_{5} and P_{3} = P_{4} (e) P_{2} = P_{5} and P_{3} = P_{4}

(a) 0.01 m (b) 0.03 m (c) 0.05 m (d) 0.15 m (e) 0.30 m

Water (density = 1000 kg/m^{3}) flows through a horizontal tube of diameter 2.8 cm that is joined to a second horizontal tube of diameter 1.6 cm. The pressure difference between the two tubes is 7,500 Pa. Which tube has the higher pressure?

(a) the one with the larger diameter (b) the one with the smaller diameter

(a) 1.75 V (b) 3.06 V (c) 5.33 V

(a) 0.15 m/s (b) 1.3 m/s (c) 2.6 m/s (d) 5.2 m/s (e) 11.0 m/s

The small piston of a hydraulic lift has a cross sectional area of 3 cm^{2} . You need to lift a 15,000 N weight by applying a force of only 200 N.

What is the area of the large piston, assuming both pistons are at the same height, as shown in the drawing?.

(a) 75 cm^{2} (b) 125 cm^{2} (c) 225 cm^{2}

(a) 0.3 cm (b) 8.2 cm (c) 25 cm

(a) L_{aluminum} - L_{steel} = -3 mm (b) L_{aluminum} - L_{steel} = -2 mm (c) L_{aluminum} - L_{steel} = 0 mm (d) L_{aluminum} - L_{steel} = +2 mm (e) L_{aluminum} - L_{steel} = +3 mm