This exam consists of 25 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 111. When the exam was given, the minimum "A" score was 99; the minimum "B" was 85; the minimum "C" was 72; the minimum "D" was 55. The mean was 96.4; the median was 98. Click here to see the formula sheet that came with the exam.

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 by (see picture) by 0.1m.

What is the magnitude of force F?

(a) 8 N (b) 10 N (c) 17 N (d) 13 N (e) 21 N

(a) 3.3 sec (b) 2.3 sec (c) 1.1 sec (d) 1.4 sec (e) 9.3 sec

(a) It would be twice as large. (b) It would be four times as large. (c) It would not change.

(a) It will be larger. (b) It will be smaller. (c) It will not change.

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) 9.2 J (d) 3.4 J (e) 8.2 J

(a) 8.5 m/s (b) 10.2 m/s (c) 17.5 m/s (d) 13.3 m/s (e) 19.4 m/s

(a) L_{2} / L_{1} = sqrt(2) (b) L_{2} / L_{1} = 2 (c) L_{2} / L_{1} = 4

(a) It rise. (b) It stays the same. (c) It falls.

(a) F_{B, LEAD} = F_{B, IRON} (b) F_{B, LEAD} > F_{B, IRON} (c) F_{B, LEAD} < F_{B, IRON}

A block of mass 10 kg and volume 1.25 x 10^{-3 }m^{3} is suspended from a string and immersed in water (density = 1000 kg/m^{3}) as shown in the figure.

How large is the buoyant force on the block?

(a) 4.07 N (b) 9.26 N (c) 12.3 N (d) 47.8 N (e) 98.1 N

(a) 98 (b) 98 + F_{B} (c) 98 - F_{B}

The small piston of a hydraulic lift has a cross sectional area of 3 cm^{2} and the large piston has an area of 200 cm^{2}. What force F must be applied to the small piston to lift a load of 15,000 N on the large piston, assuming both pistons are at the same height, as shown in the drawing?

(a) 150 N (b) 225 N (c) 550 N (d) 1050 N (e) 2.25 × 10^{8} N

Water (density = 1000 kg/m^{3}) squirts from a syringe at a speed of 30 m/s. The diameter of the opening is 1 x 10^{-4} m.

What is the mass of the water that flows through the hole in one second?

(a) 2.4 × 10^{-4} kg (b) 5.1 × 10^{-4} kg (c) 7.2 × 10^{-4} kg (d) 8.5 × 10^{-4} kg (e) 10.2 × 10^{-4} kg

(a) 4.5 × 10^{5} N/m^{2} (b) 5.3 × 10^{5} N/m^{2} (c) 7.2 × 10^{5} N/m^{2} (d) 8.4 × 10^{5} N/m^{2} (e) 9.7 × 10^{5} N/m^{2}

(a) 5°C (b) 30°C (c) 45°C (d) 65°C (e) 85°C

A barometer is filled with an unknown liquid as shown in the drawing below. The open bottom end of the barometer is exposed to air at atmospheric pressure P_{a}=1.01 x 10^{5} N/m^{2}, and the pressure in the top closed end is 0. The liquid in the closed end rises to a height h_{0}=1.5 m above the open end. What is the density of the liquid?

(a) 2510 kg/m^{3} (b) 3250 kg/m^{3} (c) 6870 kg/m^{3} (d) 7630 kg/m^{3} (e) 9340 kg/m^{3}

(a) h_{1} = h_{0} (b) h_{1} = h_{0} / 2 (c) h_{1} = h_{0} / 4

(a) The ball won’t fit through the hole any more. (b) The ball will fit more easily through the hole. (c) Same as at room temperature.

Two metal rods, one made from aluminum and the other from steel, have the same initial length (L_{o} = 5 m) at room temperature (T_{o} = 20°C). At what temperature T_{1} would the aluminum rod be 2 mm longer than the steel rod (assuming that both rods are at the same temperature).

(a) T_{1} = -22°C (b) T_{1} = 0°C (c) T_{1} = 4°C (d) T_{1} = 56°C (e) T_{1} = 88°C

(a) greater than 2 mm. (b) less than 2 mm. (c) equal to 2 mm.

(a) The bucket with the aluminum block. (b) The bucket with the steel block. (c) Both buckets of water will be at the same temperature.

A 50 g ice cube having an initial temperature of 0°C is put into an insulated cup containing a mass M of water that has an initial temperature of 20°C. After a long time, all the ice is melted and the remaining water is at 0°C. What was the mass M of the water that was initially in the cup? (Assume no heat can flow in or out of the cup)

(a) M = 50 g (b) M = 115 g (c) M = 135 g (d) M = 180 g (e) M = 200 g

(a) A mixture of water and ice at a temperature of 0°C. (b) Water at a temperature of 0°C. (c) Ice at a temperature of 0°C.

(a) V_{0} = V_{4} (b) V_{0} > V_{4} (c) V_{0} < V_{4}