This exam consists of 24 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. The exam period was 90 minutes; the average score was 97.8; the median score was 102. Click here to see the formula sheet that came with the exam.

(a) her moment of inertia becomes smaller while her rotational energy is conserved. (b) her moment of inertia becomes smaller while energy and angular momentum are conserved. (c) her moment of inertia becomes smaller while her angular momentum is conserved. (d) both her moment of inertia and her rotational energy are conserved. (e) both her moment of inertia and her angular momentum are conserved.

(a) 40 N-m (b) 440 N-m (c) 1050 N-m (d) 1500 N-m (e) 1700 N-m

(a) 12.8 radians/sec (b) 16.2 radians/sec (c) 19.2 radians/sec (d) 27.1 radians/sec (e) 30.3 radians/sec

(a) 2.25 × 10^{3} J (b) 5.50 × 10^{3} J (c) 1.20 × 10^{4} J (d) 3.15 × 10^{3} J (e) 7.00 × 10^{2} J

(a) w_{f} = 7.0 rad/s (b) w_{f} = 9.2 rad/s (c) w_{f} = 8.6 rad/s (d) w_{f} = 10.0 rad/s (e) w_{f} = 11.0 rad/s

(a) increases. (b) decreases. (c) stays the same.

You want to make a pendulum by hanging a 0.4 kg mass by a massless string. How long should the string be if you want the pendulum to oscillate 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(wt) cm (b) x(t) = 3 cos(wt) cm (c) x(t) = - 3 sin(wt) cm

(a) v(t) = - 3w sin(wt) cm/s (b) v(t) = - 3w cos(wt) cm/s (c) v(t) = 3w cos(wt) cm/s

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

(a) 1.06 s (b) 0.95 s (c) 1.9 s (d) 0.14 s (e) 6.6 s

A block of mass M = 8 kg and initial velocity v = 1.2 m/s slides on a frictionless horizontal surface and collides with a relaxed spring of unknown spring constant. The other end of the spring is attached to a wall, as shown in the figure.

If the maximum compression of the spring is 0.4m, what is the spring constant?

(a) 30 N-m (b) 44 N-m (c) 59 N-m (d) 63 N-m (e) 72 N-m

(a) 0.91 s (b) 1.05 s (c) 1.99 s (d) 2.17 s (e) 3.00 s

(a) E_{tot} / 4 (b) E_{tot} / 2 (c) 3 E_{tot} / 4 (d) E_{tot} (e) 0

A submersible Alvin is lowered from a ship into the ocean until it reaches the ocean floor at a depth of 5 km. You may assume that the density of seawater is 1000 kg/m^{3}. You may neglect atmospheric pressure.

What is the pressure outside Alvin at the ocean floor?

(a) 4.1 × 10^{4} Pa (b) 1.9 × 10^{5} Pa (c) 7.7 × 10^{6} Pa (d) 4.9 × 10^{7} Pa (e) 9.8 × 10^{8} Pa

(a) 3.1 × 10^{5} N (b) 3.1 × 10^{4} N (c) 9.8 × 10^{4} N (d) 4.5 × 10^{5} N (e) 8.7 × 10^{3} N

(a) 0.33 kg (b) 0.98 kg (c) 0.09 kg (d) 0.93 kg (e) 0.58 kg

(a) 0.77 (b) 0.83 (c) 0.89 (d) 0.91 (e) 1.05

A buoy of mass 2.0 kg made of styrofoam (density 100 kg m^{-3}) is attached by a massless line to an anchor on the bottom of the ocean. At low tide the buoy floats freely on the surface of the water (density 1000 kg m^{-3}), but at high tide it is completely underwater.

What is the tension in the line at high tide?

(a) 177 N (b) 188 N (c) 198 N (d) 200 N (e) 981 N

(a) 0.1 (b) 0.3 (c) 0.5 (d) 0.8 (e) 0.9

(a) The buoyancy force on the buoy is the same. (b) The tension in the line is greater. (c) The tension in the line is the same.

A cylindrical garden hose has a radius of 1.5 cm, and water is passing through the hose with a speed of 0.5 m/s.

How long will it take to fill a 5 liter (0.005 m^{3}) bucket with water?

(a) 4.3 s (b) 9.8 s (c) 11.3 s (d) 14.1 s (e) 19.0 s

(a) 0.13 m/s (b) 0.5 m/s (c) 1.0 m/s (d) 1.5 m/s (e) 3.0 m/s

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