This exam consists of 26 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 119. When the exam was given, the mean was 90.0; the median was 92. Click here to see the formula sheet that came with the exam.

A uniform solid disk of mass 4 kg and radius 0.25 m is at rest at the top of a 4 m long incline that makes an angle of 30° with the horizontal as shown in the figure.

If the disk is released and it rolls down the incline without slipping, what is the linear speed of the center of mass of the disk when it reaches the bottom of the incline?

(a) 1.81 m/s (b) 3.62 m/s (c) 5.11 m/s (d) 6.26 m/s (e) 12.46 m/s

(a) smaller. (b) the same. (c) larger.

A student of mass 60 kg stands at the edge of the platform of a merry-go-round, which is a uniform circular disk of radius 2 m and mass 200 kg. Assume that the student can be treated as a point mass.

If the merry-go-round rotates at an angular velocity of 2 rad/s around its axis, what is the angular momentum of the system consisting of student plus merry-go-round around the axis of rotation of the platform?

(a) 200 kg-m^{2}/s (b) 100 kg-m^{2}/s (c) 60 kg-m^{2}/s (d) 520 kg-m^{2}/s (e) 1280 kg-m^{2}/s

(a) 2.8 rad/s (b) 2.0 rad/s (c) 4.6 rad/s (d) 4.0 rad/s (e) 0.5 rad/s

(a) smaller (b) equal (c) larger

(a) Walk to the center of the platform. (b) Walk along the edge of the platform in the direction of rotation of the platform. (c) Walk along the edge of the platform opposite to the direction of rotation of the platform.

(a) 0.20 kg-m^{2} (b) 0.10 kg-m^{2} (c) 0.005 kg-m^{2} (d) 0.15 kg-m^{2} (e) 0.25 kg-m^{2}

A 2.4-kg object is attached to a horizontal spring of force constant k = 9000 N/m. The spring is stretched 0.10 m from equilibrium and released. Neglect friction.

Find the total energy.

(a) 22.5 J (b) 9 J (c) 5 J (d) 90 J (e) 45 J

(a) E_{tot} / 4 (b) E_{tot} / 2 (c) E_{tot}

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

(a) 0.124 s (b) 0.026 s (c) 0.065 s (d) 0.081 s (e) 1.75 s

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

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

Consider a simple pendulum in which a point object of mass 2 kg is suspended from a string. The period of the pendulum is 5 s, and the gravitational acceleration is g = 9.8 m/s^{2}.

What is the length of the pendulum?

(a) 3.1 m (b) 6.2 m (c) 9.3 m (d) 8.3 m (e) 15.5 m

(a) greater than 5 s. (b) less than 5 s. (c) equal to 5 s.

(a) The elevator is accelerating upward. (b) The elevator is accelerating downward.

A slab of ice (density = 920 kg/m^{3}, volume = 0.725 m^{3}) floats on a freshwater lake. What is the maximum mass that a woman can have in order that she can stand on the ice without getting her feet wet?

(a) 75 kg (b) 64 kg (c) 58 kg (d) 52 kg (e) 46 kg

(a) greater. (b) less. (c) the same

Water flows at a rate of 3.11 kg/s through a hose with a diameter of 3 cm. What is the speed of the water in the hose?

(a) 1.3 m/s (b) 1.8 m/s (c) 2.4 m/s (d) 7.2 m/s (e) 4.4 m/s

(a) 4 V (b) 16 V (c) V / 4 (d) V / 16 (e) V

(a) greater than 3.11 (b) less than 3.11 (c) equal to 3.11

(a) in the hose (b) in the nozzle (c) the pressure is the same in each

A piece of wood of density 706 kg/m^{3} is tied with a string to the bottom of a water-filled flask. The wood is completely submerged and has a volume of 8.00 × 10^{-4} m^{3}. What is the tension in the string?

(a) 1.1 N (b) 1.4 N (c) 5.9 N (d) 7.8 N (e) 2.3 N

(a) greater (b) less (c) the same

(a) 1120 (b) 1740 (c) 2350 (d) 4230 (e) 5560