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 114. When the exam was given, the mean was 92.8; the median was 96. Click here to see the formula sheet that came with the exam.

A metal block of volume 0.02 m^{3} and of density r = 5000 kg/m^{3} is suspended under water (density=1000 kg/m^{3}). What is the tension in the string?

(a) 375 N (b) 550 N (c) 784 N (d) 1100 N (e) 0 N

(a) less than T. (b) equal to T. (c) greater than T.

(a) Container A (b) Container B (c) They both weigh the same.

(a) 704 kg/m^{3} (b) 923 kg/m^{3} (c) 846 kg/m^{3} (d) 1522 kg/m^{3} (e) 1250 kg/m^{3}

A U-shaped tube is open at both ends to the atmosphere. It contains two different liquids. One liquid has density r = 1000 kg/m^{3}. The other liquid has density r_{1} = 1200 kg/m^{3}. ^{ }The height h is 0.30 m (see the figure, which is not necessarily to scale). What is the height h_{1}?

(a) 0.15 m (b) 0.20 m (c) 0.25 m (d) 0.30 m (e) 0.36 m

(a) 27 m (b) 68 m (c) 99 m (d) 134 m (e) 156 m

(a) Mg (b) Mg(D_{1}/D_{2}) (c) Mg(D_{2}/D_{1}) (d) Mg(D_{1}/D_{2})^{2} (e) Mg(D_{2}/D_{1})^{2}

Water (density = 1000 kg/m^{3}) flows in a horizontal circular pipe from a region of larger cross section (A) to smaller cross section (B), as shown in the figure below. The cross sectional area of B is 0.25 × 10^{-3} m^{2}, the speed of the water in B is 16 m/s, and the speed of the water in A is 4 m/s. What is the cross sectional area of A?

(a) 0.50 × 10^{-3} m^{2} (b) 1.00 × 10^{-3} m^{2} (c) 4.00 × 10^{-3} m^{2}

(a) P_{A} = P_{B} (b) P_{A} > P_{B} (c) P_{A} < P_{B}

A small solid cylinder of mass M and radius R is released from rest at the top of a hill. The height of the hill is H. The cylinder rolls without slipping down the hill. Assume no energy is lost to friction.

When the cylinder is part of the way down the hill, the magnitude of its acceleration is a. What is the magnitude of the torque about an axis through the center of the cylinder due to the static friction between the cylinder and the surface?

(a) MR^{2}a (b) MRa/2 (c) MRa (d) MR^{2}a/4 (e) MRa/4

(a) greater than MgH. (b) equal to MgH. (c) less than MgH.

(a) 18.1 m/s (b) 12.4 m/s (c) 16.2 m/s (d) 24.3 m/s (e) 32.5 m/s

(a) greater than V. (b) equal to V. (c) less than V.

(a) angular velocity, angular momentum, and kinetic energy (b) angular velocity and kinetic energy only (c) angular velocity only

(a) She starts to spin counter-clockwise. (b) She starts to spin clockwise. (c) Neither of the above

(a) 5 rad/s (b) 10 rad/s (c) 15 rad/s (d) 20 rad/s (e) 25 rad/s

The north stairwell in Loomis Lab contains a hook 12 m above ground level. A steel ball of mass 10 kg is suspended by a thin wire from the hook so that the ball sits just above the floor. The ball is pulled to the side, then released. With what period does it oscillate?

(a) 3.1 s (b) 3.5 s (c) 6.2 s (d) 7.0 s (e) 9.8 s

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

A slingshot is built from a single, massless elastic band with spring constant 64 N/m. The slingshot is stretched by 0.5 m from its relaxed position and loaded with an 0.01 kg stone. At what speed V will the stone leave the slingshot?

(a) 5 m/s (b) 10 m/s (c) 20 m/s (d) 40 m/s (e) 80 m/s

(a) V/4 (b) V/2 (c) V

(a) 4.5 N/m (b) 9.8 N/m (c) 11.0 N/m (d) 12.1 N/m (e) 13.0 N/m

A block of mass M = 10 kg is attached to a relaxed spring of spring constant k = 250 N/m on a horizontal frictionless surface. The opposite end of the spring is fixed to a wall, as shown in the figure. At time t = 0, the block is struck, giving it an initial velocity V_{0} = 2 m/s to the right. What is the maximum compression of the spring?

(a) 0.1 m (b) 0.2 m (c) 0.3 m (d) 0.4 m (e) 0.5 m

(a) when the spring is relaxed (b) when the spring has its maximum compression (c) neither of the above

(a) 0.35 s (b) 0.63 s (c) 0.78 s (d) 0.95 s (e) 1.08 s

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