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 125. When the exam was given, the mean was 95.9; the median was 99. Click here to see the formula sheet that came with the exam.

(a) 138 kg (b) 206 kg (c) 245 kg (d) 312 kg (e) 323 kg

(a) the block of mass M (b) the block of mass 2M (c) The two blocks have the same kinetic energy.

(a) W_{1} < W_{2} (b) W_{1} = W_{2} (c) W_{1} > W_{2}

(a) V_{1}= V_{2} (b) V_{1} = (1.2) V_{2} (c) V_{1} = (1.3) V_{2} (d) V_{2} = (1.7) V_{2} (e) V_{1} = (1.9) V_{2}

(a) 0.52 m/s (b) 0.41 m/s (c) 0.23 m/s (d) 0.17 m/s (e) 0.04 m/s

(a) 4.1 m/s (b) 4.9 m/s (c) 5.7 m/s (d) 5.9 m/s (e) 9.8 m/s

A bat strikes a ball, which has a mass of 0.1 kg and is initially moving at 40m/s toward the bat, delivering a mean force of 8400 N during a total contact time of 1 × 10^{-3} s. What is the magnitude of the impulse imparted to the ball by the bat? Assume that the motion is 1 dimensional.

(a) 8.4 kg m/s (b) 8.8 kg m/s (c) 9.5 kg m/s (d) 11 kg m/s (e) 19 kg m/s

(a) 19 m/s (b) 23 m/s (c) 35 m/s (d) 44 m/s (e) 48 m/s

(a) ball A (b) ball B (c) They are both the same.

The Earth moves around the sun in a circular orbit (approximately) once every 365.25 days (see diagram) or 3.156 × 10^{7} seconds.

What is the Earth’s angular displacement Dq over the course of the fall semester, which is about 98 days long?

(a) 1.00 rad (b) 1.41 rad (c) 1.69 rad (d) 2.23 rad (e) 12.1 rad

(a) 1.99 × 10^{-7} rad/s (b) 2.06 × 10^{-6} rad/s (c) 3.11 × 10^{-5} rad/s (d) 4.96 × 10^{-4} rad/s (e) 1.15 × 10^{-3} rad/s

A steam locomotive has two kinds of wheels: large, driving wheels with radius 0.5 m, and small guide wheels with radius 0.25 m (see the diagram). Starting from rest, the train undergoes constant linear acceleration for 30 s. At the end of 30 s the train is moving at 10 m/s.

What is the magnitude of the angular acceleration of the driving wheels?

(a) 1/3 rad/s^{2} (b) 2/3 rad/s^{2} (c) 1 rad/s^{2} (d) 4/3 rad/s^{2} (e) 30 rad/s^{2}

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

(a) 0.011 rad/s^{2} (b) 0.021 rad/s^{2} (c) 0.033 rad/s^{2} (d) 0.044 rad/s^{2} (e) 0.083 rad/s^{2}

A man of mass 85 kg stands on one end of a uniform board of length 2 m and mass 15 kg. The other end is tied to the floor by a steel cable, and the board is supported from below just 0.5 m from the cable end (see figure).

Find the magnitude of the torque exerted by the man on the board with respect to the axis represented by the support.

(a) 850 N-m (b) 1251 N-m (c) 1453 N-m (d) 1959 N-m (e) 2057 N-m

(a) T_{1 }> T_{2} (b) T_{1} < T_{2} (c) T_{1} = T_{2}

(a) 0.6 m (b) 0.8 m (c) 1.2 m (d) 2.0 m (e) 3.0 m

(a) yes (b) no

A skier with a mass of 50 kg starts from the top of a hill at height h. The skier glides down the hill to point A where her velocity is v_{A} = 20 m/s and continues up a second hill 8 meters high and back down the other side. Her entire trip up to point C is frictionless. At point C she begins stopping and comes to a complete stop 48 meters later at point D.

What is the height h of the hill?

(a) h = 11.1 m (b) h = 16.2 m (c) h = 20.4 m (d) h = 28.5 m (e) h = 33.1 m

(a) v_{B} = 9.64 m/s (b) v_{B} = 11.2 m/s (c) v_{B} = 12.5 m/s (d) v_{B} = 15.6 m/s (e) v_{B} = 23.6 m/s

(a) F_{CD} = 81.6 N (b) F_{CD} = 208 N (c) F_{CD} = 282 N (d) F_{CD} = 328 N (e) F_{CD} = 490 N

(a) D (b) 2D (c) D/2

What is the speed of the box V_{G} when it hits the ground?

(a) V_{G} = 115 m/s (b) V_{G} = 147 m/s (c) V_{G} = 139 m/s (d) V_{G} = 203 m/s (e) V_{G} = 188 m/s

(a) V_{G,NEW} = 2V_{G} (b) V_{G,NEW} = 4V_{G} (c) V_{G,NEW} = V_{G}

What is the height h_{1}?

(a) h_{0} (b) 2h_{0} (c) h_{0}/9 (d) h_{0}/2 (e) h_{0}/4