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. The exam period was 90 minutes; the mean score was 88.1; the median score was 91. Click here to see page1 page2 of the formula sheet that came with the exam.

A car moves with velocity v_{0}= 12 m/s on a slick road when the driver applies the brakes. The wheels slide and it takes the car 4 seconds to stop with a constant deceleration.

Which of these pairs of graphs correctly shows the displacement and the velocity of the car during the time when it decelerates?

(a) (b) (c)

(a) 12 m (b) 24 m (c) 48 m

(a) greater than half the total distance required to stop. (b) half the total distance required to stop. (c) less than half the total distance required to stop.

(a) 0.13 (b) 0.31 (c) 0.62 (d) 1.50 (e) 6.00

Three strings hold a block of mass M in place, as shown in the figure above. The string on the upper right pulls with a force of 141.0 N. The string on the lower right pulls with a force of 14.1 N. Gravity points in the -y direction.

What is the magnitude of the tensionT_{L} in the string on the left?

(a) 90 N (b) 100 N (c) 110 N (d) 127 N (e) 155 N

(a) 5.2 kg (b) 7.0 kg (c) 9.2 kg (d) 12.7 kg (e) 15.5 kg

(a) -10.0 N (b) 0.0 N (c) 10.0 N

A block of mass 15 kg hangs on a massless string connected via a pulley to a block of mass 40 kg, which rests on a 30° incline, as shown.

There is static friction between the incline and the 40 kg block. The two blocks remain at rest. The static friction coefficient μ_{s} must be at least

(a) 0.051 (b) 0.145 (c) 0.312 (d) 0.409 (e) 0.552

(a) The 40 kg block will slide down the incline, pulling the 15 kg block up. (b) The blocks will stay at rest. (c) The 15 kg block will fall down, pulling the 40 kg block up the incline.

(a) 110 m/h (b) 280 m/h (c) 340 m/h (d) 390 m/h (e) 410 m/h

(a) The force of the Mars Rover pulling on the rock and the frictional force between the rock and the Martian surface. (b) The normal force on the rock by the Martian surface and the gravitational force of Mars on the rock. (c) The gravitational force of Mars on the rock and the gravitational force of the rock on Mars.

(a) The elevator is speeding up. (b) The elevator is slowing down. (c) There is not enough information to tell.

(a) 2145 N (b) 3136 N (c) 4166 N

(a) 10.2 m/s^{2} (b) 15.6 m/s^{2} (c) 18.4 m/s^{2} (d) 19.3 m/s^{2} (e) 22.8 m/s^{2}

A cannon fires a cannon ball at an angle of 25°, measured from the ground as shown. At the moment the cannon ball is fired, the y component of its velocity, v_{y0}, is 8.45 m/s. The cannon ball lands 31.25 m away.

What is v_{x0}, the x-component of the cannon ball's initial velocity?

(a) 8.5 m/s (b) 10.2 m/s (c) 13.4 m/s (d) 16.1 m/s (e) 18.1 m/s

(a) 0.44 m (b) 1.57 m (c) 2.98 m (d) 3.64 m (e) 4.02 m

(a) 8.45 m/s (b) -8.45 m/s (c) 10.05 m/s (d) -10.05 m/s (e) 20 m/s

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

You are riding on a northward-bound train, which is moving at a speed of 30 mi/hr. You walk South with speed 3 mi/hr with respect to the train. Your speed with respect to the ground would be

(a) 3 mi/hr (b) 27 mi/hr (c) 30 mi/hr (d) 33 mi/hr (e) Can't tell from the information given.

(a) 29.52 m/s (b) 30.98 m/s (c) 31.06 m/s (d) 32.19 m/s (e) 33.05 m/s

Olivia is riding on a roller coaster, which moves at constant speed throughout the ride. Unfortunately, the attendant forgot to lock her in before the roller coaster departed, and now she is headed for a loop of radius 20 m.

What is the minimum speed of the roller coaster on top of the loop such that Olivia does not fall out at the top of the loop?

(a) 2 m/s (b) 6 m/s (c) 10 m/s (d) 14 m/s (e) 21 m/s

(a) 407 N (b) 612 N (c) 827 N (d) 936 N (e) 1042 N

Harvey is riding a carnival ride which consists of a cylindrically shaped room of radius R = 8 m rotating on its axis with angular velocity ω. Harvey's mass is 85 kg. The floor drops out from below Harvey's feet, and he sticks to the wall rather than descending with the floor. The coefficient of static friction of the wall, μ_{s} = 7.66 .

The angular velocity must be at least

(a) 0.10 rad/s (b) 0.25 rad/s (c) 0.40 rad/s (d) 0.55 rad/s (e) 0.66 rad/s

(a) ω would have to be twice as large. (b) ω; could be half as large. (c) ω would not need to change.