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 109. The exam period was 90 minutes; the mean score was 85.6; the median score was 89. Click here to see the formula sheet that came with the exam.

Unless otherwise stated, ignore air resistance and assume the acceleration of gravity is g = 9.81 m/s^{2} vertically downward.

Which choice below is a possible graph of the position of the particle as a function of time ?

(a) (b) (c)

A block of mass m = 1.5 kg is hung by a massless rope from the ceiling of an elevator. The elevator has an upward acceleration a = 2.6 m/s^{2}.

The tension T of the rope is:

(a) T = 3.7 N (b) T = 8.4 N (c) T = 10.8 N (d) T = 14.7 N (e) T = 18.6 N

(a) |a_{fall} | > g (b) |a_{fall} | = g (c) |a_{fall} | < g

How far from the edge of the upper pool does the water fall? This is the distance labeled x in the diagram.

(a) The water does not make it all the way to the upper pool. (b) 1.3 m (c) 2.2 m (d) 3.1 m (e) 4.6 m

(a) 0.5 m/s^{2} (b) 0.8 m/s^{2} (c) 1.0 m/s^{2} (d) 2.3 m/s^{2} (e) 9.8 m/s^{2}

A metal bucket with mass M_{B} = 1 kg containing water of mass M_{W} = 10 kg is swung in a vertical circle using a massless rope as shown in the figure. The tangential speed of the water bucket varies around the circle, but is such that at the top of the circle the tangential speed is just high enough to keep the water in the bucket.

The weight of the {bucket + water} and the tension in the rope when the bucket is at the top of the circle, T_{top}, form a Newton's 3^{rd} Law action/reaction pair.

(T) True (F) False

(a) v_{t} = 3.73 m/s (b) v_{t} = 5.42 m/s (c) v_{t} = 10.56 m/s (d) v_{t} = 14.73 m/s (e) v_{t} = 18.86 m/s

(a) T_{top} > T_{bottom} (b) T_{top} = T_{bottom} (c) T_{top} < T_{bottom}

A space telescope of mass m_{t} = 10,000 kg is in a stable circular orbit above the Earth at an altitude h = 3630 km.

The radius and mass of the Earth are R_{E} = 6370 km and M_{E} = 6 × 10^{24} kg, respectively. Newton's gravitational constant is G_{N} = 6.672 ×10^{-11} N m^{2}/kg^{2}.

What is the acceleration of the space telescope as orbits the earth?

(a) 0 m/s^{2} (b) 4.0 m/s^{2} (c) 5.7 m/s^{2} (d) 9.8 m/s^{2} (e) 30 m/s^{2}

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

Three blocks are placed in contact on a horizontal frictionless surface. A constant force of magnitude F is applied to the box of mass M. There is friction between the surfaces of blocks 2M and 3M (μ_{s} = 0.26, μ_{k} = 0.15) so the three blocks accelerated together to the right.

Which block has the smallest net force acting on it?

(a) M (b) 2M (c) 3M

(a) right (b) left

(a) a = 4 m/s^{2} (b) a = 2 m/s^{2} (c) a = 0.67 m/s^{2}

(a) 107 N (b) 62 N (c) 54 N (d) 31 N (e) 29 N

Two boxes are pulled across a surface by a falling weight as shown below. The coefficients of friction between the boxes and the surface are m_{s} and m_{k}. Neglect the masses of the ropes and the pulley.

For the frictionless case (μ_{s} = μ_{k} = 0) what is the relationship between T_{1} and T_{2}?

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

(a) a = 0 (b) a = g/5 (c) a = g/4 (d) a = g/3 (e) a = 4g

(a) a_{f} > a (b) a_{f} = a (c) a_{f} < a

(a) μ_{s} = 0.01 (b) μ_{s} = 0.20 (c) μ_{s} = 0.25 (d) μ_{s} = 0.33 (e) μ_{s} = 0.50

A physics 211 student is trying to pull a box of books of mass m = 40 kg across the floor as shown in the figure. The coefficient of static friction is μ_{s}.

If the angle θ = 0, the normal force, N is:

(a) N < mg (b) N = mg (c) N > mg

(a) T = 85 N (b) T = 120 N (c) T = 211 N (d) T = 322 N (e) T = 389 N

(a) 0 m (b) 0.28 m (c) 0.39 m (d) 0.46 m (e) 0.57 m

(a) in the same direction as the acceleration (b) in the direction opposite the acceleration (c) There is no friction force because the box does not slip.

Two groups of tourists are paddling their canoes towards each other on a river as shown in the figure below. The water in the river flows at 3 mph from left to right in the figure. The group in the canoe #1 paddling with the flow of the river travels at v_{c1} = 7 mph with respect to the ground, and the group in the canoe #2 paddling against the flow of the river travels at v_{c2} = 1 mph with respect to the ground. The directions of the velocities are as shown in the figure.

What is the speed of canoe #1 with respect to the water?

(a) 3 mph (b) 4 mph (c) 7 mph

(a) 1 mph (b) 3 mph (c) 4 mph (d) 7 mph (e) 8 mph

(a) 0.1 hr (b) 0.2 hr (c) 0.5 hr (d) 1.0 hr (e) 2.0 hr