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 120. The exam period was 90 minutes; the mean score was 85.2; the median score was 89. Click here to see page1 page2 of the formula sheet that came with the exam.

A golf ball is hit upward at an angle θ from the horizontal and speed v = 40 m/s. It reaches a maximum height of 10 m as illustrated above. Assume the ballistic trajectory starts at ground level and ignore air resistance. Assume the shot is made on a wide, level field.

What is the initial angle θ ?

(a) θ = 20.5° (b) θ= 46.4° (c) θ = 57.3° (d) θ = 70.2° (e) θ = 81.1°

(a) 1.15 s (b) 2.86 s (c) 3.12 s (d) 3.37 s (e) 3.59 s

(a) θ = 90° (b) θ = 45° (c) All angles hit at the same speed.

(a) A feather dropped from the top of Loomis Lab. (b) A bowling ball dropped from a height of 1 m. (c) A bungee jumper suspended from a taut bungee cord at the lowest point on her trajectory.

(a) 660 N (b) 770 N (c) 940 N (d) 1010 N (e) Not enough information given.

(a) 2.0 m/s (b) 2.2 m/s (c) 4.1 m/s (d) 5.0 m/s (e) 25 m/s

Two astronauts with masses m_{1} = 50 kg and m_{2} = 70 kg are floating freely in orbit, watching the sun set. The little one pushes the big one. During the push, which astronaut experiences the larger force?

(a) the little one (b) the big one (c) They're the same.

(a) a car moving down a straight road at constant speed (b) a car moving around a circular race track at constant speed (c) a car moving on a circular race track at varying speed.

A 30 kg boy is attached by a taut, ideal rope to a pole in the middle of an ice skating rink. The boy circles the pole at a speed v = 2.1 m/s and distance 3 m. What is the tension in the rope?

(a) 9 N (b) 11 N (c) 22 N (d) 33 N (e) 44 N

(a) 0.7 rad/s (b) 0.9 rad/s (c) 1.1 rad/s (d) 1.3 rad/s (e) 1.5 rad/s

(a) once (b) twice (c) three times

(a) zero (b) downward (c) upward

(a) The magnitude of the acceleration is larger going up than going down. (b) The magnitude of the acceleration is larger going down than going up. (c) The magnitude of the acceleration is the same going up and going down.

A cart of mass M is on the frictionless horizontal table, and is connected to a mass m with an ideal string through a massless and frictionless pulley as shown in the figure at right.

When m is very large compared to M, what is the acceleration a of the cart?

(a) a = 0 (b) a is very large compared to g. (c) a is close to g.

(a) a = 0 (b) a = g/2 (c) a = g

(a) 2.8 N (b) 3.3 N (c) 3.8 N (d) 4.3 N (e) 4.7 N

Let a be the acceleration of block on the table to the right. The masses of the blocks are both equal to M. The tension in the string is T. Newton's second law tells us the following two equations.

Ma = T - μ_{k}Mg -Ma = T - Mg

-Ma = T - Mg

Solving these simultaneous equations, obtain the acceleration a.

(a) a = (1 - μ_{k}) g / 2 (b) a = (1 + μ_{k}) g / 2 (c) a = (1 - μ_{k}) g (d) a = (1 + μ_{k}) g (e) a = μ_{k} g

There is a block of mass M on the slope that makes an angle θ = 30° to the horizontal. The coefficient of static friction is 0.7.

The block is stationary on the slope. What is the magnitude of the friction force?

(a) Mg cos 30° (b) 0.7 Mg cos 30° (c) Mg sin 30°

(a) θ = 25° (b) θ = 35° (c) θ = 47° (d) θ = 55° (e) θ = 63°

A block of mass 23 kg is under various forces and moves along the x-axis. The x-component of its velocity is plotted as the function of time shown below.

What is the largest magnitude of the net force acting on the block before t = 60 s ?

(a) 23 N (b) 30 N (c) 39 N (d) 46 N (e) 52 N

(a) 3.3 m/s (b) 5.0 m/s (c) 6.7 m/s (d) 8.3 m/s (e) 10 m/s

A ball is thrown upward with a certain initial velocity v_{0} from the top of a tower of height h at time t = 0. It reaches the highest point at time t = 2 seconds, and the ground at time t = 5 seconds.

What is the height of the tower?

(a) 7.5 m (b) 11.5 m (c) 16.5 m (d) 20.5 m (e) 24.5 m

(a) 2 s (b) 5 s (c) 10 s

There are three boxes on a horizontal surface as illustrated in the following figure. The masses of two of the boxes are known, as shown in the figure. A person pushes the leftmost box to the right with a force of 320 N. The boxes accelerate to the right at 8 m/s^{2}.

What is the mass M of the middle box?

(a) 7 kg (b) 9 kg (c) 13 kg (d) 17 kg (e) 21 kg

(a) 153 N (b) 167 N (c) 224 N (d) 253 N (e) 289 N