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 111. When the exam was given, the minimum "A" score was 99; the minimum "B" was 85; the minimum "C" was 72; the minimum "D" was 55. The mean was 87.7; the median was 93.

Click here to see the formula sheet that came with the exam. You should assume that the acceleration of gravity near the surface of the earth is 9.8 m/s^{2} downward, and ignore any effects due to air resistance.

A car starts from rest and, moving with constant acceleration along a straight line, has a speed of 25 m/s after traveling 120 m.

What is the acceleration of the car?

(a) 1.25 m/s^{2} (b) 1.75 m/s^{2} (c) 2.20 m/s^{2} (d) 2.60 m/s^{2} (e) 3.20 m/s^{2}

(a) 5.4 s (b) 6.2 s (c) 7.3 s (d) 9.6 s (e) 11.3 s

An object starts from rest and accelerates with constant acceleration. It travels a total distance D in the first 4 seconds? How far does it travel in the first 6 seconds?

(a) 1.50 D (b) 2.00 D (c) 2.25 D

(a) Dv_{34} > Dv_{89} (b) Dv_{34} = Dv_{89} (c) Dv_{34} < Dv_{89}

An airplane on a humanitarian mission is flying horizontally at a speed of 120 m/s and an altitude of 2000 m when it drops a package of supplies.

How long does it take for the package to reach the ground?

(a) 23.5 s (b) 18.1 s (c) 20.2 s (d) 15.9 s (e) 25.4 s

(a) 120 m/s (b) 157 m/s (c) 182 m/s (d) 232 m/s (e) 318 m/s

(a) somewhat north of east (b) due east (c) somewhat south of east

(a) ball A (b) ball B (c) They both reach the ground at the same time.

(a) F_{N} < Mg (b) F_{N} = Mg (c) F_{N} > Mg

(a) 366 N (b) 535 N (c) 677 N (d) 1224 N (e) 2000 N

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

A box of mass M slides down a frictionless inclined plane that makes an angle q with the horizontal.

What is the magnitude of the normal force acting on the box?

(a) M g (b) M g cos(q) (c) M g sin(q)

(a) 7 N (b) 17 N (c) 34 N (d) 98 N (e) 103 N

Suppose the cable of a crane is raising a box of mass M = 500 kg with an upward acceleration of 4 m/s^{2}. What is the tension in the cable?

(a) 2450 N (b) 6900 N (c) 4530 N (d) 9800 N (e) 3340 N

(a) 918 kg (b) 723 kg (c) 1836 kg (d) 1023 kg (e) 602 kg

(a) 367 m (b) 123 m (c) 731 m (d) 291 m (e) 98 m

Suppose you are driving in a car with a constant speed of V = 30 m/s through a valley whose bottom has the shape of a vertical circle of radius R = 90 m as shown in the figure. Your mass is 45 kg.

When the car is passing the bottom of the circular valley, what is the direction of its acceleration vector?

(a) points forward (to the right) (b) points upward (c) points downward

(a) F_{N} = 891 N (b) F_{N} = 734 N (c) F_{N} = 563 N (d) F_{N} = 398 N (e) F_{N} = 223 N

(a) zero (b) positive (c) negative

Consider the following two ways of moving a box across a horizontal floor. In case 1, you are pushing on the box from an angle of 30° above horizontal, and in case 2 you are pulling on the box at an angle of 30° above horizontal (see pictures). The magnitudes of the applied force F, the coefficients of kinetic friction between the box and the floor, and the horizontal distances moved along the floor, are the same in both cases.

In which case is the magnitude of the work done by F on the box greatest?

(a) case 1 (b) case 2 (c) The work done by F on the box is the same in both cases.

(a) case 1 (b) case 2 (c) The work done by friction on the box is the same in both cases.

Two balls are thrown horizontally from the roof of a 30 m tall building, hitting the level ground below (not necessarily at the same time). Ball A has a mass of 1 kg and is thrown with an initial speed of 4 m/s. Ball B has a mass of 4 kg, and is thrown with an initial speed V_{B}.

If we want the balls to have the same speed when hitting the ground, which of the following statements best describes the initial speed of ball B:

(a) V_{B} = 4 m/s (b) V_{B} > 4 m/s (c) V_{B} < 4 m/s

(a) V_{B} = 9.8 m/s (b) V_{B} = 12.5 m/s (c) V_{B} = 18.9 m/s (d) V_{B} = 20.3 m/s (e) V_{B} = 25.2 m/s

What is the magnitude of the work done by friction on the box?

(a) 123 J (b) 266 J (c) 1500 J (d) 937 J (e) 562 J