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Disclaimer: this exam is taken from a final exam conducted at KFUPM during the past few years. Students are expected to solve the 30 questions in 180 minutes. Yet, in our program, you are free to open your book, discuss with others, and use all the time you need until the deadline.

1.	The graph of Fig 1 represents the straight line motion of a car that starts at t = 0, x = 0. What is the position of the car at t = 4 s?	
A)	30 m	
B)	0	
C)	-40 m	
D)	20 m	
E)	-20 m	

2.	As shown in Fig 2, vector has magnitude of 12 m and vector  has magnitude of  8 m.  in vector notation is:	
A)	(10.3m) i + (1.90m) j	
B)	(8.40m) i + (2.90m) j	
C)	(4.49m) i + (15.4m) j	
D)	0 i + 0 j	
E)	(14.4m) i + (2.50m) j	

3.	A boy on the edge of a vertical building 19.6 m high throws a stone horizontally outward with a speed of 20.0 m/s. It strikes the ground at a horizontal distance (x) from the foot of the building. Find the value of x.	
A)	10.0 m	
B)	9.80 m	
C)	50.0 m	
D)	19.6 m	
E)	40.0 m	

4.	A stone is tied to a 0.50-m string and moves in a vertical circle at a constant speed of 4.0 m/s. Its acceleration at the top of the circle is:	
A)	9.8 m/s2, up	
B)	9.8 m/s2, down	
C)	0.0 m/s2	
D)	32 m/s2, up	
E)	32 m/s2, down	

5.	A 2.0-kg block slides on a horizontal surface. Part of the surface is smooth and the other part is rough. A horizontal force is applied to the block. On the smooth part, the acceleration of the block is 3.0 m/s2, while it is 2.0 m/s2 on the rough part. What is the magnitude of the frictional force on the rough part?	
A)	8.0 N	
B)	6.0 N	
C)	4.0 N	
D)	2.0 N	
E)	10 N	

6.	A mass is suspended by a string from the ceiling of a train accelerating horizontally at 2.5 m/s2. The angle that the string makes with the vertical is:	
A)	10o	
B)	16o	
C)	14o	
D)	12o	
E)	30o	

7.	At time t = 0, a 2.0-kg particle has a velocity of . At time t = 3.0 s its velocity is . During this time interval, what is  the net work done on it:	
A)	100 J	
B)	–25 J	
C)	–75 J	
D)	–50 J	
E)	(-5.0 J) i + (10 J) j	

8.	A 6.0-kg block is released from rest 80 m above the ground. When it reaches the ground its kinetic energy is:	
A)	3500 J	
B)	4700 J	
C)	1200 J	
D)	120 J	
E)	640 J	

9.	A 0.50-kg block attached to an ideal spring with a spring constant of 80 N/m oscillates on a horizontal frictionless surface. The total mechanical energy is 0.12 J. The greatest extension of the spring from its equilibrium length is:	
A)	0.015 m	
B)	0.030 m	
C)	0.039  m	
D)	0.055 m	
E)	18  m	

10.	A 2.2-kg block starts from rest on a rough inclined plane (mk = 0.25) that makes an angle of 25° with the horizontal. As the block goes 2.0 m down the plane, the change in mechanical energy of the block is:	
A)	0	
B)	–9.8 J	
C)	9.8 J	
D)	–18 J	
E)	18   J	

11.	A 0.20-kg rubber ball is dropped from the window of a building. It strikes the sidewalk below at 30 m/s and rebounds up at 20 m/s. The impulse on the ball during collision is:	
A)	9.8 N·s upward	
B)	10 N·s downward	
C)	2 N·s upward	
D)	2 N·s downward	
E)	10 N·s upward	

12.	Blocks A and B are moving toward each other. Block A has a mass of 2.00 kg  and a velocity of 50.0 m/s, while block B has a mass of 4.00 kg and a velocity of -25.0 m/s. They suffer a completely inelastic collision. The kinetic energy lost during the collision is:	
A)	0	
B)	1250 J	
C)	3750 J	
D)	5000 J	
E)	5600 J	

13.	A solid ball of mass M = 400 g and radius R = 5.0 cm is rotating about its fixed central axis with angular speed of 3.0 rad/s. It was brought to a stop in 6.0 s. The work done to stop the ball is:	
A)	-1.8 x 10-3 J	
B)	-3.0 x 10-4 J	
C)	-4.8 x 10-4 J	
D)	-3.6 x 10-3 J	
E)	-9.0 x 10-3 J	

14.	Two identical thin (negligible radius) rods are joined together to form the shape shown in Fig 3. Each rod has a mass M and length L. The rotational inertia of the assembly about the y axis is:	
A)	(1/12) ML2	
B)	(1/6) ML2	
C)	ML2	
D)	(1/2) ML2	
E)	(1/3) ML2	

15.	A projectile of mass m=0.50 kg moves to the right with speed v0 =8.0 m/s (see Fig 4). The projectile strikes and sticks to the end of a stationary thin rod of mass M=6.0 kg and length L=1.0 m that is pivoted about a frictionless vertical axle through its center (O). The final angular velocity (w) of the (projectile + rod) after collision is:	
A)	1.2 rad/s clockwise	
B)	1.0 rad/s clockwise	
C)	3.2 rad/s clockwise	
D)	4.0 rad/s counterclockwise	
E)	2.4 rad/s clockwise	

16.	A 5.0-m weightless rod (AC), hinged to a wall at A, is used to support an 800-N block as shown in Fig 5. The horizontal and vertical components of the force (FH, FV) of the hinge on the rod are:	
A)	FH = 800 N, FV = 800N	
B)	FH = 800 N, FV = 600N	
C)	FH = 0, FV = 800N	
D)	FH = 1200 N, FV = 800N	
E)	FH = 600 N, FV = 800N	

17.	A shearing force F = 50 N is applied to an aluminum rod with a length of L =10 m, a cross-sectional area A=1.0 × 10–5 m2, and a shear modulus G = 2.5 × 1010 N/m2. As a result the rod is sheared through a distance (Dx) of:	
A)	0.10 cm	
B)	0.30 cm	
C)	0.20 cm	
D)	0.40 cm	
E)	0.50 cm	

18.	A man holds a rod AB of length = 6.0 m and weight = 30 N in equilibrium, by exerting an upward force F1, with one hand, and a downward force F2, with the other hand as shown in Fig 6. What are the magnitude of the forces F1 and F2?	
A)	F1 = 90 N, F2 = 60 N	
B)	F1 = 30 N, F2 = 30 N	
C)	F1 = 60 N, F2 = 40 N	
D)	F1 = 40 N, F2 = 50 N	
E)	F1 = 20 N, F2 = 60 N	

19.	Three identical particles each of mass m are distributed along the circumference of a circle of radius R as shown in Fig 7. The gravitational force of m2 on m1 is 1.0 x 10-6 N. The magnitude of the net gravitational force on m1 due to m2, m3 is:	
A)	3.0 x 10-6 N	
B)	1.4 x 10-6 N	
C)	2.0 x 10-6 N	
D)	0	
E)	2.5 x 10-6 N	

20.	Calculate the mass of the Sun using the fact that Earth is rotating around the Sun in a circular orbit of radius 1.496 x 1011m with a period of one year (1 year =3.156 x 107s).	
A)	1.99 x 1030 kg	
B)	6.42 x 1032 kg	
C)	4.88 x 1028 kg	
D)	3.18 x 1026 kg	
E)	5.98 x 1024 kg	

21.	Calculate the work require to move an Earth satellite of mass m from a circular orbit of radius 2RE to one of radius 3RE. (Consider ME = mass of Earth, RE = radius of Earth, G = universal Gravitational constant)	
A)	G ME m /(6 RE)	
B)	G ME m /(8 RE)	
C)	G ME m /(4 RE)	
D)	G ME m /(12 RE)	
E)	G ME m /(3 RE)	

22.	A 100-kg rock from outer space is heading directly toward Earth. When the rock is at a distance of (9RE) from the Earth's surface, its speed is 12 km/s. Neglecting the effects of the Earth's atmosphere on the rock, find the speed of the rock just before it hits the surface of Earth.	
A)	12 km/s	
B)	16 km/s	
C)	0	
D)	20 km/s	
E)	18 km/s	

23.	A uniform U-tube is partially filled with water. Oil, of density 0.75 g/cm3, is poured into the right arm until the water level in the left arm rises 3.0 cm (see Fig 8). The length of the oil column (h) is then:	
A)	2.2 cm	
B)	8.0 cm	
C)	3.0 cm	
D)	4.0 cm	
E)	10 cm	

24.	The dimensions of a boat (rboat= 150 kg/m3) is 3.00 m x 3.00 m x 1.00 m. What maximum load can it carry in sea water (rsea water= 1020 kg/m3) without sinking?	
A)	1350 kg	
B)	7830 kg	
C)	9200 kg	
D)	19500 kg	
E)	24300 kg	

25.	A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. If the pressure in the main line is 3.0 x 105 Pa, then the pressure on the second floor is: 
(Take the density of water to be 1.0 x 103 kg/m3)	
A)	5.3 x 104 Pa	
B)	4.5 x 105 Pa	
C)	1.1 x 105 Pa	
D)	2.1 x 105 Pa	
E)	3.4 x 105 Pa	

26.	The rate of flow of water through a horizontal pipe is 2.00 m3/min. Calculate the speed of flow at a point where the diameter of the pipe is 10.0 cm.	
A)	4.24 m/s	
B)	2.00 m/s	
C)	0.20 m/s	
D)	20.0 m/s	
E)	2.12 m/s	

27.	A mass m1 = 1.0 kg is connected to a spring (with spring constant equal to k) and oscillates on a horizontal frictionless table with a period of 1.0 s. When m1 is replaced with another unknown mass m2, the period changes to 2.0 s. Find the value of m2.	
A)	4.0 kg	
B)	2.0 kg	
C)	1.0 kg	
D)	0.5 kg	
E)	0.25 kg	

28.	A 0.500 kg block is connected to a spring (k = 20.0 N/m) and oscillates on a horizontal frictionless table. Calculate the maximum kinetic energy of the block if the amplitude of the simple harmonic motion is 3.00 cm.	
A)	4.00 x 10-4 J	
B)	8.00 x 10-2 J	
C)	3.00 x 10-1 J	
D)	9.00 x 10-3 J	
E)	5.00 x 10-5 J	

29.	If the displacement of a block-spring system is described by the following equationwhere x is in m, and t is in s. What is the speed of the block when its displacement is x = 0.1 m?	
A)	10.0 m/s	
B)	1.73 m/s	
C)	0.30 m/s	
D)	2.00 m/s	
E)	1.00 m/s	

30.	A simple pendulum has a period of 10.0 s if the free fall acceleration is g. What would its period be if the free fall acceleration is g/2?	
A)	14.1 s	
B)	20.0 s	
C)	5.00 s	
D)	10.0 s	
E)	7.07 s