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1 University Science College Physics dept. PHYS 0 Kuwait University Fall 205/206 (Oct 26, 205) Physics Department Physics 0 First Midterm Exam Fall Oct 205 6:0 pm - 8:0 pm Student s Name:.... Student s Number:. Section: Choose your Instructor s Name: Prof. Yacoub Makdesi Dr. Ahmed Al-Jassar Dr. Abdul-Mohsen Ali Dr. Belal Salameh Dr. Abdel Khaleq Prof. Fikry El Akkad Dr. Hassan Ra fat Dr. Tarek Al Refae Dr. Nasser Demir Dr. Fatima AlDousari Grades: For Instructors use only # SP SP2 SP SP4 SP5 SP6 SP7 SP8 SP9 SP0 SP LP LP2 LP Total Points 20 Important t:. Answer all Problems. 2. Full mark = 20 points, arranged as follows: i. Short Problems ( mark each), and ii. Long Problems ( marks each).. No solution = no points. 4. Use SI Units. 5. Check the correct answer for each question. 6. Assume g=0 m/ s². 7. Mobiles are strictly prohibited during the exam. 8. Programmable calculators whichh can store equations are not allowed. 9. Please write down your final answer in the box shown in each problem. 0. Cheating accidents will be processed according to the university rules.

2 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) GOOD LUCK PART I: Solve the following short problems. Solutions must be provided. (Each problem is assigned one point) SP. A tire 0.6 m in radius rotates (in place) at a constant rate of 240 rev/min. find the acceleration(in m/s 2 ) of a small stone in the tip of the tire (on its outer edge) SP 2. Consider the displacement vectors = ( 4 4 and = (2 5 5, find the magnitude(inn m) of the vector..7.7 SP. A boy throws a ball vertically upward. The ball returns to the boy s hand afterr 4 seconds. ignoring air resistance, find the velocity(in m/ /s) of the ball just before it strikes the boy s hand. t = 4 s OR SP 4. A man wants to fire a small shell ball toward a target 40.2m away from him ass shown in the figure. If the initial firing speed is 25 m/s, find the possible angles of projection. sin m

3 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) SP 5. A particle is moving clockwise in a circle of radius 2.5m. The direction of its accelerat tion, at a certain instant, is shown in the figure. Find the speed (in m/s) of the particle at this instantt of time, if the magnitude of the acceleration is 4.6 m/s². cos cos = = m/s = m/s SP 6. A particle moves in a straight line according to the function X= =6 where X is in m and t is in seconds. What is the unit of the constant number 6 for the given function? Unit is SP 7. A particle moves along the axis. Its position is given by the equation 26 4², with in meters and in seconds. Determine its position (in m) when it changes direction ² = 8 m = 8 m SP 8. If = 7 units and = 0 units, find the angle of the vector with respect to positive x-axis. 0 sin0 0 cos

4 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) SP 9. An airplane wishes to fly due west with respect to ground. The airplanes compass indicates that it is flying in a direction of 7⁰ north of west. If wind of 00 km/h blows south, then tan 7 a) plot the velocity vector triangle showing the corresponding velocity on each side. b) find the speed of the plane (in km/h) with respect to ground. /2 tan SP 0. The velocity Vs time of a particle is shown in the graph. Write down the velocity equation as a function of time SP. A particle initially located at the origin has an acceleration of = 4.00 m/s² and an initial velocity of =5.00 m/s. Find the position vector (in m) of the particle after 2s

5 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) LP. PART II: Solve the following long problems. Solutions must be provided. (Each problem is assigned three points) One drop of oil falls down onto the road from the engine of a moving car every 0s. The figure shows the pattern of the drops on the road. A B C The car moves from rest from point A with constantt acceleration 0.5 m/s². The T velocity of the car is maintained constant just after passing point B.. Calculate the velocity (in m/ s) of the car at point B Calculate the distance (in m) between points A and C Choose the correct figure which shows the acceleration of the car as a a function of time. 5

6 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) LP2. A boy, 24m from a building, kicks a ball towards the building with speed 20m/s at an angle 5.⁰ above the horizontal.. Calculate the time (in s) for the ball to strike the building. cos 20cos5. sin ⁰ 24m 2 2. With what speed (in m/s) the ball will strike the building? = Choose the correct answer. If the ball is kicked with initial velocity ₒ 4 m/s. Then the speed of the ball at the highest point in its path is 0 m/s 4m/s 5m/s 7m/s 6

7 University Science College Physics dept. PHYS 0 Fall 205/206 (Oct 26, 205) LP. Osama, Ali and Bader are standing in a football field. Osama (O) is at the center of the field. Ali (A) is 20m east of Osama and Bader (B) is 60m in a direction 5.⁰ north of east with respect to Osama. a) If vector and vector are the position vectors of Ali and Bader respectively with 20 respect to the field center O, write down and in unit vectors and notations. 60cos5. 60sin North B O 5. o A East b) How far (in m) is Bader from Ali? cos OR d 6ı 48ȷ c) Choose the correct answer. If Osama runs to Ali then to Bader in total time of 40s, then the average velocity of Osama is.5m/s 5.⁰ east of north.75m/s 5.⁰ east of north 2m/s 5.⁰ east of north.5m/s 5.⁰ north of east.5m/s 5.⁰ south of east 7