UIC Physics 105. Midterm 1 Practice Exam. Summer 2013 Best if used by July 2 PROBLEM POINTS SCORE
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1 UIC Physics 5 Midterm 1 Practice Exam Summer 2013 Best if used by July 2 PROBLEM POINTS SCORE Multiple Choice Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 40 Total 0 Page 1 of 11
2 MULTIPLE CHOICE QUESTIONS (2 points each) Clearly circle the letter of the best answer MCQ 1: The figure to the right represents the position of a particle as it travels along the x-axis. At what value of t is the velocity of the particle equal to zero? (A) 1 s (B) 2 s (C) 3 s (D) 4 s MCQ 2: A runner runs around a track consisting of two parallel lines 96 m long connected at the ends by two semicircles with a radius of 49 m. She completes one lap in 0 seconds. What is her average velocity? (A) 2.5 m/s (B) 5.0 m/s (C) m/s (D) 0 m/s MCQ03: A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, giving the car a deceleration of 3.50 m/s 2. How far does the car travel after the driver put on the brakes before it comes to a stop? (A) 134 m (B) 146 m (C) 152 m (D) 168 m MCQ04: Two athletes jump straight up. John has twice the initial speed of Harry. Compared to Harry, John stays in the air (A) 1.41 times as long. (B) twice as long. (C) three times as long. (D) four times as long. MCQ05: A vector has components A x = 12.0 m and A y = 5.0 m. What is the angle the vector makes with the y-axis? (A) 12.3 (B) 22.6 (C) 48.3 (D) 67.4 Page 2 of 11
3 MCQ06: An object is moving with a velocity of 2.0 m/s when it undergoes an acceleration of m/s 2 over a -s time interval. The object s average velocity for the entire time interval is (A) 3.0 m/s (B) 7.0 m/s (C) 3.0 m/s (D) 7.0 m/s MCQ07: A gun is mounted on a train roof. Train is travelling with the velocity v in east (+x) direction. A car is also moving on a parallel track with train with velocity v/2 in east direction. Two bullets are fired from the muzzle of the gun. The first bullet is fired in the west direction with the muzzle velocity u. Find the velocity of the first bullet as seen from the observer on the moving car. (A) u + v/2 (B) v/2 u (C) u (D) v MCQ08: In MCQ 7, the second bullet is fired in the north (+y) direction with the muzzle velocity u. Find the velocity of the second bullet as seen from the observer on the moving car. (A) 2 (B) 2 (C) 2 (D) 2 MCQ09: A ball is thrown horizontally with a speed of m/s from the top of a tall cliff. Neglecting air drag, what vertical distance has the ball fallen 2.0 seconds later? (A) 0 m (B) 4.9 m (C) 9.8 m (D) 19.6 m MCQ: A projectile shot with an initial velocity of 50 m/s at an angle of 30 follows a parabolic path and hits a stationary balloon at the top of its trajectory. With what speed does the projectile hit the balloon? (A) 0 m/s (B) 25 m/s (C) 43 m/s (D) 50 m/s Page 3 of 11
4 MCQ 11: A model rocket is fired from ground level, at an angle of 60 above the horizontal. After 20 s the rocket lands 200 m from its staring point. The initial speed of the rocket is: (A) m/s (B) 20 m/s (C) 30 m/s (D) 40 m/s MCQ 12: A championship golfer uses a nine iron to chip a shot right into the cup. If the golf ball is launched at a velocity of 20 m/s at an angle of 45 above the horizontal, what maximum height did the ball reach? (A) m (B) 15 m (C) 20 m (D) 25 m MCQ 13: Two objects have masses m and 5m, respectively. They both are placed side by side on a frictionless inclined plane and allowed to slide down from rest. (A) It takes the lighter object 5 times longer to reach the bottom of the incline than the heavier. (B) It takes the heavier object 5 times longer to reach the bottom of the incline than the lighter. (C) The two objects reach the bottom of the incline at the same time. (D) You cannot predict in what order the two objects will reach the bottom of the incline. MCQ 14: A mass is suspended from the roof of an elevator by means of a spring balance. The elevator is speeding up and the readings of the spring balance are noted as follows: Speeding up: R U Constant speed: R C Slowing down: R D Which of the following is a correct relationship between the readings? (A) R U = R D (B) R U > R C (C) R C = R D (D) R C < R D MCQ 15: A 2 kg mass and a 1 kg mass on a horizontal frictionless surface are connected by a massless string as shown in the figure below. They are pulled horizontally across the surface with a constant acceleration of 12 m/s 2. What is the magnitude of the net force on the 2 kg mass? (A) 72 N (B) 48 N (C) 24 N (D) 12 N Page 4 of 11
5 MCQ 16: A locomotive pulls a series of wagons. Which is the correct analysis of the situation? (A) The train moves forward because the locomotive pulls forward slightly harder on the wagons than the wagons pull backward on the locomotive. (B) Because action always equals reaction, the locomotive cannot pull the wagons - the wagons pull backward just as hard as the locomotive pulls forward, so there is no motion. (C) The locomotive gets the wagons to move by giving them a tug during which the force on the wagons is momentarily greater than the force exerted by the wagons on the locomotive. (D) The locomotive's force on the wagons is as strong as the force of the wagons on the locomotive, but the frictional force on the locomotive is forward and large while the backward frictional force on the wagons is small. MCQ 17: A small box of mass m is placed on top of a larger box of mass 2m as shown in the diagram at right. When the large box is pulled across a horizontal frictionless surface, both boxes accelerate to the right with the same acceleration. If the coefficient of friction between boxes is μ s, what would be the force accelerating the smaller mass? (A) /3 (B) 3 (C) (D) F/3 MCQ 18: A 1.0 kg block attached to a spring with spring constant of 0 N/m lies on a frictionless incline of angle = 30 as shown in the figure to the right. By how much is the spring stretched? (A) 2.4 cm (B) 4.9 cm (C) 7.2 cm (D) 9.8 cm MCQ 19: A homeowner pushes a lawn mower across a horizontal patch of grass with a constant speed by applying a force F. The arrows in the diagram shown to the right correctly indicate the directions but not necessarily the magnitudes of the various forces on the lawn mower. Which of the following relations among the various force magnitudes, W, f, N, F is CORRECT? (A) F > f and N > W (B) F < f and N = W (C) F > f and N < W (D) F = f and N > W MCQ 20: A car rounds a curve while maintaining a constant speed. Is there a net force on the car as it rounds the curve? (A) It depends on the sharpness of the curve and the speed of the car. (B) With constant speed, the net force on the car is zero. (C) With constant speed, there is still be a net force that is directed outward (relative to the curve) on the car. (D) With constant speed, there is still be a net force that is directed inward (relative to the curve) on the car. Page 5 of 11
6 SHORT PROBLEMS Clearly circle the letter of the best answer SP1: The motion of a particle along a straight line is represented by the position versus time graph at the right. (a) [5 points] What is the average velocity of the particle between t = 0 s and t = 4 s? (A) 0.5 m/s (B) 2 m/s (C) 3.5 m/s (D) 6 m/s (b) [5 points] What is the instantaneous velocity of the particle at t = 4 s? (A) 0.5 m/s (B) 2 m/s (C) 3.5 m/s (D) 6 m/s Page 6 of 11
7 SP2: A car accelerates horizontally from rest on a level road at a constant acceleration of 3.0 m/s 2. Down the road it passes through two photogates that are separated by 20 m. The time interval to travel this 20 m distance as measured by the photocells is 1.4s. (a) [6 points] How long did it take the car to get to the first photogate? (A) 2 s (B) 3 s (C) 4 s (D) 5 s (b) [4 points] Calculate the speed of the car as it passes through the second photogate. (A) 12 m/s (B) 16 m/s (C) 18 m/s (D) 20 m/s Page 7 of 11
8 SP3: The position of a particle as a function of time is given by mm (a) [6 points] How far from its initial position does the particle travel in 5.0 s. (A) 20 mm (B) 40 mm (C) 60 mm (D) 0 mm (b) [4 points] Find the magnitude of the particle's instantaneous velocity at t = 5.0 s. (A) 18 mm/s (B) 22 mm/s (C) 32 mm/s (D) 36 mm/s Page 8 of 11
9 SP4: A 76-kg boulder is rolling horizontally at the top of a vertical cliff that is 20 m above the surface of a lake, as shown in the figure to the right. The top of the vertical face of a dam is located 60 m from the foot of the cliff, with the top of the dam level with the surface of the water in the lake. A level plain is m below the top of the dam. Use g = m/s 2. (a) [5 points] What must the minimum speed of the rock be just as it leaves the cliff so it will travel to the plain without striking the dam? (A) 12.5 m/s (B) 25 m/s (C) 30 m/s (D) 50 m/s (b) [5 points] How far from the foot of the dam does the rock hit the plain? (A) 12 m (B) 25 m (C) 30 m (D) 50 m Page 9 of 11
10 SP5: The figure to the right shows an 80-kilogram person standing on a 20-kilogram platform suspended by a rope passing over a stationary pulley that is free to rotate. The other end of the rope is held by the person as shown in the figure to the right. The masses of the rope and pulley are negligible. You may use g = m/s 2. Assume that friction is negligible, and the parts of the rope shown remain vertical. (a) [5 points] If the platform and the person are at rest, what is the tension in the rope? (A) 500 N (B) 600 N (C) 700 N (D) 00 N (b) [5 points] The person now pulls on the rope so that the acceleration of the person and the platform is 2 m/s 2 upward. What is the tension in the rope under these new conditions? (A) 500 N (B) 600 N (C) 700 N (D) 00 N Page of 11
11 SP6: A pilot of mass m = 0 kg in a jet aircraft executes a loop-the-loop as shown in the figure below. In this maneuver, the aircraft moves in a vertical circle of radius 2000 m at a constant speed of 200 m/s. (a) [5 points] Determine the magnitude of the force exerted by the seat on the pilot at the bottom of the loop. (A) 00 N (B) 2000 N (C) 3000 N (D) 4000 N (b) [5 points] Determine the magnitude of the force exerted by the seat on the pilot at the top of the loop. (A) 00 N (B) 2000 N (C) 3000 N (D) 4000 N Page 11 of 11
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