Physics 1653 Chapter 6,7,8,13 Review Exam 2

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Physics 1653 Chapter 6,7,8,13 Review Exam 2 CHAPTER 6 2. A rock is dropped from a high tower and falls freely under the influence of gravity. Which one of the following statements is true concerning the rock as it falls? (a) It will gain an equal amount of momentum during each second. (b) It will gain an equal amount of kinetic energy during each second. (c) It will gain an equal amount of speed for each meter through which it falls. (d) It will gain an equal amount of momentum for each meter through which it falls. (e) The amount of momentum it gains will be proportional to the amount of potential energy that it loses. 3. 3. A stunt person jumps from the roof of a tall building, but no injury occurs because the person lands on a large, air-filled bag. Which one of the following best describes why no injury occurs? (a) The bag provides the necessary force to stop the person. (b) The bag reduces the impulse to the person. (c) The bag increases the amount of time the force acts on the person and reduces the change in momentum. (d) The bag decreases the amount of time during which the momentum is changing and reduces the average force on the person. (e) The bag increases the amount of time during which the momentum is changing and reduces the average force on the person. Review Exam 2-1653 - 1 -

5. A 1.0-kg ball has a velocity of 12 m/s downward just before it strikes the ground and bounces up with a velocity of 12 m/s upward. What is the change in momentum of the ball? (a) zero kg m/s (c) 12 kg m/s, upward (e) 24 kg m/s, upward (b) 12 kg m/s, downward (d) 24 kg m/s, downward 9. A 0.065-kg tennis ball moving to the right with a speed of 15 m/s is struck by a tennis racket, causing it to move to the left with a speed of 15 m/s. If the ball remains in contact with the racquet for 0.020 s, what is the magnitude of the average force experienced by the ball? (a) zero newtons (c) 160 N (e) 9.8 10 4 N (b) 98 N (d) 1.6 10 5 N 12. While a car is stopped at a traffic light in a storm, raindrops strike the roof of the car. The area of he roof is 5.0 m 2. Each raindrop has a mass of 3.7 10 4 kg and speed of 2.5 m/s before impact and is at rest after the impact. If, on average at a given time, 150 raindrops strike each square meter, what is the impulse of the rain striking the car? (a) 0.69 N s (c) 0.14 N s (e) 21 N s (b) 0.046 N s (d) 11 N s Review Exam 2-1653 - 2 -

15. A football player kicks a 0.41-kg football initially at rest; and the ball flies through the air. If the kicker s foot was in contact with the ball for 0.051 s and the ball s initial speed after the collision is 21 m/s, what was the magnitude of the average force on the football? (a) 9.7 N (c) 81 N (e) 210 N (b) 46 N (d) 170 N Review Exam 2-1653 - 3 -

Questions 16 and 17 pertain to the situation described below: A 4.0-kg block slides along a frictionless surface with a constant speed of 5.0 m/s. Two seconds after it begins sliding, a horizontal, time-dependent force is applied to the mass. The force is removed eight seconds later. The graph shows how the force on the block varies with time. 16. What is the magnitude of the total impulse of the force acting on the block? (a) 20 N s (c) 48 N s (e) 60 N s (b) 42 N s (d) 54 N s 17. What, approximately, is the speed of the block at t = 11 seconds? (a) 5.0 m/s (c) 25 m/s (e) 75 m/s (b) 16 m/s (d) 65 m/s 21. A 50-kg toboggan is coasting on level snow. As it passes beneath a bridge, a 20-kg parcel is dropped straight down and lands in the toboggan. If (KE) 1 is the original kinetic energy of the toboggan and (KE) 2 is the kinetic energy after the parcel has been added, what is the ratio (KE) 2 /(KE) 1. (a) 0.4 (c) 0.7 (e) 1 (b) 0.6 (d) 0.8 Review Exam 2-1653 - 4 -

Ans. c. 25. An 80-kg astronaut carrying a 20-kg tool kit is initially drifting toward a stationary space shuttle at a speed of 2 m/s. If she throws the tool kit toward the shuttle with a speed of 6 m/s as seen from the shuttle, her final speed is (a) 1 m/s toward the shuttle. (d) 4 m/s toward the shuttle. (b) 1 m/s away from the shuttle. (e) 6 m/s away from the shuttle. (c) 2 m/s toward the shuttle. 28. Two objects of equal mass traveling toward each other with equal speeds undergo a head on collision. Which one of the following statements concerning their velocities after the collision is necessarily true? (a) They will exchange velocities. (d) Their velocities will be zero. (b) Their velocities will be reduced. (e) Their velocities may be zero. (c) Their velocities will be unchanged. Review Exam 2-1653 - 5 -

31. Complete the following statement: Momentum will be conserved in a two-body collision only if (a) both bodies come to rest. (b) the collision is perfectly elastic. (c) the kinetic energy of the system is conserved. (d) the net external force acting on the two-body system is zero. (e) the internal forces of the two body system cancel in action-reaction pairs. 39. A 50.0-kg boy runs at a speed of 10.0 m/s and jumps onto a cart as shown in the figure. The cart is initially at rest. If the speed of the cart with the boy on it is 2.50 m/s, what is the mass of the cart? (a) 150 kg (c) 210 kg (e) 300 kg (b) 175 kg (d) 260 kg Review Exam 2-1653 - 6 -

42. A 35-kg girl is standing near and to the left of a 43-kg boy on the frictionless surface of a frozen pond. The boy tosses a 0.75-kg ice ball to the girl with a horizontal speed of 6.2 m/s. What are the velocities of the boy and the girl immediately after the girl catches the ice ball? girl boy (a) 0.81 m/s, left 0.67 m/s, right (b) 0.17 m/s, left 0.14 m/s, left (c) 0.18 m/s, right 0.13 m/s, left (d) 0.42 m/s, left 0.49 m/s, right (e) 0.13 m/s, left 0.11 m/s, right 50. In the game of billiards, all the balls have approximately the same mass, about 0.17 kg. In the figure, the cue ball strikes another ball such that it follows the path shown. The other ball has a speed of 1.5 m/s immediately after the collision. What is the speed of the cue ball after the collision? (a) 1.5 m/s (c) 2.6 m/s (e) 5.2 m/s (b) 1.8 m/s (d) 4.3 m/s 64. A 100-kg fisherman and a 500-kg supply crate are on a frozen pond that is essentially frictionless. The man and the crate are initially separated by a distance of 600 meters. The fisherman uses a very light rope to pull the crate closer to him. How far has the man moved when the crate reaches the fisherman? (a) zero meters (c) 50 m (e) 500 m (b) 10 m (d) 100 m Review Exam 2-1653 - 7 -

Chapter 7 2. The second hand on a watch has a length of 4.50 mm and makes one revolution in 60.00 s. What is the speed of the end of the second hand as it moves in uniform circular motion? (a) 9.42 10-4 m/s (c) 5.34 10-3 m/s (e) 2.36 10-5 m/s (b) 2.67 10-3 m/s (d) 4.71 10-4 m/s 3. Approximately one billion years ago, the Moon orbited the Earth much closer than it does today. The radius of the orbit was only 24 400 km. Today, the radius is 385 000 km. The orbital period was only 23 400 s. The present period is 2.36 106 s. Assume that the orbit of the Moon is circular. Calculate the ratio of the speed of the Moon in its ancient orbit to the speed that it has today. (a) 15.8 (c) 10.2 (e) 6.39 (b) 12.8 (d) 7.15 5. A ball is whirled on the end of a string in a horizontal circle of radius R at constant speed v. The centripetal acceleration of the ball can be increased by a factor of 4 by (a) keeping the speed fixed and increasing the radius by a factor of 4. (b) keeping the radius fixed and increasing the speed by a factor of 4. (c) keeping the radius fixed and increasing the period by a factor of 4. (d) keeping the radius fixed and decreasing the period by a factor of 4. (e) keeping the speed fixed and decreasing the radius by a factor of 4. 7. A car traveling at 20 m/s rounds a curve so that its centripetal acceleration is 5 m/s2. What is the radius of the curve? (a) 4 m (c) 80 m (e) 640 m (b) 8 m (d) 160 m Review Exam 2-1653 - 8 -

8. A satellite is placed in a circular orbit to observe the surface of Mars from an altitude of 144 km. The equatorial radius of Mars is 3397 km. If the speed of the satellite is 3480 m/s, what is the magnitude of the centripetal acceleration of the satellite? (a) 2.17 m/s 2 (c) 2.99 m/s 2 (e) 4.05 m/s 2 (b) 2.60 m/s 2 (d) 3.42 m/s 2 11. A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second, and the tension in the string is FT. The boy then speeds up the stone, keeping the radius of the circle unchanged, so that the string makes two complete revolutions every second. What happens to the tension in the sting? (a) The tension is unchanged. (b) The tension reduces to half of its original value. (c) The tension increases to twice its original value. (d) The tension increases to four times its original value. (e) The tension reduces to one-fourth of its original value. 14. Sara puts a box into the trunk of her car. Later, she drives around an unbanked curve that has a radius of 48 m. The speed of the car on the curve is 16 m/s, but the box remains stationary relative to the floor of the trunk. Determine the minimum coefficient of static friction for the box on the floor of the trunk. (a) 0.42 (d) 0.33 (b) 0.54 (e) This cannot be determined without knowing the mass of (c) 0.17 the box. 15. In an amusement park ride, a small child stands against the wall of a cylindrical room that is then made to rotate. The floor drops downward and the child remains pinned against the wall. If the radius of the device is 2.15 m and the relevant coefficient of friction between the child and the wall is 0.400, with what minimum speed is the child moving if he is to remain pinned against the wall? (a) 7.26 m/s (c) 12.1 m/s (e) 9.80 m/s (b) 3.93 m/s (d) 5.18 m/s Review Exam 2-1653 - 9 -

18. The maximum speed at which a car can safely negotiate an unbanked curve depends on all of the following factors except (a) the diameter of the curve. (b) the acceleration due to gravity. (c) the coefficient of static friction between the road and the tires. (d) the coefficient of kinetic friction between the road and the tires. (e) the ratio of the static frictional force between the road and the tires and the normal force exerted on the car. 20. Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 2.00 10 2 m. (a) 0.200 (c) 11.5 (e) 78.2 (b) 0.581 (d) 19.6 Questions 23 through 25 pertain to the statement below: A 1000-kg car travels along a straight 500-m portion of highway (from A to B) at a constant speed of 10 m/s. At B, the car encounters an unbanked curve of radius 50 m. The car follows the road from B to C traveling at a constant speed of 10 m/s while the direction of the car changes from east to south. 23. What is the magnitude of the acceleration of the car as it travels from A to B? (a) 2 m/s 2 (c) 10 m/s 2 (e) zero m/s 2 (b) 5 m/s 2 (d) 20 m/s 2 24. What is the magnitude of the acceleration of the car as it travels from B to C? (a) 2 m/s 2 (c) 10 m/s 2 (e) zero m/s 2 (b) 5 m/s 2 (d) 20 m/s 2 25. What is the magnitude of the frictional force between the tires and the road as the car negotiates the curve from B to C? (a) 20 000 N (c) 5000 N (e) 1000 N (b) 10 000 N (d) 2000 N Review Exam 2-1653 - 10 -

26. The earth exerts the necessary centripetal force on an orbiting satellite to keep it moving in a circle at constant speed. Which statement best explains why the speed of the satellite does not change although there is a net force exerted on it? (a) The satellite is in equilibrium. (b) The acceleration of the satellite is zero m/s 2. (c) The centripetal force has magnitude mv 2 /r. (d) The centripetal force is canceled by the reaction force. (e) The centripetal force is always perpendicular to the velocity. 30. A satellite is placed in equatorial orbit above Mars, which has a radius of 3397 km and a mass MM = 6.40 1023 kg. The mission of the satellite is to observe the Martian climate from an altitude of 488 km. What is the orbital period of the satellite? (a) 9.18 10 2 s (c) 7.36 10 3 s (e) 7.27 10 12 s (b) 3.62 10 3 s d) 1.08 10 5 s 45. A 25-kg box is sliding down an ice-covered hill. When it reaches point A, the box is moving at 11 m/s. Point A is at the bottom of a circular arc that has a radius R = 7.5 m. What is the magnitude of the normal force on the box at Point A? (a) 250 N (d) 650 N (b) 280 N (e) 900 N (c) 400 N Review Exam 2-1653 - 11 -

Questions 49 through 52 pertain to the situation described below: A 1500-kg car travels at a constant speed of 22 m/s around a circular track that has a radius of 85 m. 49. Which statement is true concerning this car? (a) The velocity of the car is changing. (b) The car is characterized by constant velocity. (c) The car is characterized by constant acceleration. (d) The car has a velocity vector that points along the radius of the circle. (e) The car has an acceleration vector that is tangent to the circle at all times. 50. What is the magnitude of the acceleration of the car? (a) 5.7 m/s 2 (c) 9.8 m/s 2 (e) zero m/s 2 (b) 0.26 m/s 2 (d) 1.2 m/s 2 51. What is the average velocity of the car during one revolution? (a) 8.0 m/s (c) 26 m/s (e) zero m/s (b) 12 m/s (d) 44 m/s 52. Determine the magnitude of the net force that acts on the car. (a) 390 N (c) 8.5 10 3 N (e) zero newtons (b) 1800 N (d) 1.5 10 4 N 53. Jupiter has a mass that is roughly 320 times that of the Earth and a radius equal to 11 times that of the Earth. What is the acceleration due to gravity on the surface of Jupiter? (a) 2.7 m/s 2 (c) 26 m/s 2 (e) 260 m/s 2 (b) 9.8 m/s 2 (d) 87 m/s 2 Review Exam 2-1653 - 12 -

Chapter 8 Review 2. A wrench is used to tighten a nut as shown in the figure. A 12-N force is applied 7.0 cm from the axis of rotation. What is the torque due to the applied force? (a) 0.58 N m (b) 0.84 N m (c) 1.71 N m (d) 14 N m (e) 58 N m 3. A string is tied to a doorknob 0.79 m from the hinge as shown in the figure. At the instant shown, the force applied to the string is 5.0 N. What is the torque on the door? (a) 3.3 N m (b) 2.2 N m (c) 1.1 N m (d) 0.84 N m (e) 0.40 N m Review Exam 2-1653 - 13 -

6. A horizontal, 10-m plank weighs 100 N. It rests on two supports that are placed 1.0 m from each end as shown in the figure. How close to one end can an 800-N person stand without causing the plank to tip? (a) 0 m (d) 0.6 m (b) 0.2 m (e) 0.8 m (c) 0.5 m 8. One end of a rope is tied to the handle of a horizontally-oriented and uniform door. A force F is applied to the other end of the rope as shown in the drawing. The door has a weight of 145 N and is hinged on the right. What is the maximum magnitude of F at which the door will remain at rest? (a) 145 N (d) 424 N (b) 265 N (e) 530 N (c) 381 N Review Exam 2-1653 - 14 -

10. 10. In the drawing shown, the large wheel has a radius of 8.5 m. A rope is wrapped around the edge of the wheel and a 7.6 kg-box hangs from the rope. A smaller disk of radius 1.9 m is attached to the wheel. A rope is wrapped around the edge of the disk as shown. An axis of rotation passes through the center of the wheel-disk system. What is the value of the mass M that will prevent the wheel from rotating? (a) 1.7 kg (d) 34 kg (b) 3.8 kg (e) 46 kg (c) 12 kg 14. Consider four point masses located as shown in the sketch. The acceleration due to gravity is the same everywhere. What is the x coordinate of the center of gravity for this system? (a) 2.0 m (c) 3.0 m (e) 3.8 m (b) 2.7 m (d) 3.3 m Review Exam 2-1653 - 15 -

17. Consider the following four objects: a hoop; a solid sphere; a flat disk; a hollow sphere Each of the objects has mass M and radius R. The axis of rotation passes through the center of each object, and is perpendicular to the plane of the hoop and the plane of the flat disk. Which object requires the largest torque to give it the same angular acceleration? (a) the hoop (d) the hollow sphere (b) the flat disk (e) both the solid and the hollow spheres (c) the solid sphere 20. A massless frame in the shape of a square with 2-m sides has a 1-kg ball at each corner. What is the moment of inertia of the four balls about an axis through the corner marked O and perpendicular to the plane of the paper? (a) 4 kg m 2 (b) 8 kg m 2 (c) 10 kg m 2 (d) 12 kg m 2 (e) 16 kg m 2 Review Exam 2-1653 - 16 -

22. The drawing shows the top view of a door that is 2 m wide. Two forces are applied to the door as indicated. What is the magnitude of the net torque on the door with respect to the hinge? (a) 0 N m (c) 8.7 N m (e) 26.0 N m (b) 5.0 N m (d) 10.0 N m 26. Three children are pulling on a rotatable platform on a playground. The platform has a radius of 3.65 m. In the picture, two children are pulling with equal forces of 40.0 N in an attempt to make the platform rotate clockwise. The third child applies a force of 60 N as shown. What is the net torque on the platform? Note: ccw is counterclockwise and cw is clockwise. (a) 73 N m, ccw (c) 511 N m, ccw (e) 0 N m (b) 73 N m, cw (d) 511 N m, cw Review Exam 2-1653 - 17 -

28. A 45-N brick is suspended by a light string from a 2.0-kg pulley. The brick is released from rest and falls to the floor below as the pulley rotates through 5.0 rad. The pulley may be considered a solid disk of radius 1.5 m. What is the angular speed of the pulley? (a) 7.3 rad/s (d) 15 rad/s (b) 8.1 rad/s (e) 17 rad/s (c) 9.4 rad/s 31. Consider the following three objects, each of the same mass and radius: (1) a solid sphere (2) a solid disk (3) a hoop All three are released from rest at the top of an inclined plane. The three objects proceed down the incline undergoing rolling motion without slipping. In which order do the objects reach the bottom of the incline? (a) 1, 2, 3 (c) 3, 1, 2 (e) All three reach the bottom (b) 2, 3, 1 (d) 3, 2, 1 at the same time. 34. A 2.0-kg solid cylinder of radius 0.5 m rotates at a rate of 40 rad/s about its cylindrical axis. What power is required to bring the cylinder to rest in 10 s? (a) 20 W (c) 160 W (e) 400 W (b) 40 W (d) 200 W Review Exam 2-1653 - 18 -

38. A ceiling fan has five blades, each with a mass of 0.34 kg and a length of 0.66 m. The fan is operating in its low setting at which the angular speed is 9.4 rad/s. If the blades can be approximated as uniform thin rods that rotate about one end, what is the total rotational kinetic energy of the five blades? (a) 35 J (c) 23 J (e) 11 J (b) 29 J (d) 17 J 41. What happens when a spinning ice skater draws in her outstretched arms? (a) Her angular momentum decreases. (b) Her angular momentum increases. (c) Her moment of inertia decreases causing her to speed up. (d) Her moment of inertia decreases causing her to slow down. (e) The torque that she exerts increases her moment of inertia. 44. A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 10 6 m. What is the angular momentum of the satellite in its orbit around the planet if the satellite completes one orbit every 1.5 10 4 s? (a) 3.9 10 6 kg m 2 /s (c) 6.2 10 8 kg m 2 /s (e) 2.4 10 13 kg m 2 /s (b) 1.4 10 14 kg m 2 /s (d) 8.1 10 11 kg m 2 /s Review Exam 2-1653 - 19 -

50. A 3.0-kg ball moves in a straight line at 10 m/s as shown in the figure. At the instant shown, what is its angular momentum about the point P? (a) 30 kg m 2 /s (b) 90 kg m 2 /s (c) 120 kg m 2 /s (d) 150 kg m 2 /s (e) zero kg m 2 /s Chapter 13 Review 4. The speed of sound in a certain metal block is 3.00 x 10 3 m/s. The graph shows the amplitude (in meters) of a wave traveling through the block versus time (in milliseconds). What is the wavelength of this wave? (a) 0.5 m (d) 4.0 m (b) 1.5 m (e) 6.0 m (c) 3.0 m 7. What is the wavelength of a wave with a speed of 12 m/s and a period of 0.25 s? (a) 0.25 m (c) 3.0 m (e) 48 m (b) 1.5 m (d) 24 m Review Exam 2-1653 - 20 -

7. Questions 9 through 12 pertain to the situation described below: The displacement of a vibrating string versus position along the string is shown in the figure. The periodic waves have a speed of 10.0 cm/s. A and B are two points on the string. 9. What is the amplitude of the wave? (a) 2 cm (b) 4 cm (c) 8 cm (d) 12 cm (e) 16 cm 10. What is the wavelength of the wave? (a) 3.0 cm (c) 9.0 cm (e) 15 cm (b) 6.0 cm (d) 12 cm 11. What is the frequency of the wave? (a) 0.60 Hz (c) 1.1 Hz (e) 1.7 Hz (b) 0.90 Hz (d) 1.3 Hz Review Exam 2-1653 - 21 -

12. What is the difference in phase between the points A and B? (a) (π/4) radians (c) π radians (e) 2π radians (b) (π/2) radians (d) (3π/4) radians 14. A steel wire of mass 0.400 kg and length 0.640 m supports a 102-kg block. The wire is struck exactly at its midpoint causing a small displacement. How long does it take the peak of this displacement to reach the top of the wire? (a) 2.00 x 10 3 s (d) 8.00 x 10 3 s (b) 4.00 x 10 3 s (e) 1.60 x 10 2 s (c) 6.00 x 10 3 s 15. A certain string on a piano is tuned to produce middle C (f = 261.63 Hz) by carefully adjusting the tension in the string. For a fixed wavelength, what is the frequency when this tension is doubled? (a) 130.08 Hz (c) 370.00 Hz (e) 523.26 Hz (b) 185.00 Hz (d) 446.63 Hz Review Exam 2-1653 - 22 -

17. A wave is traveling at 5.5 m/s on a string with a linear density of 0.082 kg/m. What is the tension in the string? (a) 0.20 N (c) 2.5 N (e) 6.3 N (b) 0.45 N (d) 4.4 N 18. A transverse periodic wave described by the expression (where y and x are in meters and t is in seconds) is established on a string. Which one of the following statements concerning this wave is false? (a) The wave is traveling in the negative x direction. (b) The amplitude is 1.0 m. (c) The frequency of the wave is 0.10 Hz. (d) The wavelength of this wave is 2.0 m. (e) The wave travels with speed 5.0 m/s. 20. A wave has an amplitude of 0.35 m, a frequency of 1.05 x10 6 Hz, and travels in the positive X-direction at the speed of light, 3.00 x 10 8 m/s. Which one of the following equations correctly represents this wave? (a) y = 0.35 sin (6.60 x 10 6 t + 0.022X) (d) y = 0.35 sin (286t + 1.05 x 10 6 X) (b) y = 0.35 sin (6.60 x 10 6 t + 0.022X) (e) y = 0.35 sin (1.05 x 10 6 t + 3.00 x 108X) (c) y = 0.35 sin (286t 1.05 x 10 6 X) Review Exam 2-1653 - 23 -

35. A bell produces sound energy at a rate of 4.00 x 10 3 W and radiates it uniformly in all directions. What is the intensity of the wave 100.0 m from the bell? (a) 3.18 x 10 8 W/m 2 (c) 5.02 x 10 2 W/m 2 (e) 6.28 x 10 7 W/m 2 (b) 3.14 x 10 7 W/m 2 (d) 5.02 x 10 2 W/m 2 37. During a typical workday (eight hours), the average sound intensity arriving at Larry s ear is 1.8 x 10 5 W/m 2. If the area of Larry s ear through which the sound passes is 2.1 x 10 3 m 2, what is the total energy entering each of Larry s ears during the workday? (a) 1.8 x 10 5 J (c) 7.4 x 10 4 J (e) 4.1 x 10 3 J (b) 2.2 x 10 4 J (d) 1.1 x 10 3 J 38. Two boys are whispering in the library. The radiated sound power from one boy s mouth is 1.2 x 10 9 W and it spreads out uniformly in all directions. What is the minimum distance the boys must be away from the librarian so that she will not be able to hear them? The threshold of hearing for the librarian is 1.00 x 10 12 W/m 2. (a) 100 m (c) 23 m (e) 9.8 m (b) 35 m (d) 16 m Review Exam 2-1653 - 24 -

40. The decibel level of a jackhammer is 130 db relative to the threshold of hearing. Determine the decibel level if two jackhammers operate side by side. (a) 65 db (c) 133 db (e) 260 db (b) 130 db (d) 144 db 42. At a distance of 5.0 m from a point sound source, the sound intensity level is 110 db. At what distance is the intensity level 95 db? (a) 5.0 m (c) 14 m (e) 42 m (b) 7.1 m (d) 28 m 43. According to US government regulations, the maximum sound intensity level in the workplace is 90.0 db. Within one factory, 32 identical machines produce a sound intensity level of 92.0 db. How many machines must be removed to bring the factory into compliance with the regulation? (a) 2 (c) 12 (e) 24 (b) 8 (d) 16 Review Exam 2-1653 - 25 -