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Version 001 – second semester final practice – gleue – (315192) This print-out should have 75 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. Holt SF 04Rev 12 001 (part 1 of 2) 10.0 points A dog pulls on a pillow with a force of 4.5 N at an angle of 36.2◦ above the horizontal a) What is the x component of this force? Correct answer: 3.63132 N. 002 (part 2 of 2) 10.0 points b) What is the y component of this force? force on the ball? Correct answer: 111.278 N. 005 (part 2 of 2) 10.0 points b) What is the direction of the resultant force (measured from East)? Correct answer: 33.1189◦ . Hewitt CP9 02 E21 006 10.0 points A hockey puck slides across the ice at a constant speed. Which of the following is true? Correct answer: 2.65773 N. 1. None of these Tennis Ball 003 10.0 points Despite a very strong wind, a tennis player manages to hit a tennis ball with her racquet so that the ball passes over the net and lands in her opponent’s court. Consider the following forces: 1. A downward force of gravity, 2. A force by the hit, and 3. A force exerted by the air. Which of the above forces is (are) acting on the tennis ball after it has left contact with the racquet and before it touches the ground? 2. The puck is at rest. 1. 1, 2, and 3. 2. 1 and 2. 3. 2 and 3. 4. 1 and 3. correct 5. 1 only. Force on a Soccer Ball 004 (part 1 of 2) 10.0 points Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 60.8 N to the north. Jenny’s foot exerts a force of 93.2 N to the east. a) What is the magnitude of the resultant 1 3. The puck is moving and thus not in equilibrium. 4. The puck can be considered neither at rest nor in equilibrium. 5. It is in equilibrium. correct Holt SF 04A 01 graph 007 (part 1 of 2) 10.0 points A man is pulling on a rope with a force of 89 N directed at an angle of 36◦ to the horizontal. What is the x-component of this force? Draw the vectors to scale on a graph to determine the answer. Your answer must be within ± 5.0% Correct answer: 72 N. 008 (part 2 of 2) 10.0 points What is the y-component of this force? Your answer must be within ± 5.0% Correct answer: 52 N. Holt SF 04Rev 10 009 (part 1 of 2) 10.0 points Four forces act on a hot-air balloon, as shown from the side. Version 001 – second semester final practice – gleue – (315192) 734 N 2 Force Comparison 02 012 10.0 points 416 N 261 N 282 N Consider a person standing in an elevator that is accelerating downward. The person of mass m has two forces acting upon him: the downward force m g due to gravity and the upward supporting force n exerted by the floor of the elevator. ~a ~n m~g Find the magnitude of the resultant force on the balloon. Which force has the largest magnitude? Correct answer: 477.838 N. 1. n 010 (part 2 of 2) 10.0 points Find the direction of the resultant force (measured from the 416 N force, with up positive). 2. m g correct Correct answer: 71.0721◦. 4. If a is downward, m g = 0. Braking Distance 011 10.0 points A 2000 kg car experiences a constant braking force of 10,000 N, and comes to be a stop in 6 sec. What would be the distance traveled by the car in coming to rest? 5. None of these 1. 60 m 2. 90 m correct 3. None of these 3. They have the same magnitude. 6. If a is downward, n = 0. Holt SF 04Rev 50 013 10.0 points A 4.6 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s2 . If the upward acceleration of the bucket is 2.8 m/s2 , find the force exerted by the rope on the bucket of water. Correct answer: 58.006 N. 4. 180 m 5. 300 m 6. 250 m 7. 200 m Serway CP 04 07 014 10.0 points Then air exerts a forward force of 7 N on the propeller of a 0.27 kg model airplane. If the plane accelerates forward at 1.7 m/s2 , what is the magnitude of the resistive force Version 001 – second semester final practice – gleue – (315192) 3 exerted by the air on the airplane? What is the mass on the moon? Correct answer: 6.541 N. Correct answer: 18 kg. Serway CP 04 11 015 (part 1 of 3) 10.0 points A boat moves through the water with two forces acting on it. One is a 2246 N forward push by the motor on the propeller, and the other is an 1946 N resistive force due to the water around the bow. What is the acceleration of the 1105 kg boat? Suspended in an Elevator 022 (part 1 of 2) 10.0 points The tension in a string from which a 7.6 kg object is suspended in an elevator is equal to 75 N. What is magnitude of the acceleration a of the elevator? The acceleration of gravity is 9.8 m/s2 . 2 Correct answer: 0.0684211 m/s2 . Correct answer: 0.271493 m/s . 016 (part 2 of 3) 10.0 points If it starts from rest, how far will it move in 11.2 s? 023 (part 2 of 2) 10.0 points What is its direction? 1. upward correct Correct answer: 17.0281 m. 2. downward 017 (part 3 of 3) 10.0 points What will its velocity be at the end of this time interval? 3. not moving Correct answer: 3.04072 m/s. Hewitt CP9 04 E15 018 (part 1 of 4) 10.0 points 1 Gravity on the surface of the moon is only 6 as strong as gravity on the Earth. What is the weight of a 18 kg object on the Earth? The acceleration of gravity is 10 m/s2 . Correct answer: 180 N. Static Equilibrium 03 024 (part 1 of 2) 10.0 points The 7.1 N weight is in equilibrium under the influence of the three forces acting on it. The F1 force acts from above on the left at an angle of 28◦ with the horizontal. The F2 force acts from above on the right at an angle of 40◦ with the horizontal. The 7.1 N force acts straight down. 28 ◦ F1 ◦ 7.1 N 019 (part 2 of 4) 10.0 points What is the weight on the moon? Correct answer: 30 N. F2 40 7.1 N 020 (part 3 of 4) 10.0 points What is the mass on the earth? Note: F1 and F2 are not to scale. What is the magnitude of the force F2 , as shown in the figure above? Correct answer: 18 kg. Correct answer: 6.76126 N. 021 (part 4 of 4) 10.0 points 025 (part 2 of 2) 10.0 points Version 001 – second semester final practice – gleue – (315192) F What is the magnitude of the force F1 , as shown in the figure above? F 8N 10 54 N 60◦ 2.4 kg If the surface is frictionless, what is the magnitude of the resulting acceleration? Correct answer: 0.659915 m/s2 . Pushing a Lawnmower 030 10.0 points A woman pushes a 15 kg lawnmower at a steady speed. She exerts a 140 N force in a direction 30◦ below the horizontal. The acceleration of gravity is 9.8 m/2 . 14 What is the magnitude of the resulting acceleration of the block? The acceleration of gravity is 9.8 m/s2 . Correct answer: 0 m/s2 . Forces on a Skier 027 (part 1 of 2) 10.0 points A skier of mass 62.9 kg comes down a slope of constant angle 25◦ with the horizontal. What is the force on the skier parallel to the slope? The acceleration of gravity is 9.8 m/s2 . ◦ 61 63 kg Correct answer: 5.86606 N. Angled Force on a Block 01 026 10.0 points The horizontal surface on which the block of mass 2.4 kg slides is frictionless. The force of 54 N acts on the block in a horizontal direction and the force of 108 N acts on the block at an angle as shown below. 4 0N 30◦ 15 kg Find the magnitude of the vertical force this lawnmower exerts on the lawn. Correct answer: 217 N. Block Sliding Down 02 031 (part 1 of 2) 10.0 points A block starts from rest at a height of 7.1 m on a fixed inclined plane. Correct answer: 260.51 N. 028 (part 2 of 2) 10.0 points What force normal to the slope is exerted by the skis? 5. 6 kg µ= 0. 1 8 32◦ Correct answer: 558.666 N. Pulling a Block 029 10.0 points ~ is 28 N, the The magnitude of the vectors F force on the right is applied at an angle 61 ◦ and the the mass of the block is 63 kg. What is the speed of the block at the bottom of the ramp? The acceleration of gravity is 9.8 m/s2 . This problem requires a train of logic: (1) Analyze force diagram, (2) use Newton’s Laws, and Version 001 – second semester final practice – gleue – (315192) (3) solve the equations of motion. Correct answer: 9.95357 m/s. 032 (part 2 of 2) 10.0 points If the block continues to slide on the ground with the same coefficient of friction, how far will the block slide on the ground until coming to rest? 250 N 25 0N 5 31◦ 18 kg µ = 0.29 What is the magnitude of the resulting acceleration? Correct answer: 25.0264 m/s2 . Correct answer: 28.0821 m. Down a Plane 02 033 (part 1 of 3) 10.0 points A block of mass 12 kg starts from rest and slides a distance of 9 m down an inclined plane making an angle of 40◦ with the horizontal. The coefficient of sliding friction between block and plane is 0.4. The acceleration of gravity is 9.8 m/s2 . What is the net force on the block along the incline? Correct answer: 39.5571 N. 034 (part 2 of 3) 10.0 points What is the speed of the block after sliding 9 m? Correct answer: 7.70297 m/s. 035 (part 3 of 3) 10.0 points What would be its speed if friction were negligible? Correct answer: 10.6484 m/s. Forces Accelerating a Block 036 10.0 points The magnitude of each force is 250 N, the force on the right is applied at an angle 31 ◦ and the mass of the block is 18 kg. The coefficient of friction is 0.29. The acceleration of gravity is 9.8 m/s2 . Holt SF 04C 01 037 10.0 points Once a 28 kg crate is in motion on a horizontal floor, a horizontal force of 51 N keeps the crate moving with a constant velocity. The acceleration of gravity is 9.81 m/s2 . What is µk , the coefficient of kinetic friction, between the crate and the floor? Correct answer: 0.185671. Holt SF 04D 01 02 038 (part 1 of 2) 10.0 points A student moves a box of books down the hall by pulling on a rope attached to the box. The student pulls with a force of 180 N at an angle of 20.7◦ above the horizontal. The box has a mass of 29.5 kg, and µk between the box and the floor is 0.24. The acceleration of gravity is 9.81 m/s2 . Find the acceleration of the box. Correct answer: 3.87103 m/s2 . 039 (part 2 of 2) 10.0 points Now the student moves the box up a ramp (with the same coefficient of friction) inclined at 10.4◦ with the horizontal. b) If the box starts from rest at the bottom of the ramp and is pulled at an angle of 20.7◦ with respect to the incline and with the same 180 N force, what is the acceleration up the ramp? Correct answer: 2.13881 m/s2 . Holt SF 04Rev 55 040 (part 1 of 4) 10.0 points Version 001 – second semester final practice – gleue – (315192) A 3.82 kg block starts from rest at the top of a 27.5◦ incline and accelerates uniformly down the incline, moving 2.45 m in 1.24 s. The acceleration of gravity is 9.81 m/s2 . a) What is the magnitude of the acceleration of the block? Correct answer: 3.18678 m/s2 . 041 (part 2 of 4) 10.0 points b) What is the coefficient of kinetic friction between the block and the incline? Correct answer: 0.154336. 042 (part 3 of 4) 10.0 points c) What is the magnitude of the frictional force acting on the block? Correct answer: 82.32 J. Conceptual 08 17 047 (part 1 of 2) 10.0 points Lora (of mass 44 kg) is an expert skier. She starts at 2.3 m/s at the top of the lynx run, which is 63 m above the bottom. What is her final kinetic energy at the bottom of the ski run? Correct answer: 27282 J. 048 (part 2 of 2) 10.0 points What is her speed at the bottom? Correct answer: 35.2149 m/s. Girl on Swing 03 049 10.0 points Correct answer: 5.13014 N. 043 (part 4 of 4) 10.0 points d) What is the speed of the block after it slides the distance of 2.45? 6 A girl swings on a playground swing in such a way that at her highest point she is 2.8 m from the ground, while at her lowest point she is 0.5 m from the ground. Correct answer: 3.95161 m/s. Holt SF 05Rev 19 20 044 (part 1 of 2) 10.0 points a) What is the kinetic energy of an automobile with a mass of 1209 kg traveling at a speed of 12 m/s? Correct answer: 87048 J. 045 (part 2 of 2) 10.0 points b) What speed would a fly with a mass of 0.621 g need in order to have the same kinetic energy as the automobile? Correct answer: 16743.6 m/s. Lifting a Bowling Ball 046 10.0 points A 5.6 kg bowling ball is lifted 1.5 m into a storage rack. The acceleration of gravity is 9.8 m/s2 . Calculate the increase in the ball’s potential energy. 7.4 m 2.8 m 0.5 m What is her maximum speed? The acceleration due to gravity is 9.8 m/s2 . Correct answer: 6.71416 m/s. Holt SF 06A 01 050 10.0 points An ostrich with a mass of 160 kg is running to the right with a velocity of 18 m/s. Find the momentum of the ostrich. Correct answer: 2880 kg · m/s. Holt SF 06A 03 051 10.0 points Version 001 – second semester final practice – gleue – (315192) What velocity must a car with a mass of 1280 kg have in order to have the same momentum as a 2190 kg pickup truck traveling at 29 m/s to the east? 7 m/s to the north collides with and sticks to another railroad car of the same mass that is moving in the same direction at 1.84 m/s. What is the velocity of the joined cars after the collision? Correct answer: 49.6172 m/s. Correct answer: 4.77 m/s. Drag Racer 02 052 (part 1 of 2) 10.0 points An 825 kg drag race car accelerates from rest to 120 km/h in 0.844 s. What change in momentum does the force produce? Hewitt CP9 23 P02 058 10.0 points A certain device in a 120 V circuit has a current rating of 20 A . Find the resistance of the device. Correct answer: 27500 kg · m/s. Correct answer: 6 Ω. 053 (part 2 of 2) 10.0 points What average force is exerted on the car? Correct answer: 32583 N. Holt SF 06D 03 054 (part 1 of 3) 10.0 points Each croquet ball in a set has a mass of 0.54 kg. The green ball, traveling at 11.0 m/s, strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless surface and all collisions are head-on, find the final speed of the blue ball in each of the following situations: a) The green ball stops moving after it strikes the blue ball. Correct answer: 11 m/s. Holt SF 19B 02 059 10.0 points A stereo with a resistance of 56 Ω is connected across a potential difference of 111 V . What is the current in this device? Correct answer: 1.98214 A. Holt SF 20A 02 060 (part 1 of 3) 10.0 points A 5.0 Ω, an 11 Ω and an 11.0 Ω resistor are connected in series with a 12.0 V battery. Calculate the equivalent resistance. Correct answer: 27 Ω. 061 (part 2 of 3) 10.0 points What is the current in the circuit? 055 (part 2 of 3) 10.0 points b) The green ball continues moving after the collision at 2.0 m/s in the same direction. Correct answer: 0.444444 A. Correct answer: 9 m/s. 062 (part 3 of 3) 10.0 points What is the current in each resistor? 056 (part 3 of 3) 10.0 points c) The green ball continues moving after the collision at 0.7 m/s in the same direction. Correct answer: 10.3 m/s. Holt SF 06E 03 057 10.0 points A 1.20 × 104 kg railroad car moving at 7.70 Correct answer: 0.444444 A. Holt SF 20A 04 063 (part 1 of 4) 10.0 points A series combination of two resistors, 9.34 Ω and 4.90 Ω, is connected to a 6.00 V battery. Calculate the equivalent resistance of the circuit. Version 001 – second semester final practice – gleue – (315192) Correct answer: 14.24 Ω. 064 (part 2 of 4) 10.0 points Calculate the current in the circuit. 9.0 Ω 9.0 Ω What is its equivalent resistance? Correct answer: 18 Ω. Correct answer: 0.421348 A. 065 (part 3 of 4) 10.0 points What is the potential difference across the 9.34 Ω resistor? Correct answer: 3.93539 V. 066 (part 4 of 4) 10.0 points What is the potential difference across the 4.90 Ω resistor? Correct answer: 2.06461 V. Holt SF 20B 04 067 (part 1 of 4) 10.0 points A 19.0 Ω, 12.0 Ω, and 6.00 Ω resistor are connected in parallel to an emf source. A current of 7.00 A is in the 12.0 Ω resistor. Calculate the equivalent resistance of the circuit. Correct answer: 3.30435 Ω. 068 (part 2 of 4) 10.0 points What is the potential difference across the source? 072 (part 2 of 5) 10.0 points 9.0 Ω 9.0 Ω What is the equivalent resistance? Correct answer: 4.5 Ω. 073 (part 3 of 5) 10.0 points 9.0 Ω 9.0 Ω 9.0 Ω What is the equivalent resistance? Correct answer: 3 Ω. 074 (part 4 of 5) 10.0 points 9.0 Ω 9.0 Ω 9.0 Ω What is the equivalent resistance? Correct answer: 84 V. Correct answer: 6 Ω. 069 (part 3 of 4) 10.0 points Calculate the current in the 19.0 Ω resistor. Correct answer: 4.42105 A. 070 (part 4 of 4) 10.0 points Calculate the current in the 6.00 Ω resistor. Correct answer: 14 A. Holt SF 20Rev 35 071 (part 1 of 5) 10.0 points Consider the circuit 075 (part 5 of 5) 10.0 points What is the equivalent resistance? 9.0 Ω 9.0 Ω 9.0 Ω What is the equivalent resistance? Correct answer: 13.5 Ω. 8