Quizbank/Calculus Physics I/T3study

Quizbank/Calculus Physics I/T3study From Wikiversity CalcPhys1T3_Study If you are reading this as a Wikiversity page, proper pagebreaks should result if printed using your browser's print option. On Chrome, Explorer, and Firefox, this option is available in the upper right hand corner of your screen. But, pagebreaks do not render properly if you use "Printable version" on Wikiversity's Print/export option on the left hand sidebar. This document contains either a study guide OR pairs of exams taken from the same exam bank If two exams have the same s number, then v1 and v2 have the same questions, presented in different (random) order. Exams with different s numbers have different questions and may not have the same difficulty. Click items in the table of contents and appropriate page should be reached. This feature should allow you to print only those pages that you need. At the end of this document Attribution for the quizzes identifies where the questions were obtained Study guide links reading materials and/or relevant equations. https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 1/20

CalcPhys1T3_Study v1s1 1. If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest? a) 4.44 m b) 4.67 m c) 4.90 m d) 5.15 m e) 5.40 m 2. The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest? a) 1.26E+02 m b) 1.33E+02 m c) 1.39E+02 m d) 1.46E+02 m e) 1.54E+02 m 3. What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?, a) 2.88 m b) 3.02 m c) 3.17 m d) 3.33 m e) 3.50 m https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 2/20

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest? a) 1.143 kg b) 1.200 kg c) 1.260 kg d) 1.323 kg e) 1.389 kg 5. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression? a) 2.46 m b) 2.63 m c) 2.81 m d) 3.01 m e) 3.22 m 6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill? a) 1.022 m/s b) 1.084 m/s c) 1.149 m/s d) 1.218 m/s e) 1.291 m/s https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 3/20

7. Integrate the line integral of,, along the y axis from y = 5 to y = 12 a) 3.32E+04 b) 3.56E+04 c) 3.81E+04 d) 4.07E+04 e) 4.36E+04 8. Integrate the function,, along the first quadrant of a circle of radius 4 a) 1.02E+05 b) 1.09E+05 c) 1.17E+05 d) 1.25E+05 e) 1.34E+05 9. Integrate the line integral of from the origin to the point at x = 2.1 and y = 3.2 a) 4.18E+01 b) 4.48E+01 c) 4.79E+01 d) 5.12E+01 e) 5.48E+01 https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 4/20

10. Integrate the function,, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule a) 4.76E 01 b) 5.10E 01 c) 5.45E 01 d) 5.83E 01 e) 6.24E 01 11. On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.) a) 1.95m/s. b) 2.34m/s. c) 2.81m/s. d) 3.38m/s. e) 4.05m/s. 12. A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck? a) 3326 kg b) 3991 kg c) 4789 kg d) 5747 kg e) 6896 kg https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 5/20

13. A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet? a) 44 m/s. b) 47 m/s. c) 50 m/s. d) 54 m/s. e) 57 m/s. 14. A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.5 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string? a) 3.59E+01 N b) 4.52E+01 N c) 5.69E+01 N d) 7.16E+01 N e) 9.02E+01 N 15. In the figure shown, L 1 = 5.9m, L 2 = 3.1m and L 3 = 7.4m. What is F 1 if F 2 =9.1N and F 3 =5.9N? a) 8.30E+00 N b) 1.01E+01 N c) 1.22E+01 N d) 1.48E+01 N e) 1.79E+01 N https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 6/20

16. A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.8 degrees above the horizontal. An object of mass, M = 8.9kg is suspended at a length, L = 5.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar? a) 9.31E+01 N b) 1.13E+02 N c) 1.37E+02 N d) 1.65E+02 N e) 2.01E+02 N 17. In the figure shown, L 1 = 6.1m, L 2 = 4m and L 3 = 7.5m. What is F 2 if F 1 =0.74N and F 3 =0N? a) 6.35E 01 N b) 7.69E 01 N c) 9.31E 01 N d) 1.13E+00 N e) 1.37E+00 N 18. A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar? a) 2.13E+01 N b) 2.59E+01 N c) 3.13E+01 N d) 3.80E+01 N e) 4.60E+01 N https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 7/20

19. A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel? a) 5.35 x 10 0 m b) 6.49 x 10 0 m c) 7.86 x 10 0 m d) 9.52 x 10 0 m e) 1.15 x 10 1 m 20. A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia? a) 3.15 x 10 1 kg m 2 /s 2 b) 3.81 x 10 1 kg m 2 /s 2 c) 4.62 x 10 1 kg m 2 /s 2 d) 5.6 x 10 1 kg m 2 /s 2 e) 6.78 x 10 1 kg m 2 /s 2 21. A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis? a) 3.78 x 10 0 J b) 4.58 x 10 0 J c) 5.55 x 10 0 J d) 6.73 x 10 0 J e) 8.15 x 10 0 J https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 8/20

22. The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR 2. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration? a) 8.4 x 10 0 s 2 b) 1.02 x 10 1 s 2 c) 1.23 x 10 1 s 2 d) 1.49 x 10 1 s 2 e) 1.81 x 10 1 s 2 23. A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder? 2.83E4 Pa 3.43E4 Pa 4.16E4 Pa 5.03E4 Pa 6.10E4 Pa https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 9/20

24. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force? 6.97E3 N 8.44E3 N 1.02E4 N 1.24E4 N 1.50E4 N 25. A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface? 4.01E3 N 5.04E3 N 6.35E3 N 7.99E3 N 1.01E4 N 26. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder? 3.02E4 Pa 3.81E4 Pa 4.79E4 Pa 6.03E4 Pa 7.59E4 Pa https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 10/20

Key to CalcPhys1T3_Study v1s1 1. If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest? a) 4.44 m b) 4.67 m + c) 4.90 m d) 5.15 m e) 5.40 m 2. The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest? + a) 1.26E+02 m b) 1.33E+02 m c) 1.39E+02 m d) 1.46E+02 m e) 1.54E+02 m 3. What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?, a) 2.88 m b) 3.02 m c) 3.17 m d) 3.33 m + e) 3.50 m https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 11/20

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest? + a) 1.143 kg b) 1.200 kg c) 1.260 kg d) 1.323 kg e) 1.389 kg 5. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression? + a) 2.46 m b) 2.63 m c) 2.81 m d) 3.01 m e) 3.22 m 6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill? a) 1.022 m/s b) 1.084 m/s c) 1.149 m/s d) 1.218 m/s + e) 1.291 m/s https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 12/20

7. Integrate the line integral of,, along the y axis from y = 5 to y = 12 a) 3.32E+04 b) 3.56E+04 c) 3.81E+04 + d) 4.07E+04 e) 4.36E+04 8. Integrate the function,, along the first quadrant of a circle of radius 4 a) 1.02E+05 b) 1.09E+05 c) 1.17E+05 + d) 1.25E+05 e) 1.34E+05 9. Integrate the line integral of from the origin to the point at x = 2.1 and y = 3.2 a) 4.18E+01 + b) 4.48E+01 c) 4.79E+01 d) 5.12E+01 e) 5.48E+01 https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 13/20

10. Integrate the function,, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule a) 4.76E 01 b) 5.10E 01 c) 5.45E 01 + d) 5.83E 01 e) 6.24E 01 11. On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.) a) 1.95m/s. b) 2.34m/s. +c) 2.81m/s. d) 3.38m/s. e) 4.05m/s. 12. A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck? +a) 3326 kg b) 3991 kg c) 4789 kg d) 5747 kg e) 6896 kg https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 14/20

13. A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet? a) 44 m/s. b) 47 m/s. +c) 50 m/s. d) 54 m/s. e) 57 m/s. 14. A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.5 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string? a) 3.59E+01 N b) 4.52E+01 N c) 5.69E+01 N d) 7.16E+01 N +e) 9.02E+01 N 15. In the figure shown, L 1 = 5.9m, L 2 = 3.1m and L 3 = 7.4m. What is F 1 if F 2 =9.1N and F 3 =5.9N? a) 8.30E+00 N b) 1.01E+01 N +c) 1.22E+01 N d) 1.48E+01 N e) 1.79E+01 N https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 15/20

16. A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.8 degrees above the horizontal. An object of mass, M = 8.9kg is suspended at a length, L = 5.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar? a) 9.31E+01 N b) 1.13E+02 N +c) 1.37E+02 N d) 1.65E+02 N e) 2.01E+02 N 17. In the figure shown, L 1 = 6.1m, L 2 = 4m and L 3 = 7.5m. What is F 2 if F 1 =0.74N and F 3 =0N? a) 6.35E 01 N b) 7.69E 01 N c) 9.31E 01 N +d) 1.13E+00 N e) 1.37E+00 N 18. A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar? +a) 2.13E+01 N b) 2.59E+01 N c) 3.13E+01 N d) 3.80E+01 N e) 4.60E+01 N https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 16/20

19. A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel? a) 5.35 x 10 0 m b) 6.49 x 10 0 m +c) 7.86 x 10 0 m d) 9.52 x 10 0 m e) 1.15 x 10 1 m 20. A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia? +a) 3.15 x 10 1 kg m 2 /s 2 b) 3.81 x 10 1 kg m 2 /s 2 c) 4.62 x 10 1 kg m 2 /s 2 d) 5.6 x 10 1 kg m 2 /s 2 e) 6.78 x 10 1 kg m 2 /s 2 21. A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis? a) 3.78 x 10 0 J b) 4.58 x 10 0 J c) 5.55 x 10 0 J +d) 6.73 x 10 0 J e) 8.15 x 10 0 J https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 17/20

22. The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR 2. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration? a) 8.4 x 10 0 s 2 b) 1.02 x 10 1 s 2 c) 1.23 x 10 1 s 2 +d) 1.49 x 10 1 s 2 e) 1.81 x 10 1 s 2 23. A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder? 2.83E4 Pa + 3.43E4 Pa 4.16E4 Pa 5.03E4 Pa 6.10E4 Pa https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 18/20

24. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force? 6.97E3 N 8.44E3 N + 1.02E4 N 1.24E4 N 1.50E4 N 25. A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface? 4.01E3 N 5.04E3 N + 6.35E3 N 7.99E3 N 1.01E4 N 26. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder? + 3.02E4 Pa 3.81E4 Pa 4.79E4 Pa 6.03E4 Pa 7.59E4 Pa https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 19/20

Attribution (for quiz questions) under CC by SA license https://en.wikiversity.org/w/index.php?title=physics_equations/07 Work_and_Energy/Q:cart1&oldid=1380215 https://en.wikiversity.org/w/index.php?title=physics_equations/07 Work_and_Energy/Q:cart2&oldid=1380821 http://en.wikiversity.org/w/index.php? title=quizbank/college_physics/a07energy_lineintegral&oldid=1381800 http://en.wikiversity.org/w/index.php?title=physics_equations/18 Electric_charge_and_field/Q:findE&oldid=1378605 Study guide http://en.wikiversity.org/wiki/physics_equations/sheet/all_chapters https://en.wikiversity.org/wiki/physics_equations/sheet/all_chapters Retrieved from "https://en.wikiversity.org/w/index.php? title=quizbank/calculus_physics_i/t3study&oldid=1446457" This page was last modified on 9 October 2015, at 18:36. Text is available under the Creative Commons Attribution ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. https://en.wikiversity.org/wiki/quizbank/calculus_physics_i/t3study 20/20