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Physics 11 specification grid and model questions
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1. Exercise 4.1 Check your answers against those in the ANSWER section. Listed below are the selling prices (in thousands of dollars) of a sample of 20 vehicles sold by salespeople employed by Ray Steele Auto Group in Albuquerque, New Mexico. a. Sort the data from low to high. b. Draw a dot plot for the data. 26 21 18 22 29 28 28 25 28 24 30 22 35 35 25 35 25 20 37 26
2. Exercise 4.2 Check your answers against those in the ANSWER section. The Jansen Motor Company has developed a new engine to further reduce gasoline consumption. The new engine was put in 20 mid-sized cars and the number of miles per gallon recorded (to the nearest mile per gallon). Use the Jansen Motor Company data to construct a stem-and- leaf chart. 29 32 20 30 39 27 28 21 36 20 27 18 32 37 29 30 23 25 19 30 Exercise 4.3
3. Check your answers against those in the ANSWER section. Listed to the right are the selling prices (in thousands of dollars) for a sample of 19 lakeside lots in Pinnacle Peak, a vacation home community in the Blue Ridge mountains. Determine the following: a. the first quartile b. the third quartile c. the median d. Draw a box plot for the data. 86 61 148 81 39 142 140 65 28 85 90 92
4. 25 50 85 85 82 120 137 Exercise 4.4 Check your answers against those in the ANSWER section. An automobile dealership pays its salespeople a salary plus a commission on sales. The mean biweekly commission is \$1385, the median \$1330, and the standard deviation \$75. a. Is the distribution of commissions positively skewed, negatively skewed, or symmetrical? b. Compute the coefficient of skewness to verify your answer. Exercise 4.5 Check your answers against those in the ANSWER section. The fuel tank capacity in gallons and the cruising range is given for 6 SUV’s. a.
5. Develop a scatter diagram for the data. b. How would you characterize the relationship between fuel tank capacity and cruising range? Capacity in gallons Cruising range in miles 22 445 21 405 23 410 24 420
6. 24 365 25 380 Work Gender place Male female Total Home 8 14 22 office 12 6 18 Total 20 20 40 Exercise 4.6 Check your answers against those in the ANSWER section.
7. Use the contingency table in Problem 7 to answer the following: a. What percent of the males work at home? b. What percent of the males work at the office? c. What percent of the employees work at the office? Phy 2201 page - 1 - Physics 2201 Homework III part 2. Fall 2015. Due: Tuesday November 17, 2015
8. Show all work with clear setup and/or explain all answers. All solutions must be based on work and/or energy methods. 10 points each. Partial credit is available. 1) A 1.4 kg
9. falling object (subject to the effects of aerodynamic drag) is 1800 m high, traveling at 34 m/s and has not yet reached terminal speed. It first reaches terminal speed at a height of 1340
10. m and the terminal speed is 37.3 m/s. a) Determine if the mechanical energy ( � E = K + Ug) of the system consisting of the falling object and Earth’s gravity field has been
11. conserved during the fall from 1800 m to 500 m. b) How much work (if any) including the correct sign (+ or -­‐) has been done on the system over this
12. interval (presumably by the external drag force)? c) Will the energy of the system consisting of the object, the gravity field and the surrounding air be conserved over this interval? Explain your answer. Is
13. there an additional energy that must be accounted for in this analysis? What is it and how much of it has been generated? Note: terminal speed is a constant speed.
14. 2) The 0.2 kg box below slides down a curved ramp, jumps a small gap and lands on a flat platform. At the point on the ramp shown it is 1.5 m above the floor
15. and its speed is 2.0 m/s. At the point shown on the platform the box is 0.4 m above the floor and sliding at 4.2 m/s. a) If we consider a system
16. consisting of the box and Earth’s gravity field so that � E = K + Ug , has the energy of this system been conserved during the described process? Explain how you know. b) If we
17. consider the exact same process but broaden our system definition so that � E = K + Ug + Eother and � Eother includes any “other” form of energy that might have been produced
18. through the process (most of it is thermal), what objects are included in this system? Discuss, don’t just state a list. c) Determine � ΔEother for the process as described.
19. d) How much kinetic energy would the box have on the platform if � ΔEother = 0 ? Phy 2201 page - 2 - 3) The system below consists of two masses attached through a string of negligible mass over a pulley that turns with negligible friction. � m1 > m2 and the sphere
20. � m2 is immersed in a viscous fluid that exerts a considerable drag force. Starting from rest the system is set into motion by releasing � m1 which causes this mass to descend while the other rises (assume the string instantly becomes taut). In what follows analyze the motion by defining the “system” as both masses and Earth’s gravity field. a) Once released each mass travels a distance � h1 and somewhere during this interval both masses reach terminal speed � VT . Write out (derive/formulate) a mathematical expression for the change of the potential energy of the system over this interval (Using the givens! Don’t make up numbers or define your own variable names.) Has the system gained or lost potential energy? Explain how you know. b) Write out (derive/formulate) a mathematical expression for the change in the kinetic energy of the system over the �
21. h1 interval (using the givens). Write out an expression for the work done by the drag force over this interval using the givens. c) Following the � h1 interval the system moves a distance � h2 while the sphere is still immersed in the fluid. Write out an expression for the work done by the drag force over this interval. Can you tell from this expression if the work done by drag is positive or negative? (You should.) Which is it and how do you know? d) If � h1 = h2 over which interval does the drag force do more work in an absolute value sense? How do you know? Phy 2201 page - 3 - 4) A 48 kg diver jumps off a cliff (with a running start) into the ocean. The cliff is 50 m above the ocean below. Her coach, using a video of the dive, determines that at a point in
22. flight when she has risen 0.7 m above the cliff, her speed1 (center of mass) is 0.5 m/s. Frictional effects such as drag are negligible. Formulate your solution using the diver and Earth’s gravity field as a system. Gravity does not do work on this system. It’s effects are captured in changes in potential energy. a) How much kinetic energy did she have at takeoff? What was her speed? b) How much kinetic energy will she have as she splashes into the ocean? c) What minimum amount of chemical energy needed to be consumed within the diver’s body in order for her to walk to the cliff, from ocean level, and then take off (jump)? Explain how you know. 1 Includes both x and y velocity components. This is not the highest point in the jump.
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