HW_Chapter_5

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12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 1/9 HW Chapter 5 Due: 11:59pm on Monday, November 6, 2023 You will receive no credit for items you complete after the assignment is due. Grading Policy Two Masses, a Pulley, and an Inclined Plane Block 1, of mass , is connected over an ideal (massless and frictionless) pulley to block 2, of mass , as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude and that the coefficient of kinetic friction between block 2 and the plane is . Part A Find the ratio of the masses . Express your answer in terms of some or all of the variables , , and , as well as the magnitude of the free-fall acceleration . Hint 1. Draw a free-body diagram Which figure depicts the correct free-body diagrams for the blocks in this problem? Figure a)
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 2/9 Figure b) Figure c) ANSWER: Hint 2. Apply Newton's 2nd law to block 2 in the direction parallel to the incline What is Newton's 2nd law for block 2 in the direction parallel to the incline? (Assume the positive direction is going up the incline.) Express your answer in terms of , , , and , as well as the magnitude of the free-fall acceleration . ANSWER: a b c =
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 3/9 Hint 3. Find an expression for the friction force What is the magnitude of the friction force acting on block 2? ANSWER: Hint 4. Find the normal force By applying Newton's 2nd law to block 2 in the direction perpendicular to the incline determine the magnitude of the normal force . Express your answer in terms of and , as well as the magnitude of the free-fall acceleration . ANSWER: Hint 5. Apply Newton's 2nd law to block 1 in the vertical direction Write an expression for Newton's 2nd law in the vertical direction for block 1. Take the positive direction to point downward. Express your answer in terms of the variables and/or , as well as the magnitude of the free-fall acceleration . ANSWER: Hint 6. Solve for the unknown tension Using your result from the previous hint, express in terms of , , and . ANSWER: Hint 7. Putting it all together By applying Newton's law to both block 1 and block 2, as you did in Hints 2 and 4, you found two equations where the masses , , the tension , and the acceleration , all appear, along with and . (Note that the friction force can be expressed in terms of the normal force, which, in turn, can be written as , as you found in Hint 3.) Choose one of the two equation and solve for ; substitute this result into the other equation. You will then have an equation with factors of and . You can then deduce the ratio. = = =
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12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 4/9 ANSWER: Correct Problem 5.15 The girl and sled in have a combined mass of 31 . The coefficient of kinetic friction between the sled and the snow is 0.12. Part A If you push the sled, as in part (a) of the figure, at an angle of 25 , what magnitude of force is needed to maintain the sled’s motion at a constant speed? Express your answer with the appropriate units. ANSWER: Correct Part B If you pull the sled, as in part (b) of the figure, at an angle of 25 , what magnitude of force is needed to maintain the sled’s motion at a constant speed? Express your answer with the appropriate units. ANSWER: = = 43
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 5/9 Correct Problem 5.31 A 2.5- block is placed on a table as shown in . The coefficient of kinetic friction between the block and the table is 0.35. The block is connected by massless ropes over pulleys (whose mass and friction can be ignored) to a 5.0- block on the right, and a 3.0- block on the left. Part A Find the acceleration of the block on the table if it is moving to the right. Express your answer with the appropriate units. ANSWER: Correct Problem 5.24 A 75- snowboarder has an initial velocity of 5.0 at the top of a 28 incline. After sliding down the 110- long incline (on which the coefficient of kinetic friction is = 0.18), the snowboarder has attained a velocity . The snowboarder then slides along a flat surface (on which = 0.15) and comes to rest after a distance . Part A = 38 = 1.1
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 6/9 Use Newton's second law to find the snowboarder's acceleration while on the incline and while on the flat surface. Express your answers using two significant figures. Enter your answers numerically separated by a comma. ANSWER: Correct Part B Then use these accelerations to determine . Express your answer using two significant figures. ANSWER: Correct Problem 5.8 A wet bar of soap slides freely down a ramp 9.0 long inclined at 9.0 . Part A How long does it take to reach the bottom? Assume = 0.050. Express your answer using two significant figures. ANSWER: Correct = 3.0,-1.5 = 240 = 4.1
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12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 7/9 Problem 5.40 A 0.43- ball, attached to the end of a horizontal cord, is revolved in a circle of radius 2.5 on a frictionless horizontal surface. Part A If the cord will break when the tension in it exceeds 95 , what is the maximum speed the ball can have? Express your answer with the appropriate units. ANSWER: Correct Problem 5.43 A car drives in a spiral path of gradually decreasing radius in a large empty parking lot. The speed is held constant at 13 , and the car starts at a distance of 50.0 from the center of the spiral. Part A If the coefficient of static friction is 0.8, how far is the car from the center when it first starts to skid? Express your answer with the appropriate units. ANSWER: Correct Problem 5.45 Highway curves are marked with a suggested speed. Part A = 24 = 22
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 8/9 If this speed is based on what would be safe in wet weather, estimate the radius of curvature for a curve marked 80 . The coefficient of static friction of rubber on wet concrete is , the coefficient of kinetic friction of rubber on wet concrete is . Express your answer to two significant figures and include the appropriate units. ANSWER: Correct Problem 5.52 A jet pilot takes his aircraft in a vertical loop. As shown in the figure . Part A If the jet is moving at a speed of 1150 at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.5 's. Express your answer using two significant figures. ANSWER: Correct Part B Calculate the 83 pilot's effective weight (the force with which the seat pushes up on him) at the bottom of the circle. Express your answer using two significant figures. = 72 = 1600
12/6/23, 3:46 PM HW Chapter 5 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10873192 9/9 ANSWER: Correct Part C Calculate the 83 pilot's effective weight (the force with which the seat pushes up on him) at the top of the circle (assume the same speed). Express your answer using two significant figures. ANSWER: Correct Score Summary: Your score on this assignment is 100%. You received 9 out of a possible total of 9 points. = 6100 = 4500
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