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12/6/23, 3:47 PM HW4: Chap 4 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10841818 1/9 HW4: Chap 4 Due: 11:59pm on Tuesday, October 24, 2023 You will receive no credit for items you complete after the assignment is due. Grading Policy Pulling Three Blocks Three identical blocks connected by ideal (massless) strings are being pulled along a horizontal frictionless surface by a horizontal force . The magnitude of the tension in the string between blocks B and C is = 3.00 . Assume that each block has mass = 0.400 . Part A What is the magnitude of the force? Express your answer numerically in newtons. Hint 1. Find the acceleration of block B What is the magnitude of the acceleration of block B? Express your answer numerically in meter per second squared. Hint 1. Consider blocks A and B as a unit Since blocks A and B are not moving with respect to each other, you can treat them as one larger "object." This larger object has the same acceleration as either block A or block B alone. The advantage of such an approach is that the larger object has only one force acting on it (the tension 3.00 in the rope). ANSWER: Hint 2. Find the acceleration of all three blocks Which of the following expressions gives the magnitude of the acceleration of the three blocks? Hint 1. Consider all three blocks as a unit Since the three blocks are not moving with respect to one another, you can treat them as one larger "object" of mass equal to the sum of the masses of all three blocks. The only horizontal force acting on this larger object is , so you can use Newton's 2nd law to determine an expression for its acceleration. ANSWER: = 3.75 Typesetting math: 100%

12/6/23, 3:47 PM HW4: Chap 4 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10841818 2/9 ANSWER: Correct Part B What is the tension in the string between block A and block B? Express your answer numerically in newtons Hint 1. How to approach the question The tension is the only horizontal force acting on block A. Thus, you can find the acceleration of block A and then apply Newton's 2nd law. Note that all three blocks have the same acceleration. ANSWER: Correct Problem 4.61 A 2.5 block is placed on a frictionless table. The block is connected by massless ropes over massless pulleys to a 7.5- block on the right, and a 3.0- block on the left, as shown in . = 4.50 = 1.50 Typesetting math: 100%

12/6/23, 3:47 PM HW4: Chap 4 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10841818 3/9 Part A Find the acceleration of the block on the table. Express your answer with the appropriate units. ANSWER: Correct Problem 4.55 The figure shows a block (mass ) on a smooth horizontal surface, connected by a thin cord that passes over a pulley to a second block , which hangs vertically. Part A Draw a free-body diagram for block A, showing the force of gravity on it, the force (tension) exerted by the cord, and any normal force. Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded. ANSWER: = 3.4 Typesetting math: 100%

12/6/23, 3:47 PM HW4: Chap 4 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=10841818 4/9 Correct Part B Draw a free-body diagram for block B, showing the force of gravity on it, the force (tension) exerted by the cord, and any normal force. Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded. ANSWER: No elements selected Typesetting math: 100%

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