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15. Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break? (A) A (B) B (C) C (D) They must all be the same strength. 16. A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true? (A) P > f and N < W. (B) P > f and N = W. (C) P = f and N > W. (D) P = f and N = W. 17. The 10.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 10.0 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.20. The box is moving with: (A) acceleration to the left. (B) acceleration to the right. (C) constant speed and constant velocity. (D) constant speed but not constant velocity. 18. Assume the objects in the following diagrams have equal mass and the strings holding them in place are identical. In which case would the string be most likely to break? D. All would be equally likely to break 19. Two blocks of mass 1.0 kg and 3.0 kg are connected by a string which has a tension of 2.0 N. A force F acts in the direction shown to the right. Assuming friction is negligible, what is the value of F? (A) 2.0 N (B) 4.0 N (C) 6.0 N (D) 8.0 N 20. A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s^2 and an upward velocity of 3.0 m/s, the scale reads approximately (A) 350 N (B) 450 N (C) 500 N (D) 550 N

          15. Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break?
(A) A (B) B (C) C (D) They must all be the same strength.
16. A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true?
(A) P > f and N < W.
(B) P > f and N = W.
(C) P = f and N > W.
(D) P = f and N = W.
17. The 10.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 10.0 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.20. The box is moving with:
(A) acceleration to the left. (B) acceleration to the right.
(C) constant speed and constant velocity. (D) constant speed but not constant velocity.
18. Assume the objects in the following diagrams have equal mass and the strings holding them in place are identical. In which case would the string be most likely to break?
D. All would be equally likely to break
19. Two blocks of mass 1.0 kg and 3.0 kg are connected by a string which has a tension of 2.0 N. A force F acts in the direction shown to the right. Assuming friction is negligible, what is the value of F?
(A) 2.0 N (B) 4.0 N (C) 6.0 N (D) 8.0 N
20. A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s^2 and an upward velocity of 3.0 m/s, the scale reads approximately
(A) 350 N (B) 450 N (C) 500 N (D) 550 N
        
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15. Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break?
(A) A (B) B (C) C (D) They must all be the same strength.
16. A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true?
(A) P > f and N < W.
(B) P > f and N = W.
(C) P = f and N > W.
(D) P = f and N = W.
17. The 10.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 10.0 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.20. The box is moving with:
(A) acceleration to the left. (B) acceleration to the right.
(C) constant speed and constant velocity. (D) constant speed but not constant velocity.
18. Assume the objects in the following diagrams have equal mass and the strings holding them in place are identical. In which case would the string be most likely to break?
D. All would be equally likely to break
19. Two blocks of mass 1.0 kg and 3.0 kg are connected by a string which has a tension of 2.0 N. A force F acts in the direction shown to the right. Assuming friction is negligible, what is the value of F?
(A) 2.0 N (B) 4.0 N (C) 6.0 N (D) 8.0 N
20. A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s^2 and an upward velocity of 3.0 m/s, the scale reads approximately
(A) 350 N (B) 450 N (C) 500 N (D) 550 N

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University Physics with Modern Physics
Hugh D. Young 14th Edition
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15. Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break? (A) A (B) B (C) C (D) They must all be the same strength. 16. A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true? (A) P > f and N < W. (B) P > f and N = W. (C) P = f and N > W. (D) P = f and N = W. 17. The 10.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 10.0 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.20. The box is moving with: (A) acceleration to the left. (B) acceleration to the right. (C) constant speed and constant velocity. (D) constant speed but not constant velocity. 18. Assume the objects in the following diagrams have equal mass and the strings holding them in place are identical. In which case would the string be most likely to break? D. All would be equally likely to break 19. Two blocks of mass 1.0 kg and 3.0 kg are connected by a string which has a tension of 2.0 N. A force F acts in the direction shown to the right. Assuming friction is negligible, what is the value of F? (A) 2.0 N (B) 4.0 N (C) 6.0 N (D) 8.0 N 20. A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s^2 and an upward velocity of 3.0 m/s, the scale reads approximately (A) 350 N (B) 450 N (C) 500 N (D) 550 N
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15. Three blocks of masses 3m, 2m, and m are connected to strings A, B, and C as shown above. The blocks are pulled along a rough surface by a force of magnitude F exerted by string C. The coefficient of friction between each block and the surface is the same. Which string must be the strongest in order not to break? (A) A (B) B (C) C (D) They must all be the same strength. 16. A student pulls a wooden box along a rough horizontal floor at constant speed by means of a force P as shown to the right. Which of the following must be true? (A) P > f and N < W. (B) P > f and N = W. (C) P = f and N > W. (D) P = f and N = W. 17. The 10.0 kg box shown in the figure to the right is sliding to the right along the floor. A horizontal force of 10.0 N is being applied to the right. The coefficient of kinetic friction between the box and the floor is 0.20. The box is moving with: (A) acceleration to the left. (B) acceleration to the right. (C) constant speed and constant velocity. (D) constant speed but not constant velocity. 18. Assume the objects in the following diagrams have equal mass and the strings holding them in place are identical. In which case would the string be most likely to break? D. All would be equally likely to break 19. Two blocks of mass 1.0 kg and 3.0 kg are connected by a string which has a tension of 2.0 N. A force F acts in the direction shown to the right. Assuming friction is negligible, what is the value of F? (A) 2.0 N (B) 4.0 N (C) 6.0 N (D) 8.0 N 20. A 50-kg student stands on a scale in an elevator. At the instant the elevator has a downward acceleration of 1.0 m/s^2 and an upward velocity of 3.0 m/s, the scale reads approximately (A) 350 N (B) 450 N (C) 500 N (D) 550 N

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An Atwood's machine consists of masses A and B connected by a lightweight string that runs over a frictionless pulley of negligible mass. When mB = 6 kg and mA = 4 kg, mass B accelerates downward and mass A accelerates upward. Under these conditions, the tensions labeled in the figure will be: a) TA = 47 N, TB = 71 N b) TA = 47 N, TB = 47 N c) TA = 47 N, TB = 42 N d) TA = 39 N, TB = 39 N Block 1 is stacked on top of Block 2. Block 2 is connected by a light string to Block 3, which is pulled along a horizontal, frictionless table by a horizontal force F. Block 1 is accelerated at the same rate as Block 2 due to the static friction force between the two blocks. If all three blocks have the same mass m, what is the minimum coefficient of static friction μ between Blocks 1 and 2? a) F/(mg) b) 2F/(mg) c) 3F/(2mg) d) F/(3mg) A block that weighs 30 N hangs from a wire of negligible mass. The breaking strength of the wire is known to be 50 N. The largest upward acceleration that can be given to the block without breaking the wire is approximately: a) 6.7 m/s² b) 10 m/s² c) 16.7 m/s² d) 26.7 m/s² A 10.0-kg box is sliding to the right as a 10.0-N force acts to the right and a force of kinetic friction acts to the left. If the coefficient of kinetic friction μ between the box and the surface is 0.2, the box is moving with: a) Acceleration to the left. b) Acceleration to the right. c) Constant speed and constant velocity. d) Constant speed but not constant velocity. A 6-kg block, initially at rest, is pushed against a wall with a 100-N force, as shown. The coefficients of friction are: μs = 0.5 and μk = 0.3. What is true about friction after a time of 1 second? a) Static friction acts upward on the block. b) Static friction acts downward on the block. c) Kinetic friction acts upward on the block. d) Kinetic friction acts downward on the block.

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Transcript

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00:01 Hello and welcome to this video solution of numerate.
00:04 So here we are given three blocks of mass 3m 2m and m that are connected by strings a, b and c.
00:13 So let me just draw a simple diagram.
00:16 Here we have three masses, right.
00:19 The extreme left mass is m, this is 2m and this is 3m, right? they are connected by strings.
00:33 This is a, this is b, this is c.
00:37 The blocks are pulled along a rough surface by the force of magnitude f exerted by the string c so c is you are pulling it with f right the coefficient of friction between the block is same which string must be the strongest in order not to break right so this is pretty simple so it you can just mark it directly question 15 so does the maximum force is exerted where this force is acting right because if you see here this is the maximum force now on the other side there will be this tension let's say t1 t or t1 that will be acting this is also t1 and here let's say t2 and this is t2 right so what happens here is this uh m a will be m a is the net force on mass m a m a will be equal to f minus t1 right or this f will be equal to m a plus t1 right so this is what you have next for b we have got 2m the acceleration will be same in all cases right so this is equal to t1 minus t2 right or in other words t 1 will be equal to 2 m a plus t 2 right sorry sorry here you have to write in terms of t2 itself you can write t 2 because t1 has been already calculated based on this force f right so this t2 will be equal to t1 minus 2 m a right so if you see here what is happening is that this force f is m a plus t1 right and this t2 is t1 minus of 2 m a right so this is how forces get reduced as you move to the left right so obviously the maximum force is acting on this string c itself right so in 50 for 15 you can easily write option c which is c now now 16.
03:03 A student pulls a wooden block along a horizontal floor at constant speed by means of force f, force p, as marked to the right.
03:12 Now which of the following must be correct? so again this is also a pretty simple one...
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