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NT2B-CCT7: COMBINING TWO VECTORS-RESULTANT Two vectors each have a magnitude 6 units, and each makes a small angle of with the horizontal as shown. Four students are arguing about the resultant vector obtained by adding these two vectors. Belle: 6 6 Amanda: "Since these are vectors, we need to use the Pythagorean theorem to find the magnitude. In this case, the magnitude will be the square root of 72. The direction will be downward." "Since these are vectors we have to find a direction and a magnitude. We use the vectors to determine the direction, which is down. But to get the magnitude, we just add the individual magnitudes. The magnitude of the resultant is twelve." Conrad: Donald: α α "I think the direction is actually up. The resultant should add to these vectors to get zero, and since these ones point down, we need another vector pointing up." "The magnitude will be less than six. Each of these point down just a little so the resultant will be pretty small." Which, if any, of these students do you agree with? Conrad Amanda Belle Please explain your reasoning. Donald None of them

NT2B-CCT7: COMBINING TWO VECTORS-RESULTANT Two vectors each have a magnitude 6 units, and each makes a small angle of with the horizontal as shown. Four students are arguing about the resultant vector obtained by adding these two vectors. Belle: 6 6 Amanda: "Since these are vectors, we need to use the Pythagorean theorem to find the magnitude. In this case, the magnitude will be the square root of 72. The direction will be downward." "Since these are vectors we have to find a direction and a magnitude. We use the vectors to determine the direction, which is down. But to get the magnitude, we just add the individual magnitudes. The magnitude of the resultant is twelve." Conrad: Donald: α α "I think the direction is actually up. The resultant should add to these vectors to get zero, and since these ones point down, we need another vector pointing up." "The magnitude will be less than six. Each of these point down just a little so the resultant will be pretty small." Which, if any, of these students do you agree with? Conrad Amanda Belle Please explain your reasoning. Donald None of them

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Which if any of these students do you agree with ? Please explain your reasoning. For the first one
NT2B-CCT7: COMBINING TWO VECTORS-RESULTANT KOWT :OMTOO-OSTИ Jos. Two vectors each have a magnitude 6 units, and each makes a small angle a with the horizontal as shown. Four students are arguing about the resultant vector obtained by adding these two vectors. Belle: Conrad: Amanda: "Since these are vectors, we need to use the Pythagorean theorem to find the magnitude. In this case, the magnitude will be the square root of 72. The direction will be downward." "Since these are vectors we have to find a direction and a magnitude. We use the vectors to determine the direction, which is down. But to get the magnitude, we just add the individual magnitudes. The magnitude of the resultant is twelve." agrinde Donald: 6. "I think the direction is actually up. The resultant should add to these vectors to get zero, and since these ones point down, we need another vector pointing up.' "" Which, if any, of these students do you agree with? Amanda Belle Conrad Please explain your reasoning. 45° α "The magnitude will be less than six. Each of these point down just a little so the resultant will be pretty small." ohA 6 6 Case A NT2B-CT8: COMBINING VECTORS-MAGNITUDE OF RESULTANT In Case A, two vectors of magnitude 6 units are at right angles to one another. In Case B, four vectors, each of magnitude 3 units, are arranged as shown. The outer vectors in Case B are also at right angles to one another, and the difference in direction between any pair of adjacent vectors is 30°.most Donald None of them 45° 45° 3 30° 30° 73 3 293 2 Case B 45° 30° w 3 If all vectors in each case are added together, is the magnitude of the resultant in Case A greater than, less than, or equal to the magnitude of the resultant in Case B? Please explain your reasoning.
Transcribed Image Text:NT2B-CCT7: COMBINING TWO VECTORS-RESULTANT KOWT :OMTOO-OSTИ Jos. Two vectors each have a magnitude 6 units, and each makes a small angle a with the horizontal as shown. Four students are arguing about the resultant vector obtained by adding these two vectors. Belle: Conrad: Amanda: "Since these are vectors, we need to use the Pythagorean theorem to find the magnitude. In this case, the magnitude will be the square root of 72. The direction will be downward." "Since these are vectors we have to find a direction and a magnitude. We use the vectors to determine the direction, which is down. But to get the magnitude, we just add the individual magnitudes. The magnitude of the resultant is twelve." agrinde Donald: 6. "I think the direction is actually up. The resultant should add to these vectors to get zero, and since these ones point down, we need another vector pointing up.' "" Which, if any, of these students do you agree with? Amanda Belle Conrad Please explain your reasoning. 45° α "The magnitude will be less than six. Each of these point down just a little so the resultant will be pretty small." ohA 6 6 Case A NT2B-CT8: COMBINING VECTORS-MAGNITUDE OF RESULTANT In Case A, two vectors of magnitude 6 units are at right angles to one another. In Case B, four vectors, each of magnitude 3 units, are arranged as shown. The outer vectors in Case B are also at right angles to one another, and the difference in direction between any pair of adjacent vectors is 30°.most Donald None of them 45° 45° 3 30° 30° 73 3 293 2 Case B 45° 30° w 3 If all vectors in each case are added together, is the magnitude of the resultant in Case A greater than, less than, or equal to the magnitude of the resultant in Case B? Please explain your reasoning.
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