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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.15CYU: Check Your Understanding For the vectors given in Figure 2.13, find the scalar products AB and CF ....

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