B AB cose, where 0 is the angle between the two vectors eometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when @-0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the No are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W F•d. uppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during nis motion?
B AB cose, where 0 is the angle between the two vectors eometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when @-0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the No are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W F•d. uppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during nis motion?
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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Transcribed Image Text:Dot product of two vectors A and Bis represented as
A B AB cose, where 0 is the angle between the two vectors.
Geometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when 0 0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the
two are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W = F•d.
%3D
Suppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during
this motion?
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