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MasteringPhysics-ch 11

# MasteringPhysics-ch 11 - MasteringPhysics Assignment Print...

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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 1 of 20 10/21/07 9:35 PM [ Print View ] physics 2211 MP11: Chapter 11 Due at 5:30pm on Monday, October 22, 2007 View Grading Details Vector Dot Product Let vectors , , and . Calculate the following: Part A Hint A.1 Remember the dot product equation If and , then . ANSWER: = -10 Part B What is the angle between and ? Hint B.1 Remember the definition of dot products , where is the angle between and . ANSWER: = 2.33 Part C ANSWER: = 30 Part D [ Print ]

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MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 2 of 20 10/21/07 9:35 PM ANSWER: = 30 Part E Which of the following can be computed? Hint E.1 Dot product operator Hint not displayed ANSWER: and are different vectors with lengths and respectively. Find the following: Part F Hint F.1 What is the angle between a vector and itself? The angle between a vector and itself is 0. Hint F.2 Remember the definition of dot products , where is the angle between and . Express your answer in terms of ANSWER: = Part G If and are perpendicular, Hint G.1 What is the angle between perpendicular vectors? The angle between vectors that are perpendicular is equal to radians or 90 degrees. ANSWER: =
MasteringPhysics: Assignment Print View http://session.masteringphysics.com/myct/assignmentPrint?assignm... 3 of 20 10/21/07 9:35 PM Part H If and are parallel, Hint H.1 What is the angle between parallel vectors? The angle between vectors that are parallel is equal to 0. Express your answer in terms of and . ANSWER: = Work from a Constant Force Learning Goal: To understand how to compute the work done by a constant force acting on a particle that moves in a straight line. In this problem, you will calculate the work done by a constant force. A force is considered constant if is independent of . This is the most frequently encountered situation in elementary Newtonian mechanics. Part A Consider a particle moving in a straight line from initial point B to final point A, acted upon by a constant force . The force (think of it as a field, having a magnitude and direction at every position ) is indicated by a series of identical vectors pointing to the left, parallel to the horizontal axis. The vectors are all identical only because the force is constant along the path. The magnitude of the force is , and the displacement vector from point B to point A is (of magnitude , making and angle (radians) with the positive x axis). Find , the work that the force performs on the particle as it moves from point B to point A. Hint A.1 Formula for work done by a constant force For a particle subjected to a constant force along a straight path represented by the displacement vector , the net work done by is . Part A.2 Find the angle between and You need to find the angle between the vector , which is directed horizontally to the left , and the vector in the direction of the particle's motion (at an angle (radians) relative to the positive x axis). It may help to visualize directed along the negative x axis at the origin. What is the angle between and ?

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