p201f08hw06b - MasteringPhysics Assignment Print View Page...

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IUPhysicsP201F2009 Assignment 6b Due at 12:00pm on Sunday, October 19, 2008 Assignment Display Mode: View Printable Answers View Grading Details Conservation of Momentum in Two Dimensions Ranking Task Description: Conceptual question on conservation of momentum in two dimensions. (ranking task) Part A The figures below show bird's-eye views of six automobile crashes an instant before they occur. The automobiles have different masses and incoming velocities as shown. After impact, the automobiles remain joined together and skid to rest in the direction shown by . Rank these crashes according to the angle , measured counterclockwise as shown, at which the wreckage initially skids. Rank from largest to smallest. To rank items as equivalent, overlap them. Hint A.1 Conservation of momentum in two dimensions Since momentum is a vector quantity, the x component of momentum and the y component of momentum must be individually conserved in any collision. Thus, the total x momentum before the collision must be equal to the total x momentum of the sliding wreckage after the collision. The same is true for the total y momentum. Hint A.2 Determining the angle Once the x and y momenta of the wreckage are determined, the exact angle through which the wreckage skids can be determined by trigonometry. Determining the exact angle of this final momentum vector is accomplished the same way you would find the angle of any vector, typically by finding the inverse tangent of the y component over the x component. (You can also determine the ranking without calculating the exact angle at which the wreckage skids.) ANSWER: View The Center of Mass of the Earth-Moon-Sun System Description: Students first calculate the location of the center of mass for the Earth-Moon system and then Page 1 of 10 MasteringPhysics: Assignment Print View 10/6/2008 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1158638
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calculate the center of mass for the Earth-Moon-Sun system. A common, though incorrect, statement is, "The Moon orbits the Earth." That creates an image of the Moon’s orbit that looks like that shown in the figure. The Earth's gravity pulls on the Moon, causing it to orbit. However, by Newton’s third law, it is known that the Moon exerts a force back on the Earth. Therefore, the Earth should move in response to the Moon. Thus a more accurate statement is, "The Moon and the Earth both orbit the center of mass of the Earth-Moon system." In this problem, you will calculate the location of the center of mass for the Earth-Moon system, and then you will calculate the center of mass of the Earth-Moon-Sun system. The mass of the Moon is 7.35×10 22 , the mass of the Earth is 6.00×10 24 , and the mass of the sun is 2.00×10 30 . The distance between the Moon and the Earth is 3.80×10 5 . The distance between the Earth and the Sun is 1.50×10 8 . Part A
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p201f08hw06b - MasteringPhysics Assignment Print View Page...

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