MasteringPhysics-HW01 - MasteringPhysics 4/12/10 10:17 AM...

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MasteringPhysics Page 1 of 31 Manage this Assignment: Print Version with Answers Homework assignment 1 (covers Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.10) Due: 2:00am on Monday, April 5, 2010 Note: You will receive no credit for late submissions. To learn more, read your instructor's Grading Policy First review Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, and 1.10 of Young and Freedman, including the worked examples. You should then be able to solve the problems given below. Note that you are allowed only 6 answer attempts per problem. Dimensions of Physical Quantities Description: Dimensions introduced, finding dimension of physical quantities Learning Goal: To introduce the idea of physical dimensions and to learn how to find them. Physical quantities are generally not purely numerical: They have a particular dimension or combination of dimensions associated with them. Thus, your height is not 74, but rather 74 inches, often expressed as 6 feet 2 inches. Although feet and inches are different units they have the same dimension -- length . Part A In classical mechanics there are three base dimensions. Length is one of them. What are the other two? Hint A.1 MKS system The current system of units is called the International System (abbreviated SI from the French Système International). In the past this system was called the mks system for its base units: meter, kilogram, and second. What are the dimensions of these quantities? ANSWER: acceleration and mass acceleration and time acceleration and charge mass and time mass and charge time and charge There are three dimensions used in mechanics: length ( ), mass ( ), and time ( ). A combination of these three dimensions suffices to express any physical quantity, because when a new physical quantity is needed (e.g., velocity), it always obeys an equation that permits it to be expressed in terms of the units used for these three dimensions. One then derives a unit to measure the new physical quantity from that equation, and often its unit is given a special name. Such new dimensions are called derived dimensions and the units they are measured in are called derived units. For example, area has derived dimensions . (Note that "dimensions of variable " is symbolized as .) You can find these dimensions by looking at the formula for the area of a square , where is the length of a side of the square. Clearly . Plugging this into the equation gives . Part B Find the dimensions of volume. Hint B.1 Equation for volume You have likely learned many formulas for the volume of various shapes in geometry. Any of these equations will give you the dimensions for volume. You can find the dimensions most easily from the volume of a cube , where is the length of the edge of the cube. Express your answer as powers of length (
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This note was uploaded on 05/02/2010 for the course PHYS PHYS 1 taught by Professor Morrison during the Spring '10 term at UCSB.

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MasteringPhysics-HW01 - MasteringPhysics 4/12/10 10:17 AM...

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