Equations Reducible to Quadratic Equations Exercise 4.2 Solve the following equations: 1. x 4 − 6 x 2 + 8 = 0 Solution: x4 − 6 x2 + 8 = 0 Let y = x 2 and y 2 = x 4 The above equation becomes: y 2 − 6 y + 8 = 0 y2 − 6 y + 8 = 0 y2 − 4 y − 2 y + 8 = 0 y ( y − 4) − 2( y − 4) = 0 ( y − 2)( y − 4) = 0 y − 2 = 0 and y − 4 = 0 y=2 y=4 2 As‚ y = x x2 = 2 x2 = 4 x = ±2 x=± 2 solution set = { 2‚ − 2‚ 2‚ −2} 2. x −2 − 10 = 3 x−1 Solution: x −2 − 10 = 3 x −1 x −2 − 3 x −1 − 10 = 0 Let
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Name __________________ Balloons and Buoyancy Simulation Go to HYPERLINK "http://phet.colorado.edu/simulations/sims.php?sim=Balloons_and_Buoyancy" http://phet.colorado.edu/simulations/sims.php?sim=Balloons_and_Buoyancy and click on Run Now. Determine what factors make a hot air balloon or a helium balloon float Student Instructions: 1. Why does a hot air balloon float even though it is so heavy? Hot air balloons float because the buoyancy force of the hot air is more that the
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Lab #1: Projectile Motion Purpose: To determine experimentally the initial and final velocities of an air powered projectile. Hypothesis: If the angle of the rocket is launched at 45 degrees than the distance and velocity will maximize. Materials: Rocket launching platform Rocket launcher Rocket body Air pump Safety goggles Rubber washer Nose cone 40‚ 45‚ 50‚ 55 and 60 angle wooden blocks Measuring wheel Procedure: 1. The rocket was assembled by the rocket launcher
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A superconductor is a metallic alloy that conducts electricity without resistance‚ below a certain temperature. Once in motion‚ an electrical current will flow in a closed loop within a superconducting material. This is the closest to scientists of a perpetual motion machine. In 1911‚ Heike Kamerlingh Onnes first observed superconductivity. He used mercury and cooled to four degrees Kelvin. When the mercury reached that temperature‚ the resistance disappeared. That meant that the electrical current
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Laboratory simulation: Refraction Name:______SummerAbdullah______________________________ Class:______12G________ Learning goals Familiarize with simulations of physical processes. Log raw data and plot graphs. Partially familiarize with the scientific method (phenomenon‚ prediction‚ experiment‚ and conclusion). Derive the dependence of the angle of refraction on the angle of incidence and the index of refraction. Simulation used “Refraction of light” (“bending-light_el.jar”): http://phet
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Flight is a phenomenon that has long been a part of the natural world. Birds fly not only by flapping their wings‚ but by gliding with their wings outstretched for long distances. Smoke‚ which is composed of tiny particles‚ can rise thousands of feet into the air. Both these types of flight are possible because of the principles of physical science. Likewise‚ man-made aircraft rely on these principles to overcome the force of gravity and achieve flight. Lighter-than-air craft‚ such as the hot
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contraction for movement. There are many muscles in the body. It is stated that there are over 650 muscles in the body ‚ and is said that there are possibilities of up to 840. Your whole body is a muscle. You have Muscles in your head‚ arms‚ legs‚ just about anywhere you can think of and as we progress in life and become of age our muscles may grow and get stronger ‚ or may deteriorate. We can also come across injuries which can tear our muscles. Now as we grow our muscles change ‚ but as an infant
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sample The second law states that the net force on an object is equal to the rate of change (that is‚ the derivative) of its linear momentum p in an inertial reference frame: [pic] The second law can also be stated in terms of an object’s acceleration. Since the law is valid only for constant-mass systems‚[16][17][18] the mass can be taken outside the differentiation operator by the constant factor rule in differentiation. Thus‚ [pic] where F is the net force applied
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Physics 4052 Spring 2004 Y. Kubota K. Wick Project Proposal for Physics 4052 Introduction You must begin to think about a possible experimental project to carry out next semester (Physics 4052). The reason for this is two-fold: first‚ it will introduce you to the process of proposal writing‚ which is an unavoidable and very important part of modern experimentation‚ and second‚ it will enable us to make any necessary plans for procuring equipment. To start you thinking about this process‚
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System Analysis and Design Presented to The Faculty of College of Computer Studies Wesleyan University - Philippines Online Physics Tutorial In Partial Fulfillment of the Requirements for the Degree of Bachelor of Science in Information Technology \ Submitted By: Santos‚ Zyra Jerami Manalastas‚ Mark Justin Del Rosario‚ Melquisedec Submitted To: Divina A.Dadez Acknowledgement Abstract Table of Contents List of Tables List of Figures 1.0 Research Description
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