interesting chemistry (as you ’ll find about in this experiment). Have some fun and find out what color candle burns the fastest by conducting your very own candle race! Required materials 5 candles of varying colors‚ preferably white‚ pink‚ yellow‚ green‚ and blue (must be same brand and size) Ruler Marker or Sharpie Matches or lighter Scissors Clay‚ Putty‚ or Play dough Ceramic plate Stop Watch Pencil Notebook (to record results) Estimated Experiment Time About 1 to 2 hours Step-By-Step Procedure
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Vector Analysis Definition A vector in n dimension is any set of n-components that transforms in the same manner as a displacement when you change coordinates Displacement is the model for the behavior of all vectors Roughly speaking: A vector is a quantity with both direction as well as magnitude. On the contrary‚ a scalar has no direction and remains unchanged when one changes the coordinates. Notation: Bold face A‚ in handwriting A . The magnitude of the vector is denoted by A A
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MCV4U0 Vector Applications Name:__________________ Date:______________ 1. A ship sailing on the open sea leaves Port A for Port B at a bearing of N25oW. A wind of 6 km/h on a bearing of N10oE blows the ship off course. If the ship is capable of 35 km/h in still water‚ find the new speed and direction relative to the shore. 2. A boat is capable of 20 km/h in still water. You wish to cross the river to a point directly across from your present position. At what angle to the bank should
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Acceleration Velocity Displacement Distance Time Definition 1. Acceleration is the rate of change of velocity with time. Velocity is a vector physical quantity; both magnitude and direction are required to define it. the length of an imaginary straight path‚ typically distinct from the path actually travelled by P. Distance is a numerical description of how far apart objects are. In physics or everyday usage‚ distance may refer to a physical length‚ or an estimation Time in physics is
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each of the following vectors in terms of and (a) (b) (c) (Total 4 marks) 2. The vectors ‚ are unit vectors along the x-axis and y-axis respectively. The vectors = – + and = 3 + 5 are given. (a) Find + 2 in terms of and . A vector has the same direction as + 2 ‚ and has a magnitude of 26. (b) Find in terms of and . (Total 4 marks) 3. The circle shown has centre O and radius 6. is the vector ‚ is the vector and is the vector . (a) Verify
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1.1.1 Show how to find A and B‚ given A+B and A −B. 1.1.2 The vector A whose magnitude is 1.732 units makes equal angles with the coordinate axes. Find Ax‚Ay ‚ and Az. 1.1.3 Calculate the components of a unit vector that lies in the xy-plane and makes equal angles with the positive directions of the x- and y-axes. 1.1.4 The velocity of sailboat A relative to sailboat B‚ vrel‚ is defined by the equation vrel = vA − vB‚ where vA is the velocity of A and vB is the velocity of B. Determine the velocity
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a stochastic process with the following properties: (a.) The number of possible outcomes or states is finite. (b.) The outcome at any stage depends only on the outcome of the previous stage. (c.) The probabilities are constant over time. If x0 is a vector which represents the initial state of a system‚ then
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Mehran University College Of Engineering & Technology‚ Khairpur Mir’s VECTOR GROUPS ENGR. AHSANULLAH MEMON LECTURER DEPARTMENT OF ELECTRICAL ENGINEERING MUCET KHAIRPUR MIRS ZIGZAG CONNECTION OF TRANSFORMER The zigzag connection of tranformer is also called the interconnected star connection. This connection has some of the features of the Y and the ∆ connections‚ combining the advantages of both. The zigzag transformer contains six coils on three cores. Its applications are for the deviation
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Sciences ECE / ICE / MexE Department ECE 352 VECTOR ANALYSIS DEL OPERATOR GROUP 3 Andaya‚ Rizalyn Ramos‚ Maria Issa P. ∇ Del is a symbol used in mathematics‚ in particular‚ in vector calculus‚ as a vector differential operator‚ usually represented by the nabla symbol ∇. Del may denote the gradient (locally steepest slope)‚ the divergence of a vector field‚ or the curl (rotation) of a vector field. The symbol ∇ can be interpreted as a vector of partial derivative operators‚ and its three
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Title: Forces Table Introduction: The purpose of this week’s lab‚ titled “Forces Table”‚ was to look at vectors in two dimensions. The lab was also used to help up understand how to sum up forces and the decomposition. In our experiment‚ we had to estimate a third force that would balance out our other two. This would then make the sum of the forces zero. To calculate our forces we used Newton’s Second Law below: (1) In the above equation‚ the ƩF represents the sum of all of the forces in Newton’s
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