10/18 do now The mass of a space shuttle is approximately 2.0 × 106 kg. During

10/18 do now The mass of a space shuttle is approximately 2.0 × 106 kg.  During www.phwiki.com

10/18 do now The mass of a space shuttle is approximately 2.0 × 106 kg. During

Duncan, Dave, Features Editor has reference to this Academic Journal, PHwiki organized this Journal 10/18 do now The mass of a space shuttle is approximately 2.0 × 106 kg. During lift-off, the net as long as ce on the shuttle is 1.0 × 107 newtons directed upward. What is the speed of the shuttle 10. seconds after lift-off [Neglect air resistance in addition to the mass change of the shuttle.] objectives Vectors Test retake must be taken by 10/28, you must complete the following in order to retake the test Test corrections Finish castle learning test retake review assignment Homework – castle learning – vector 1 – due Wednesday Quiz on Friday on vectors Vectors: Motion in addition to Forces in Two Dimensions – Chapter Outline Lesson 1: Vectors – Fundamentals in addition to Operations Lesson 2: Projectile Motion Lesson 3: Forces in Two Dimensions

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Lesson 1: Vectors – Fundamentals in addition to Operations Vectors in addition to Direction Vector Addition Resultants Vector Components Vector Resolution Component Method of Vector Addition Relative Velocity in addition to Riverboat Problems Independence of Perpendicular Components of Motion Vectors in addition to Direction All quantities can by divided into two categories – vectors in addition to scalars. A vector quantity is fully described by both magnitude in addition to direction. A scalar quantity is fully described by its magnitude. Examples of vector include displacement, velocity, acceleration, in addition to as long as ce. Each of these quantities dem in addition to s both a magnitude in addition to a direction are listed Vector quantities are often represented by scaled vector diagrams. There are several characteristics of this diagram that make it an appropriately drawn vector diagram. a scale is clearly listed a vector arrow (with arrowhead) is drawn in a specified direction. The vector arrow has a head in addition to a tail. the magnitude in addition to direction of the vector is clearly labeled. In this case, the diagram shows the magnitude is 20 m in addition to the direction is (30 degrees West of North).

Conventions as long as Describing Directions of Vectors The direction of a vector is often expressed as an angle of rotation of the vector about its “tail” from east, west, north, or south. The direction of a vector is often expressed as a counterclockwise angle of rotation of the vector about its “tail” from due East. Representing the Magnitude of a Vector The magnitude of a vector in a scaled vector diagram is depicted by the length of the arrow. The arrow is drawn a precise length in accordance with a chosen scale. practice Determine the magnitudes in addition to directions of vectors

10/19 do now Vector practice packet Page 1 4, 5, 6 Page 2 8, 9 10/20 do now What is the magnitude of the as long as ce needed to keep a 60.-newton rubber block moving across level, dry asphalt in a straight line at a constant speed of 2.0 meters per second objectives Vector Addition Resultants Vector Components Vector Resolution Test retake must be taken by 10/28, you must complete the following in order to retake the test Test corrections Finish castle learning test retake review assignment Homework – castle learning – vector 2

Vector Addition Two vectors can be added together to determine the result (or resultant). The two methods used throughout the entire unit are: the Pythagorean theorem in addition to trigonometric methods the head-to-tail method using a scaled vector diagram The Pythagorean Theorem Example: Eric leaves the base camp in addition to hikes 11 km, north in addition to then hikes 11 km east. Determine Eric’s resulting displacement. The procedure is restricted to the addition of two vectors that make right angles to each other.

Using Trigonometry to Determine a Vector’s Direction Example: Eric leaves the base camp in addition to hikes 11 km, north in addition to then hikes 11 km east. Determine Eric’s overall resulting displacement. Note: The measure of an angle as determined through use of SOH CAH TOA is not always the direction of the vector.

Use of Scaled Vector Diagrams to Determine a Resultant The magnitude in addition to direction of the sum of two or more vectors can also be determined by use of an accurately drawn scaled vector diagram. Using a scaled diagram, the head-to-tail method is employed to determine the vector sum or resultant. applying the head-to-tail method to determine the sum of two or more vectors: Choose a scale in addition to indicate it on a sheet of paper. The best choice of scale is one that will result in a diagram that is as large as possible, yet fits on the sheet of paper. Pick a starting location in addition to draw the first vector to scale in the indicated direction. Label the magnitude in addition to direction of the scale on the diagram (e.g., SCALE: 1 cm = 20 m). Starting from where the head of the first vector ends, draw the second vector to scale in the indicated direction. Label the magnitude in addition to direction of this vector on the diagram. Repeat steps 2 in addition to 3 as long as all vectors that are to be added Draw the resultant from the tail of the first vector to the head of the last vector. Label this vector as Resultant or simply R. Using a ruler, measure the length of the resultant in addition to determine its magnitude by converting to real units using the scale (4.4 cm x 20 m/1 cm = 88 m). Measure the direction of the resultant using the counterclockwise convention. Note: the order in which three vectors are added has no affect upon either the magnitude or the direction of the resultant. The resultant will still have the same magnitude in addition to direction.

Resultants The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. practice Vector addition – head in addition to tail method 10/20 do now What is the magnitude of the as long as ce needed to keep a 60.-newton rubber block moving across level, dry asphalt in a straight line at a constant speed of 2.0 meters per second

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objectives Vector Components Vector Resolution Test retake must be taken by 10/28, you must complete the following in order to retake the test Test corrections Finish castle learning test retake review assignment Homework – castle learning – vector 3 Vector addition Practice: determine resultant

Determine resultant A B B A B A 90o 0o 180o The sum of any two vectors A & B can have a maximum value of (A + B) in addition to minimum value of A – B . example A 5.0-newton as long as ce in addition to a 7.0-newton as long as ce act concurrently on a point. As the angle between the as long as ces is increased from 0° to 180°, the magnitude of the resultant of the two as long as ces changes from 0.0 N to 12.0 N 2.0 N to 12.0 N 12.0 N to 2.0 N 12.0 N to 0.0 N example A 3-newton as long as ce in addition to a 4-newton as long as ce are acting concurrently on a point. Which as long as ce could not produce equilibrium with these two as long as ces 1 N 7 N 9 N 4 N

Conclusion (20 points) Procedure (10 points): Briefly describe how the lab is going to be done. Someone who was not present during the lab should be able to underst in addition to how the experiment was per as long as em in addition to be able to reporduce the results by reading your procedure. The Discussion of results (10 points) Discuss any questionable data or surprising result. An error analysis should be included. Suggest any change in experimental design which might test your explanations A complete lab write-up includes Title, Purpose, Material, Data section, in addition to Conclusion.

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