Current Attempt in Progress1A sailboat race course consists of four legs, defined by the displacement vectors A, B, C, and D, as the drawing indicates. Themagnitudes of the first three vectors are A = 3.20 km, B = 5.00 km, and C = 5.30 km. The finish line of the course coincides with thestarting line. Using the data in the drawing, find (a) the distance of the fourth leg and (b) the angle #.(a) NumberiUnits(b) NumberUnits23.0B735.0°DT40.0°Finish-Start

Answered: Image /qna-images/answer/184e9291-378b-459a-bb7e-356d760ce189.jpg

Answered: Current Attempt in Progress 1 A…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 8: Consider two vectors A and B, expressed in unit vector notation as A= aji+ azj and B = bji+ bzj. A. Part (a) Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above. A+B = B 7 8 HOME a i j k 4 5 6 a1 a2 bị 1 2 3 b2 d + END - h VO BACKSPACE CLEAR m DEL Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. Part (b) Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above. Part (c) Enter an expression for the square of the magnitude of the sum vector |A + B| in terms of quantities shown in the expressions above.
Question 20 A helicopter is heading S 43° E (i.e. direction angle of 313°) with an airspeed of 27 mph, and the wind is blowing S 13° E (i.e. direction angle of 283°) at 10 mph. Helicopter's speed Round all numbers in your answers below to 2 places after the decimal point. (a) Find the velocity vector that represents the true heading of the helicopter. Type your answer in component form, (where a and b represent some numbers). Velocity vector of helicopter's true heading: (b) Find the helicopter's speed relative to the ground (in mph). mph (c) Find the helicopter's drift angle, 8. (The drift angle is the number of degrees that the helicopter will end up flying off-course.) 8 = Submit Question degrees
Problem An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m at 72° north of west, and then 150 m due south. Save the explorer from becoming hopelessly lost by giving him the displacement, calculated by using the method of components, that will return him to his shelter. Solution By vector-component approach, we list down the given in a table as follows: x-component (w/ sign direction) y-component (w/ sign direction) Given A = 50 m NE m B = 180 m 72° NW m C = 150 m S m m Resultant m Thus, the magnitude of the resultant vector is R = With a direction of e = O NW Therefore, the vector needed for him to successfully get back home is Rhome = OSE m EE
Part C Long Answer question (4 x 0.75 = 3 Marks) A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate the magnitude and direction of his resultant displacement. () The sum of the X components (2X) is = km (i) The sum of the Y components (ZY) is = km (iii) The magnitude of the resultant displacement is = km (iv) The direction (angle) of the resultant displacement (in degrees) is °, North of East
Two position vectors lie in a plane. The first, vector r points at an angle of 20° below the positive x-axis and has a magnitude of 57.5 m. The second, vector , points at an angle of 55.5° above the positive x-axis and has a magnitude of 75 m. (a) Choose the diagram below that is correct a graphical representation of + 78. +y +y magnitude direction FA FB fc 4 FA fc m FB Viewing Saved Mort: Be +X (counterclockwise from the +x-axis) +y +y FB FA ŤA fc fc (b) What is the magnitude and direction of vector re? Give the direction as an angle measured counterclockwise from the positive x- axis? FB +X + X Ad Tha
1. DETAILS (a) C = A + B Given the displacement vectors A = (7.00 13.00 +2.00 k) m and B = (3.00 +2.00 -6.00 k) m, find the magnitudes of the following vectors and express each in terms of its rectangular components. Tu tu C (b) D = 2A-B teta D m î+ m î+ Ĵ+ Ĵ+ k) m MY NOTES k) m ASK YOUR TEACHER
P3C A hiker takes a three - part journey as described in map coordinates below. Determine the hiker's displacement after the three - part hike. Record your answer in polar coordinates with magnitude and the direction measured relative to the positive - x axis in the spaces below. Use units for the magnitude, but do not use the degree unit on direction.Part 1) 1600 m at 40.00 East of North.Part 2) 1800 m at 20.00 North of West.Part 3) 1200 m due North.
Physics 1 for engineering
1
Please help with parts g and h Two velocity vectors are defined as follows: v1 = 40.0 m/s, 50.0 degrees cw from the +x axis v2 = 30.0 m/s, 75.0degrees cw from the -y axis d) Calculate the x- and y-components of v2. Write the vector v2 in terms of its components using unit vector notation. e) Calculate the x- and y-components of the change in velocity defined as Δv= v2-v1. Write the vector Δv in terms of its components using unit vector notation. f) Sketch the vector Δv on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. g) Calculate the magnitude and direction of the vector Δv. h) Finally, write the vector Δv in terms of its magnitude and direction.
The two vectors A and B have the same magnitude are shown in the figure. In which case (or cases) vector A is not equal to vector B?
F1 = 50 g 01 = 5° 90 F2 = 135 g 02 = 80° 270 Find the equilibrant vector associated with the two vectors that you have been given. magnitude Your value is acceptable. g direction Your value is too low.° 081

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