Exercise 1: The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the Cartesian coordinates of this poi

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Exercise 1 The Polar Coordinates Of A Point Are R 5 50 M And 0 240 What Are The Cartesian Coordinates Of This Poi 1 (136.09 KiB) Viewed 44 times

Exercise 1: The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the Cartesian coordinates of this point. Exercise 2: Two points in a plane have polar coordinates (2.50 m, 30.0°) and (3.80 m, 120.0°). Determine (a) the Cartesian coordinates of these points and (b) the distance between them. Exercise 3: A pedestrian moves 6.00 km east and then 13.0 km north. Find the magnitude and direction of the resultant displacement vector using the graphical method. Exercise 4: Two points in the xy plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m. Determine (a) the distance between these points and (b) their polar coordinates. Exercise 5: A force F₁ of magnitude 6.00 units acts at the origin in a direction 30.0° above the positive x axis. A second force F₂ of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1+F2. Exercise 6: A vector has an x component of -25.0 units and a y component of 40.0 units. Find the magnitude and direction of this vector. Solution 6: Exercise 7: Each of the displacement vectors A and B shown in Fig. below has a magnitude of 3.00 m. Find graphically (a) A + B, (b) A - B, (c) B - A, (d) A - 2B. Report all angles counterclockwise from the positive x axis. 3.00 m 0 3,00 m 30.0⁰ A
Exercise 8: Obtain expressions in component form for the position vectors having the following polar coordinates: (a) 12.8 m, 150° (b) 3.30 cm, 60.0° (c) 22.0 in., 215°. Exercise 9: Given the vectors A = 2.00i+6.00^j and B = 3.00 i +2.00^j, (a) draw the vector sum C = A + B and the vector difference D = A - B. (b) Calculate C and D, first in terms of unit vectors and then in terms of polar coordinates, with angles measured with respect to the +x axis. Exercise 1: A particle undergoes three consecutive displacements: dl = (15^i +30^j + 12^ k) cm, d2 = (23^i + 14^j +5.0 k) cm and d3 = (-13^i + 15^j) cm. Find the components of the resultant displacement and its magnitude Exercise 2: Vector A has x and y components of -8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and -6.60 cm, respectively. If A + B - 3C = 0, what are the components of C? Exercise 3: For A = 3^i +^j - ^k, B = -^i + 2^j + 5^k, and C = 2^j + 3^k, find C (AB). and A x(B+C)