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Use the component method to add the vectors
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- The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42arrow_forwardThe rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of two corners are = 10.0 m at 50.0 and = 12.0 m at 30.0. (a) Find the perimeter of the rectangle. (b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.arrow_forwardWhat is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forward
- The magnitude of vector A is 8 km, and the magnitude of B is 6 km. Which of the following are possible values for the magnitude of A + B? Choose all possible answers. (a) 10 km (b) 8 km (c) 2 km (d) 0 (e) 2 kmarrow_forwardFigure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13arrow_forwardA firefighter, a distance d from a burning building, directs a stream of water from a fire hose at angle i above the horizontal as shown in Figure P3.16. If the initial speed of the stream is vi, at what height h does the water strike the building? Figure P3.16arrow_forward
- A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00 min, and finally travels northwest at 30.0 m/s for 1.00 min. For this 6.00-min trip, find (a) the total vector displacement, (b) the average speed, and (c) the average velocity. Let the positive x axis point east.arrow_forwardFigure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28arrow_forwardThe magnitudes of two vectors A and B are 12 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? (a) 14.4 and 4 (b) 12 and 8 (c) 20 and 4 (d) none of these.arrow_forward
- What is the y component of the vector (3i 8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answersarrow_forwardTwo consecutive golf balls are shot with in which displacements are: Δr1 = (301m) î Δr2 = (152m) î + (208m) j What is the magnitude of the net displacement and what is the angle in degrees does the net displacement vector make with the positive y-axis?arrow_forwardFind a vector v (in component form) so that the magnitude of v = 392 and when drawn in standard position, vector v makes a 117 degree angle with the positive x-axis.arrow_forward
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