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The displacement vectors
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Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
- Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.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_forwardVector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forward
- 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_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_forwardA rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by: x = -0.31t2 +7.2t+28 and y = 0,22t² - 9.1t+ 30. A) Att = 15 s, what is the rabbit's position vector in unit-vector notation and n magnitude-angle notation? B) Find the velocity vector at time t = 15 s. c) find the acceleration a at time t = 15s.arrow_forward
- how do i find the net displacement vector, magnitude and direction of it, if i am told a student walks 100m north, 500m west, 700m east and 300m south?arrow_forwardGiven two vectors a = 4i − 3j and b = 6i + 8j, find the magnitude and directions of a, of b, of a + b, of b − a and of a – b and provide graphs for each.arrow_forwardA velocity vector, with magnitude v= 50.8m/s , is directed vertically upwards. The coordinate axes are chosen such that the x axis is rotated clockwise by an angle θ= 45.6∘ below the horizontal, as shown. What is the x component, in meters per second, of the velocity vector, v→? What is the y component, in meters per second, of the velocity vector, v→?arrow_forward
- Consider the three displacement vectors A = (3i – 3j) m, ,B = (i - 4j) m, and C = ( - 2i + 5j)m. Use the component method to determine (a) the magnitude and direction of the vector D = A + B + C and (b) the magnitude and direction of E = - A - B + C.arrow_forwardCalculate the magnitude and direction of the resultant of the two vectors a) 50 km E and b) 70 km 60* NE.2) An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north. Finally, it returns to its starting point by travelling a distance of 525 km. How far did the airplane travelled due north?arrow_forwardGiven two vectors a = 5i + 5j and b = 6i − 4j, find the magnitude and direction with respect to the +x-axis of(a) a + b(b) 2a + b(c) a − barrow_forward
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