Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided 10 -10 10 10 Find the direction angle of vector v to the nearest tenth of a degree. Equation editor does not include the grouping symbols and" that are necessary for writing a vector in component form. For this question, use braces to write a vector in component form. For example, the vector 2,3> should be wrtten as 12,3) of 2 Answered

Answer 1

v vector can be decomposed along x-axis & y - axis From, the figure, v_x = 12 units v_y = 2 units Therefore tan theta = v_y/v_x = 2/12 = 1/6 Therefore theta = tan^-1 (1/6) = 9.46 degree rightwardsdoublearrow the direction is 9.46 degree with the x-axis in anticlockwise direction rightwardsdoublearrow the vector is {12, 2} work done = F vector middot S vector [F vector is the applied force to make a displacement s vector] Here, due to a force of 60 lbs, the mower has moved 100 ft. the force is at an angle 45 degree with the horizontal displacement Therefore w = F vector middot PQ vector = vert F vector vert vert PQ vector vert cos theta = 60 times 100 times cos 45 degree = 4242.64 ft lb. F = force applied = 60 mu_0 f PQ = 100 ft

Answer 2

v vector can be decomposed along x-axis & y - axis From, the figure, v_x = 12 units v_y = 2 units Therefore tan theta = v_y/v_x = 2/12 = 1/6 Therefore theta = tan^-1 (1/6) = 9.46 degree rightwardsdoublearrow the direction is 9.46 degree with the x-axis in anticlockwise direction rightwardsdoublearrow the vector is {12, 2} work done = F vector middot S vector [F vector is the applied force to make a displacement s vector] Here, due to a force of 60 lbs, the mower has moved 100 ft. the force is at an angle 45 degree with the horizontal displacement Therefore w = F vector middot PQ vector = vert F vector vert vert PQ vector vert cos theta = 60 times 100 times cos 45 degree = 4242.64 ft lb. F = force applied = 60 mu_0 f PQ = 100 ft