two forces are applied to a car in an effort to move it, as shown in the followi

Question

two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 424 N and F2 = 393 N. (Assume up and to the right as positive directions.)

    (a) What is the resultant of these two forces?     

                magnitude                                                 N                              direction                                   two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 424 N and F2 = 393 N. (Assume up and to the right as positive directions.)

Explanation / Answer

a) x comp of Fnet = 393*sin(30 degree) - 424*sin(10 degree)=122.87 N

y comp of Fnet = 393*cos(30 degree) + 424*cos(10 degree)=757.90 N

F net = sqrt((757.90)^2+(122.87)^2)=767.80 N

angle = arctan(122.87/757.90) = 9.21 degrees with the vertical towards right

b) a = F/m = 767.80/3000 = 0.26 m/s^2

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