Consider two vectors ~ F1 and ~ F2 with magnitude F1 = 71 N and F2 = 96 N and wh

ID: 2114490 • Letter: C

Question

Consider two vectors ~ F1 and ~ F2 with magnitude F1 = 71 N and F2 = 96 N and where theta1= 292 and theta2 = 182. The

angles are measured from the positive x axis

with the counter-clockwise angular direction

as positive.

What is the magnitude of the resultant vec-

tor k~F k, where ~F = ~ F1 + ~ F2 ?

Answer in units of N

What is the direction of this resultant vec-

tor ~F ? Use counterclockwise as the positive

angular direction, between the limits of -180 degres and +180 degrees as measured from the positive x

axis.

Answer in units of degrees

angle b/w the vectors is 292-182 = 110 degree

so net F1+F2 = sqrt[F1^2 + F2^2+2F1F2cos(theta)]

= 97.95 N

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