PLUS Cutnell, Physics, 9e General Physics 1 & 2 (Physics 181 & 182) d, Study &Pr

Question

PLUS Cutnell, Physics, 9e General Physics 1 & 2 (Physics 181 & 182) d, Study &Practice; Gradebook ent> Open Assignment SCREEN BACK RESOURCES ics Chapter 01, Problem 33 Problem 24At a 2At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As meme a result, three forces act on the ball, F1 , F2, and F3 (see the drawing). The magnitudes of F1 and F2 are F1 = onceets 81.0 81.0 newtons (N) and F2 = 86.0 N. Determine (a) the magnitude of F) and (b) the angle such that the oresultant force acting on the ball is zero. Probiem Problem Problem lts by Study (a) Number Units (b) Number Units

Explanation / Answer

Here ,

F1 = 81 N

F2 = 86 N

let the angle F3 is theta and magnitude is F3

Now , for the net force

Fnet = F1 + F2 + F3

0 = 81 * (cos(60) i - j * sin(60)) - 86 i + F3 * (cos(theta) i + j * sin(theta))

81 * cos(60) -86 + F3 * cos(theta) = 0 ----(1)

- 81 * sin(60) + F3 * sin(theta) = 0 -----(2)

solving for theta and F3

F3 = 83.6 N

theta = 57 degree

the magnitude of F3 is 83.6 N and the angle theta3 is 57 degree

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