Two electric force vectors act on a particle. Their x-components are 15.5 N and

Question

Two electric force vectors act on a particle. Their x-components are 15.5 N and -7.65 N and their y-components are -14.0 N and -4.20 N, respectively. For the resultant electric force, find the following. (a) the x-component _________ Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) the y-component __________ Your response differs from the correct answer by more than 10%. Double check your calculations. N (c) the magnitude of the resultant electric force ______ Your response differs from the correct answer by more than 10%. Double check your calculations. N (d) the direction of the resultant electric force, measured counterclockwise from the positive x-axis _______ Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate counterclockwise from the x-axis

Explanation / Answer

F1x = 15.5 N

F2x = - 7.65 N

F1y = -14 N and F2y = -4.20 N

F1 = 15.5i - 14 j

F2 = -7.65i - 4.20j

F = F1 + F2 = (15.5 - 7.65)i + (-14 - 4.20)j = 7.85i - 18.20j N

(A) 7.85 N

(B) -18.20 N

(C) magnitude = sqrt(Fx^2 + Fy^2) = 19.82 N

(D) direction = 360 - tan^-1(18.20 / 7.85) = 293.3 deg

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.