(5%) Problem 14: An object of mass m has these three forces acting on it (there

Question

(5%) Problem 14: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F1-1 N, F2-9 N, and F3-2 N. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards ©theexpertta.com 25% Part (a) What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and J Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining:S 10% per attempt) IFI 4 5 6 1 2 3 detailed view 0 Submit Hint Hints: 5% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. 25% Part (b) What is the magnitude of the net force, in newtons? 25% Part (c) What is the angle , in degrees, of the net force, measured from the +x-axis? Enter an angle between-180° and 180°. 25% Part (d) What is the magnitude, lal of the acceleration, in meters per square second, if the block has a mass of 5.5 kg?

Explanation / Answer

part(a)

net force Fnet = F2i - F1j - F3i = (F2 - F3) i - F1j

part(b)

Fnet = (9-2)i - 1j = 7i - j

magnitude = sqrt(7^2+1^2) = 7.07 N

part(c)

theta = tan^-1(-1/7) = -8.13

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part (d)

acceleration a = Fnet/m = 7.07/5.5 = 1.28 m/s^2

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