Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(13%) Problem 7: An object of mass m has these three forces acting on it (there

ID: 1772642 • Letter: #

Question

(13%) Problem 7: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F1 4N, F2 9N, and F3 2 N. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards Otheexpertta.c × 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 Submissions Attempts remainn (5% per attempt) detailed view 2 0 END DEL CLEAR Submit Hint I give up! Hints: 290 deduction per hit. Hints remaining: 1 Feedback: 3% 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? 25% Part (d) What is the magnitude, la of the acceleration, in meters per square second, if the block has a mass of 5.7 kg?

Explanation / Answer

a) f1x = 0

f1y = -f1

f2x = f2

f2y = 0

f3x = -f3

f3y = 0

fx = f1-f3

fy = -f2

f = (f1-f3)i+(-f2)j

b) f = (4-2)i+(-9)j

f = 2i-9j

magnitude of f = sqrt(2^2+9^2) = 9.22 N

c) theta = tan^-1(-9/2) = -77.47 degrees or 282.53 degrees from x axis

d) f = ma

a = f/m = 9.22/5.7 = 1.62 m/s^2