block Calculate the magnitude of the resutant force F, F+ F+F aing on the Expres
ID: 1580694 • Letter: B
Question
block Calculate the magnitude of the resutant force F, F+ F+F aing on the Express the magnitude of the resultant force in newtons to two significant figures. Three forces of magnitudes F1 = 4.0 N, F, 6.0 N, and F3=8.0 N are applied to a block of mass m 2.0 kg initially at rest, at angles shown on the diagram. (Figure 1)In this problem, you wil determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (Le, all angles are positive) View Available Hint(s) F.- 18 Submit Previous Answers Request Answer XIncorrect: Try Again; 5 attempts remaining Part B What angle does F, make with the positive x axis? Express your answer in degrees to two significant figures. View Available Hint(s) degrees Figure 1 of 1 Submit Part C 325 What is the magnitude of the block's acceleration vector, a? Express your answer to two significant figures 25° Viw Available Hinte) 0?Explanation / Answer
F = F1 + F2 + F3
F = (4 cos25 + 6 cos325 - 8)i + (4 sin25 + 6 sin325)j
F = 0.54i - 1.75 j N
(A) Magnitude = sqrt(0.54^2 + 1.75^2)
= 1.83 N
(B) theta = 360 - tan^-1(1.75 / 0.54)
= 287 deg
(c) a= F./m = 1.83 / 2 = 0.915 m/s^2
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