solve the problem below Three forces of magnitudes F1 = 4.0 N, F2 = 6.0 N, and F
ID: 2129168 • Letter: S
Question
solve the problem below
Three forces of magnitudes F1 = 4.0 N, F2 = 6.0 N, and F3 = 8.0 N are applied to a block of mass to m = 2.0 kg, initially at rest, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). Calculate the magnitude of the resultant force Fr = F1 + F2 + F3 acting on the block. Express the magnitude of the resultant force in newtons to two significant figures. What angle does Fr make with the positive x axis? Express your answer in degrees to two significant figures. What is the magnitude of the block's acceleration vector, arightarrow? Express your answer to two significant figures.Explanation / Answer
A/ Fnet = 4cos25i + 4sin25j - 8i + 6cos35 i - 6sin35j
= 0.54i - 1.75j
|Fnet| = sqrt(0.54^2 + 1.75^2) = 1.83 N
B. angle = 360 - tan-1(1.75 / 0.54) = 287.15 degrees
c. a =Fnet/m = 1.83 / 2 = 0.915 m/s2
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