An object with a mass of #8 kg# is acted on by two forces. The first is #F_1= < -3 N , 2 N># and the second is #F_2 = < 6 N, -3 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2017-01-11T06:18:46

The acceleration is #=〈3/8,-1/8〉ms^-2# in the direction #=-18.4#º

The resultant force acting on the object is

#vecF=vecF_1+vecF_2#

#=〈-3,2〉+〈6,-3〉=〈3,-1〉#

Use Newton's second law to find the acceleration

#vecF=mveca#

#veca=vecF/m=1/8〈3,-1〉=〈3/8,-1/8〉ms^-2#

The direction is

#=arctan-1/3=-18.4#º