An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < -2 N , 5 N># and the second is #F_2 = < 4 N, -1 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2017-01-27T07:05:45

The net acceleration is #=sqrt5 ms^-2# in the direction #=63.4#º

The resultant force is

#vecF=vecF_1+vecF_2#

#vecF=<-2,5>+<4,-1> = <2,4>#

We use Newton's secnd Law

#vecF=m*veca#

#veca=vecF/m=1/2*<2,4> = <1,2>#

The net acceleration is #=||veca||=||<1,2>||=sqrt(1+4)=sqrt5ms^-2#

The direction is #=arctan(2/1)=63.4#º