An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 8 N , -2 N># and the second is #F_2 = < -5 N, 3 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2016-06-23T14:14:31

#a=sqrt10/4" "m/s^2#

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#F_1=<8,-2>" ; "F_2=<-5,3>#

#F_R=(8-5)i+(-2+3)j" ; "F_R=3i+j#

#"magnitude of "F_R" is : "F_"net"=sqrt(3^2+1^2)#

#F_"net"=sqrt(9+1)=sqrt10" "N#

#a=F_"net"/m#

#a=sqrt10/4" "m/s^2#