An object with a mass of #9 kg# is acted on by two forces. The first is #F_1= < -1 N , 8 N># and the second is #F_2 = < 6 N, -3 N>#. What is the objects rate and direction of acceleration?

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Answer 1 · 2016-06-21T07:36:37

#a=(5sqrt2)/9" "m/s^2#

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#F_1=<-1,8>" ; "F_2=<6,-3>#

#F_1=-i+8j" ; "F_2=6i-3j#

#F_R:" Resultant Vector"#

#F_R=(-1+6)i+(8-3)j#

#F_R=5i+5j#

#"the magnitude of "F_R" is "F_"net"=sqrt(5^2+5^2)#

#F_"net"=sqrt(25+25)#

#F_"net"=5sqrt2" "N#

#a:"acceleration of object , m=9 kg"#

#a=F_"net"/m#

#a=(5sqrt2)/9" "m/s^2#