An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < 9 N , 5 N># and the second is #F_2 = < 7 N, -6 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2016-06-19T20:34:39

#a=8.02" "m/s^2#

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#F_1=<9,5>" ; "F_2=<7,-6>#

#F_1=9i+5j" ; "F_2=7i-6j#

#vec F_R:"Resultant vector"#

#vec F_R=(9+7)i+(5-6)j#

#vec F_R=16i-j#

#"Magnitude of F_R:"#

#F_R=sqrt(16^2+(-1)^2)#

#F_R=F_"net"=sqrt(256+1)#

#F_"net"=sqrt 257=16.03" N"#

#a:"acceleration of object"#

#a=F_"net"/m#

#a=(16.03)/2#

#a=8.02" "m/s^2#