An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= <5 N , 7 N># and the second is #F_2 = < 8 N, -2 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2016-06-20T22:56:15

#a=6.97" "m/s^2#

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#F_1=<5,7>" ; "F_2=<8,-2>#

#F_R:"Resultant force"#

#F_R=(5+8)i+(7-2)j#

#F_R=13i+5j#

#"The magnitude of "F_R " can be calculated using:" #

#F_R=sqrt(13^2+5^2)#

#F_R=sqrt(169+25)#

#F_R=sqrt194#

#F_R=13.93" N"#

#a:"acceleration m:mass of object"#

#a=F_R/m#

#a=(13.93)/2#

#a=6.97" "m/s^2#