An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= < 2 N , -7 N># and the second is #F_2 = < 1 N, 7 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2016-05-13T09:22:33

#vec R=3N#

#"angle :"alpha=0 ^o#

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#vec F_1=<2N,-7N>#
#vec F_2=<1N,7N>#

#Sigma F_x=F_"1x"+F_"2x"#
#vec F_"1x"=2#
#vec F_"2x"=1#

#Sigma vec F_x=2+1=3#

#Sigma vec F_y=vec F_"1y"+vec F_"2y"#

#vec F_"1y"=-7#
#vec F_"2y"=7#

#Sigma vec F_y=-7+7=0#

#"Resultant="vec R=sqrt(Sigma vec F_x^2+Sigma vec F_y^2)#

#vec R=sqrt(3^2+0^2)#

#vec R=sqrt (3^2)#

#vec R=3N#

#"angle :"alpha=0 ^o#