An object with a mass of #14 kg# is acted on by two forces. The first is #F_1= < 4 N , 6 N># and the second is #F_2 = < 2 N, 9 N>#. What is the object's rate and direction of acceleration?

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Answer 1 · 2017-01-08T18:22:13

#veca=((6/14),(15/14))ms^(-2)=1/14(6hatveci+15hatvecj)ms^(-2)#

direction to #x-#axis: #tan^(-1)(5/2)#

Net force =mass #xx#acceleration

In this case we have

# vecF_1=((4),(6))N#

# vecF_2=((2),(9))N#

net force

#=SigmavecF=vecF_1+vecF_2=((4),(6))+((2),(9))N#

#SigmaF=((6),(15))N#

#N2L#

#((6),(15))=14veca#

#veca=((6/14),(15/14))ms^(-2)#

direction to #x-#axis

#tan^(-1)((15/14)/(6/14))=tan^(-1)(15/6)=tan^(-1)(5/2)#