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Question Number 69045 by jagannath19 last updated on 18/Sep/19

Answered by Rio Michael last updated on 18/Sep/19

F_(net) = 100cos53°  ma ≈ 60  2(a) = 60  a = 30m/s^2

$${F}_{{net}} =\:\mathrm{100}{cos}\mathrm{53}° \\ $$$${ma}\:\approx\:\mathrm{60} \\ $$$$\mathrm{2}\left({a}\right)\:=\:\mathrm{60} \\ $$$${a}\:=\:\mathrm{30}{m}/{s}^{\mathrm{2}} \\ $$

Answered by mr W last updated on 18/Sep/19

F_x =100 cos 53°≈60 N  F_y =100 sin 53°≈80 N  ma_x =F_x   ⇒a_x =(F_x /m)=((60)/2)=30 m/s^2   ma_y =F_y −mg  ⇒a_y =(F_y /m)−g=((80)/2)−10=30 m/s^2   a=(√(a_x ^2 +a_y ^2 ))=(√((30)^2 +(30)^2 ))  =30(√2)  =42.4 m/s^2

$${F}_{{x}} =\mathrm{100}\:\mathrm{cos}\:\mathrm{53}°\approx\mathrm{60}\:{N} \\ $$$${F}_{{y}} =\mathrm{100}\:\mathrm{sin}\:\mathrm{53}°\approx\mathrm{80}\:{N} \\ $$$${ma}_{{x}} ={F}_{{x}} \\ $$$$\Rightarrow{a}_{{x}} =\frac{{F}_{{x}} }{{m}}=\frac{\mathrm{60}}{\mathrm{2}}=\mathrm{30}\:{m}/{s}^{\mathrm{2}} \\ $$$${ma}_{{y}} ={F}_{{y}} −{mg} \\ $$$$\Rightarrow{a}_{{y}} =\frac{{F}_{{y}} }{{m}}−{g}=\frac{\mathrm{80}}{\mathrm{2}}−\mathrm{10}=\mathrm{30}\:{m}/{s}^{\mathrm{2}} \\ $$$${a}=\sqrt{{a}_{{x}} ^{\mathrm{2}} +{a}_{{y}} ^{\mathrm{2}} }=\sqrt{\left(\mathrm{30}\right)^{\mathrm{2}} +\left(\mathrm{30}\right)^{\mathrm{2}} } \\ $$$$=\mathrm{30}\sqrt{\mathrm{2}} \\ $$$$=\mathrm{42}.\mathrm{4}\:{m}/{s}^{\mathrm{2}} \\ $$

Commented by necxxx last updated on 19/Sep/19

wow.Thank you so much

$${wow}.{Thank}\:{you}\:{so}\:{much} \\ $$

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