Two dogs play tug of war with a rope toy that has a mass of 0.50 kg. If one dog pulls on the toy with a force of 140.0 N, and the other dog pulls in the opposite direction with a force of 138.0 N, what is the horizontal acceleration of the toy?

Answer :

Answer:[tex]4\ m/s^2[/tex]

Explanation:

Given

mass of toy [tex]m=0.5\ kg[/tex]

Force by first dog [tex]F_1=140\ N[/tex]

Force by second dog is [tex]F_2=138\ N[/tex]

Net force on the dog is

[tex]F_{net}=F_1-F_2=140-138[/tex]

[tex]F_{net}=2\ N[/tex]

and [tex]F_{net}=ma[/tex]

[tex]a=\dfrac{F_{net}}{m}[/tex]

[tex]a=\dfrac{2}{0.5}[/tex]

[tex]a=4\ m/s^2[/tex]

So, horizontal acceleration of the toy is [tex]4\ m/s^2[/tex]

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