Macy and Sam are trying to push a large box across a floor. Both girls push with an equal amount of force. The total amount they exert on the box is 500 Newtons. What amount of force does each girl apply? *

Respuesta :

Answer:

250 N

Explanation:

Assuming both girls are pushing in the same direction

Given

Total amount of force,they exert on box= 500 N

let force exerted by Macy = [tex]F_{M}[/tex]

     force exerted by Sam= [tex]F_{S}[/tex]

⇒ [tex]F_{M}[/tex]+[tex]F_{S}[/tex]=500 N

But also given both girls push with equal amount of force

⇒ [tex]F_{M}[/tex]=[tex]F_{N}[/tex]

Therefore

[tex]F_{M}[/tex]+ [tex]F_{M}[/tex]=500 N

[tex]2\times F_{M}[/tex]=500 N

[tex]F_{M}[/tex]=250 N

⇒  [tex]F_{M}[/tex]=250 N , [tex]F_{N}[/tex]= 250 N

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