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When Isabella pushes a box of mass 5.25 kilograms with a force of 15.7 newtons, it accelerates by a rate of 2.50 meters/second2. What is the force due to friction in this scenario?

Respuesta :

Resultant force on the box = mass x acceleration

Sigma F = ma

Fr: friction force

15.7 - Fr = 5.25 x 2.5

15.7 - Fr = 13.125

Fr = 15.7 - 13.125 = 2.575 N

If the frictional force is F, the unit of acceleration is m/s²

according to Newton first law, [tex]Fnet=ma[/tex]

But you are unaware of [tex]Fnet.[/tex]

⇒[tex]Fnet=Fpush+Ffriction[/tex]

You can see that you are currently aware of everything except for[tex]Fnet[/tex]and [tex]Ffriction.[/tex]

  • [tex]Fpush = 15.7N\\m= 5.25kg[/tex]
  • [tex]a=2.5[/tex] m/s²

The only unknowable variable is  [tex]Ffriction[/tex].

Determination of frictional force

⇒[tex]Fnet=Fpush+Ffriction[/tex]

⇒[tex]Fnet=ma[/tex]

replacing [tex]Fnet[/tex] with [tex]Fpush+Ffriction[/tex]

⇒[tex]Fpush+Ffriction =ma[/tex]

[tex]15.7- Ffriction[/tex] [tex]= 5.25[/tex] × [tex]2.50[/tex]

[tex]15.7-Ffriction= 13.125[/tex]

[tex]Ffriction = 15.7-13.125[/tex]

[tex]Ffriction = 2.575N[/tex]

The force due to friction is [tex]2.575N[/tex]

learn more about the force due to friction https://brainly.com/question/25534663

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