Respuesta :

Answer:

  • [tex]-100\ J[/tex]

Step-by-step explanation:

1. Find acceleration:

  • [tex]m=2\ kg[/tex]
  • [tex]F=-5\ N[/tex]
  • [tex]a=\frac{F}{m}[/tex]  (Newton's second law)
  • [tex]a=\frac{-5}{2} =-2.5\ \frac{m}{s^{2}}[/tex]

2. Find distance traveled:

  • [tex]v_0=10\ \frac{m}{s}[/tex]
  • [tex]v=0[/tex]
  • [tex]a=-2.5\ \frac{m}{s^{2} }[/tex]
  • [tex]v^2-v_0^2=2ad[/tex] (Kinematic equation)
  • [tex]-100=-5d[/tex]
  • [tex]d=20\ m[/tex]

3. Find work done by friction:

  • [tex]W=Fd[/tex] (Work formula when angle between Force and Displacement vectors are 0°)
  • [tex]W=-5\times20=-100\ J[/tex]
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