Answer:
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]