Answer :
Answer:
weight = 20 N
Explanation:
We can find the weight of the object, which has the friction force of 12 N and the friction coefficient of 0.60, by first finding its normal force with this formula:
[tex]\boxed{f=\mu\cdot N}[/tex]
where:
- [tex]f=\texttt{friction force}[/tex]
- [tex]\mu=\texttt{friction coefficient}[/tex]
- [tex]N=\texttt{normal force}[/tex]
Given:
- [tex]f=12\ N[/tex]
- [tex]\mu=0.60[/tex]
Then:
[tex]\begin{aligned}\\f&=\mu\cdot N\\12&=0.60\times N\\N&=20\ N\end{aligned}[/tex]
Refer to the attached drawing, since the object does not move up or down, then its resultant force with respect to the y-axis should equals to 0.
[tex]\begin{aligned}\\\Sigma F_y&=N-w\\0&=20-w\\w&=20\ N\end{aligned}[/tex]