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the force of friction between an object and the surface upon which it is sliding is 12 N and the coefficient between is 0.60. whats the weight?



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]

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