142k views
2 votes
Roy pushes a box of mass 19.8 kilograms across a floor by exerting a horizontal force of 93.2 newtons. The coefficient of kinetic friction between the box and the floor is 0.355, and Roy pushes the box 16.4 meters. What work does Roy do? Include units in your answer. Answer must be in 3 significant digits.

User Jitendra
by
4.1k points

1 Answer

2 votes

Answer:


W_r=398.77912J

Step-by-step explanation: A box that has a mass of 19.8kg is pushed across 16.4m on the floor with a force of 93.2N, the floor has 0.355 as the coefficient of kinetic friction:

Visual Illustration of the problem:

Net work done by roy:


\begin{gathered} F_n=F_r+F_f\Rightarrow F_n=F_r+\mu N \\ \mu=0.355\Rightarrow\text{ Coefficient of kinatic friction} \\ N=(19.8\operatorname{kg})\cdot(9.8ms^(-2))\Rightarrow\text{ Normal force on the box} \\ \therefore\Rightarrow \\ F_n=(93.2N)-(0.355)\cdot(19.8\operatorname{kg}\cdot9.8ms^(-2)) \\ F_n=24.3158 \\ \therefore\Rightarrow \\ W_r=F_n\cdot d\Rightarrow W_r=(24.3158)\cdot(16.4m)=398.77912J \\ W_r=398.77912J \end{gathered}

Roy pushes a box of mass 19.8 kilograms across a floor by exerting a horizontal force-example-1
User Rafidheen
by
4.4k points