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# Answer to Question #123988 in Mechanics | Relativity for Vidurjah Perananthan

Question #123988
Three boxes are stacked on top of each other. The top box weighs 5 kg, the middle 20 kg and the bottom box weighs 50 kg.
Draw out all the forces acting on the middle box
Determine the magnitude of the forces
1
2020-06-26T14:36:19-0400

Explanations & calculations

• Refer to the figure attached.
• To calculate each force, apply Newtons second law upward the each box.
• g=9.8 ms-2

• Considering the vertical equilibrium of the top box ,

• Considering the vertical equilibrium of the middle box,

"\\qquad\\qquad\n\\begin{aligned}\n\\small S-R -20g &= \\small 0\\\\\n\\small S &= \\small 49N+(20\\times9.8) = \\bold{245N}\n\\end{aligned}"

• Considering the vertical equilibrium of the box at the bottom,

"\\qquad\\qquad\n\\begin{aligned}\n\\small P-S-50g &= \\small 0\\\\\n\\small P &= \\small 245N + (50\\times9.8) =\\bold{735N} \n\\end{aligned}"

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