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Q: A Body n...

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Q: A Body of mass 60 kg is dragged with just enough force to start moving on a rough surface with coefficients of static and kinetic frictions 0.5 and 0.4 respectively . On applying the same force , what is the acceleration ?(g = 9.8m/s²)

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Solution

$W h e n t h e b o d y i s j u s t a b l e t o m o v e t h e n F = μ_{s} m g = 0.5 \times 60 \times 9.8 = 294 N a n d w h e n t h e b o d y m o v e s u n d e r t h e i n f l u e n c e o f t h e k i n e t i c f r i c t i o n t h e n F + μ_{k} m g = 294 + 0.4 \times 60 \times 9.8 = 60 a o r 60 a = 294 + 235.2 = 529.2 o r a = \frac{529.2}{60} = 8.82 m / s^{2}$

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