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A body is thrown on a rough horizontal surface such that the frictional force is varying with distance as f=(8x+5)N . Find the work done by friction on the body if it stops after travelling a distance of 10m _______

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answer is 450J.

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Detailed Solution

W=∫f→⋅ds→=∫010 (8x+5)dxW=−8∫010 xdx+5∫010 dxW=8×x22+5[x]010W=(4×100)+(5×10)=450J
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