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A block is projected with speed 20m/s on a rough horizontal surface. The coefficient of friction between the surface varies with time as shown in figure. The speed of body at the end of 4 second will be

A block is projected with speed 20m/s on a rough horizontal surface. The coefficient of friction between the surface varies with time as shown in figure. The speed of body at the end of 4 second will be

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Grade:11

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Dear student,

Area under the\mu -tcurve multiplied bymgwill give the change in momentum in that time.

Hence\Delta(mv)=m\Delta v=1.8mg
\implies \Delta v=1.8g=18m/s
Hence final speed=20m/s-18m/s=2m/s

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