A) \[12.5\,\,m\]
B) \[5\,\,m\]
C) \[7.5\,\,m\]
D) \[10\,\,m\]
Correct Answer: D
Solution :
Here: Mass of cylinder\[m=10\,\,kg\] Initial velocity of the cylinder \[v=10\,\,m\] Coefficient of friction between the surface and cylinder\[\mu =0.5\] Kinetic energy of cylinder\[E=\frac{1}{2}m{{v}^{2}}\] \[=\frac{1}{2}\times 10\times {{10}^{2}}=500\,\,Nm\] ... (1) Work done in rolling the cylinder. \[W=m\times \mu g\times s=0.5\times 10\times 10\times s\] ? (2) As kinetic energy is consumed in doing the work Hence, equating these two value for equation (1) and (2) \[500=50s\] so, \[s=10\,\,m\]
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