A) \[\frac{9.8}{2\sqrt{2}}m/{{s}^{2}}\]
B) \[\frac{9.8}{\sqrt{2}}m/{{s}^{2}}\]
C) \[9.8m/{{s}^{2}}\]
D) \[4.9m/{{s}^{2}}\]
Correct Answer: A
Solution :
Acceleration of the body on inclined plane. \[a=g(\sin \theta -\mu \cos \theta )\] \[=g(\sin {{45}^{o}}-\mu \cos {{45}^{o}})\] \[=g\left( \frac{1}{\sqrt{2}}-0.5\frac{1}{\sqrt{2}} \right)\] \[=\frac{g}{\sqrt{2}}(1-0.5)=\frac{g}{2\sqrt{2}}\] \[=\frac{9.8}{2\sqrt{2}}m/{{s}^{2}}\]
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