A) 4.5 J
B) 2.5 J
C) 0.5 J
D) 1.5 J
Correct Answer: D
Solution :
The given, \[m=1.0\,kg,\,u=2\,m/s\] \[k=0.5\,J,\,x=100\,m\], v = ? Kinetic energy = ? \[{{F}_{r}}=-\frac{k}{x}=ma\] \[\Rightarrow \] \[-\frac{0.5}{100}=1\times a\] \[\Rightarrow \] \[a=-\frac{1}{200}m/{{s}^{2}}\] \[{{v}^{2}}={{u}^{2}}+2ax\] \[={{2}^{2}}-2\times \frac{1}{200}\times 100\] \[{{v}^{2}}=4-1\] \[{{v}^{2}}=3{{m}^{2}}/{{s}^{2}}\] Kinetic energy \[=\frac{1}{2}m{{v}^{2}}\] \[=\frac{1}{2}\times 1\times 3=1.5\,J\]
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