A) \[2.8\,\,J\]
B) \[3.2\,\,J\]
C) \[3.8\,\,J\]
D) \[4.4\,\,J\]
Correct Answer: D
Solution :
\[Change\,\,in\,\,momentum=force\times time\] \[\Rightarrow \] \[{{p}_{2}}-{{p}_{1}}=0.2\times 10=2kg\,\,m/s\] \[\Rightarrow \] \[{{p}_{2}}={{p}_{1}}+2=10+2=12\,\,kg\,\,m/s\] Increase in\[KE=\frac{1}{2m}(p_{2}^{2}-p_{1}^{2})\] \[=\frac{1}{2\times 5}[{{(12)}^{2}}-{{(10)}^{2}}]\] \[=\frac{1}{10}\times (144-100)\] \[=4.4\,\,J\]
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