A) \[\sqrt{2}:1\]
B) \[1:4\]
C) \[1:2\]
D) \[1:\sqrt{2}\]
Correct Answer: C
Solution :
\[{{m}_{1}}=2\,\,kg\] \[{{m}_{2}}=4\,\,kg;\,\,{{h}_{1}}=60\,\,ft;\,\,{{h}_{2}}=30\,\,ft\] According to the law of conservation of energy,\[\Delta \,\,K.E.=\Delta \,\,P.E.\] \[\therefore \] \[\frac{K.E{{.}_{1}}}{K.E{{.}_{2}}}=\frac{{{m}_{1}}g({{h}_{1}}-{{h}_{2}})}{{{m}_{2}}g({{h}_{1}}-{{h}_{2}})}=\frac{2\,\,kg(60-30)}{4\,\,kg(60-30)}\] \[=\frac{2}{4}=1:2\]You need to login to perform this action.
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