A) \[\sqrt{2}:1\]
B) \[1:4\]
C) \[1:2\]
D) \[1:\sqrt{2}\]
Correct Answer: C
Solution :
Key Idea: In a free fall, two balls of different mass will acquire the same velocity after falling through same height. From key idea,\[{{v}_{1}}={{v}_{2}}=v\]at a 30 ft from falling point. Here, \[{{m}_{1}}=2kg,{{m}_{2}}=4kg\] Thus, \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{\frac{1}{2}{{m}_{1}}{{v}^{2}}}{\frac{1}{2}{{m}_{2}}{{v}^{2}}}=\frac{{{m}_{1}}}{{{m}_{2}}}=\frac{2}{4}=\frac{1}{2}\]
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