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 feet 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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