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A ball of mass 2 kg and another of mass 4 kg are dropped together from a 60 feet tall building. After a fall of 30 feet each towards earth, their respective kinetic energies will be in the ratio of:

1. 1 : √2
2. √2 : 1
3. 1 : 4
4. 1 : 2

Correct answer: 1 : 2

Solution

The kinetic energy of an object is given by KE = (1/2)mv². Since both balls fall the same distance, they will have the same velocity due to the same acceleration (gravity). Thus, the ratio of their kinetic energies depends only on their masses, which is 2:4 or 1:2.

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