A batsman hits two balls of different masses 0.5 kg and 1 kg out of a stadium, the velocity with which these balls travel is the same. What would be the ratio of their kinetic energies?

1:2

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2:1

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1:4

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4:1

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Solution

The correct option is A
1:2

The mathematical expression for the kinetic energy of an object is $K . E . = \frac{1}{2} m v^{2}$ , where m is the mass of the object and v is the velocity of the object. Since velocity remains the same in both cases, when the mass doubles for the second ball, the corresponding kinetic energy is also twice, as the kinetic energy is directly proportional to the mass of the object.

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