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Since height is the same for both balls, their velocities on reaching the ground will be the same. If K.E.₁ = 1/2 m₁v₀² and K.E.₂ = 1/2 m₂v₀², then:

1. K.E.₁ = K.E.₂
2. K.E.₁ > K.E.₂
3. K.E.₁ < K.E.₂
4. K.E.₁ = 1/2 K.E.₂

Correct answer: K.E.₁ > K.E.₂

Solution

The kinetic energy depends on both mass and velocity. Since the velocities are the same for both balls, the ball with the greater mass (m₁ or m₂) will have greater kinetic energy. Thus, if m₁ > m₂, K.E.₁ > K.E.₂.

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