What is the kinetic energy of a 0.5 kg mass moving at 4 m/s?

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Multiple Choice

What is the kinetic energy of a 0.5 kg mass moving at 4 m/s?

Explanation:
Kinetic energy depends on both mass and the square of velocity, given by KE = 1/2 m v^2. Plugging in the numbers: v^2 = 4^2 = 16, and (1/2) m v^2 = (1/2)(0.5)(16) = 0.25 × 16 = 4. The energy is measured in joules, so the result is 4 J. This shows why the answer is 4 J: the 1/2 factor and the v^2 term set the scale, and doubling velocity would quadruple the energy, while mass scales it linearly. A common mistake is omitting the 1/2, which would give 8 J.

Kinetic energy depends on both mass and the square of velocity, given by KE = 1/2 m v^2. Plugging in the numbers: v^2 = 4^2 = 16, and (1/2) m v^2 = (1/2)(0.5)(16) = 0.25 × 16 = 4. The energy is measured in joules, so the result is 4 J. This shows why the answer is 4 J: the 1/2 factor and the v^2 term set the scale, and doubling velocity would quadruple the energy, while mass scales it linearly. A common mistake is omitting the 1/2, which would give 8 J.

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