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What is the kinetic energy of a particle of mass m moving with velocity kx?

1. 1/2 m k^2 x^2
2. 1/2 m x^2
3. 1/2 m k^2
4. 1/2 m x

Correct answer: 1/2 m k^2 x^2

Solution

The kinetic energy of a particle is given by KE = 1/2 m v^2. Substituting v = kx, we get KE = 1/2 m (kx)^2 = 1/2 m k^2 x^2.

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