A particle of mass \( m \) has a velocity of \( \mathbf{v} = (v_x \mathbf{i} + v_y \mathbf{j} + v_z \mathbf{k}) \). What is the correct expression for its kinetic energy?- a. \( \frac{m(v_x^2 \mathbf{i} + v_y^2 \mathbf{j} + v_z^2 \mathbf{k})}{2} \)- b. None of these choices.- c. \( \frac{m(v_x^2 + v_y^2 + v_z^2)}{2} \)- d. \( \frac{m}{2}(2v_x + 2v_y + 2v_z) \)- e. \( \frac{m}{2}(2v_x \mathbf{i} + 2v_y \mathbf{j} + 2v_z \mathbf{k}) \)

Concept: The energy an object has as a result of motion is known as kinetic energy. A force must be…

Answered: A particle of mass m has a velocity of…

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A particle of mass m has a velocity of v = (v₂i + vj + v₂k). What is the correct expression for its kinetic energy? O a. O b. O c. O d. O e. m(v2i+vyj + v₂²k)/2 None of these choices. m(vx² + vy² + V₂²)/2 m/2(2vx + 2Vy + 2V₂) m/2(2v,i + 2vj + 2v₂k)