Which statement best explains why translational kinetic energy has no directional…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

Which statement best explains why translational kinetic energy has no directional component? (a) Because mass is a scalar, multiplying it by velocity turns the velocity into a scalar, so any directional information is lost. (b) The speed in 12mv2\tfrac12 mv^2 is squared, eliminating any information about the direction of motion. (c) When kinetic energy is derived from the work–energy theorem, the dot product F⃗ ⁣⋅ ⁣s⃗\vec F\!\cdot\!\vec s makes the result positive, so the direction of motion never appears in the final expression. (d) Potential energy can cancel kinetic energy in a system, so physicists ignore the sign of velocity to make the total energy easier to add.

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