Inetic energy is directly proportional to the mass of the object and to the square of its velocity: k.E. = 1/2 m v2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. Kinetic energy is usually measured in units of joules (j); one joule is equal to 1 kg m2 / s2.
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Yes, 1joule = 1 kg m^2/s^2
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