The ratio of the final kinetic energy to the initial kinetic energy of an object is one half. If the initial velocity of the object is 10 m/s, what is the final velocity?

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Quizplus · Accepted Answer

The ratio of final kinetic energy to initial kinetic energy is 1/2. The formula for kinetic energy is KE = (1/2)mv^2, where m is the mass of the object and v is its velocity. Since the mass is constant, we can simplify the ratio to (1/2)(vf^2)/(vi^2) = 1/2. Solving for vf, we get vf = sqrt(vi^2/2) = sqrt(100/2) = 7.1 m/s. Therefore, the final velocity is 7.1 m/s.

The Ratio of the Final Kinetic Energy to the Initial