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Question
a spaceship is traveling through space. suddenly, its kinetic energy decreases. what is most likely to be true about the speed of the spaceship? the speed increases to make up for the decrease in kinetic energy. the speed remains the same because speed and kinetic energy are not related. the speed increases as the kinetic energy is converted into speed. the speed decreases as the kinetic energy decreases.
The formula for kinetic energy is $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is speed. Assuming the mass of the spaceship remains constant, kinetic energy is directly related to the square of the speed. If kinetic energy decreases, and mass is constant, the speed must decrease because a smaller $KE$ (with constant $m$) implies a smaller $v$ (since $KE$ and $v^2$ are proportional). The other options are incorrect: speed and kinetic energy are related, kinetic energy doesn't convert into speed, and speed wouldn't increase to "make up" for decreased KE.
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The speed decreases as the kinetic energy decreases.