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Question
two identical balls are rolling down a hill. ball 2 is rolling faster than ball 1. which ball has more motion energy (kinetic energy)? ball 1 ball 2 both have the same kinetic energy neither have any kinetic energy
Kinetic energy (motion energy) is given by the formula $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is velocity. The two balls are identical, so they have the same mass ($m_1 = m_2$). Ball 2 is rolling faster, meaning its velocity ($v_2$) is greater than Ball 1's velocity ($v_1$). Since $KE$ is proportional to the square of velocity when mass is constant, a higher velocity leads to higher kinetic energy. Thus, Ball 2 has more kinetic energy.
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Ball 2