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  • Kinetic Energy of Rolling Tennis Balls: How Velocity Impacts Energy
    No, they do not have the same kinetic energy. Here's why:

    * Kinetic Energy Formula: Kinetic energy (KE) is calculated by the formula: KE = (1/2) * m * v^2

    * m = mass

    * v = velocity

    * Velocity Matters: The formula shows that kinetic energy is directly proportional to the square of the velocity. This means that even a small difference in velocity will result in a significant difference in kinetic energy.

    Example:

    Imagine two tennis balls, each with a mass of 0.05 kg.

    * Ball 1: Velocity = 2 m/s

    * Ball 2: Velocity = 4 m/s

    Calculating KE:

    * Ball 1: KE = (1/2) * 0.05 kg * (2 m/s)^2 = 0.1 Joules

    * Ball 2: KE = (1/2) * 0.05 kg * (4 m/s)^2 = 0.4 Joules

    Conclusion: Even though the balls have the same mass, the ball with a higher velocity (Ball 2) has four times the kinetic energy of the ball with a lower velocity (Ball 1).

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