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  • Calculating Velocity from Kinetic Energy: A Step-by-Step Guide
    Here's how to solve this problem:

    Understanding the Concepts

    * Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * m * v²

    * KE = Kinetic energy (in Joules)

    * m = mass (in kilograms)

    * v = velocity (in meters per second)

    Solving the Problem

    1. Rearrange the kinetic energy formula to solve for velocity:

    v² = (2 * KE) / m

    2. Plug in the given values:

    v² = (2 * 810 J) / 20 kg

    3. Calculate:

    v² = 81 m²/s²

    4. Take the square root of both sides to find the velocity:

    v = √81 m²/s² = 9 m/s

    Therefore, the object's speed is 9 meters per second.

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