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  • Calculating Velocity from Kinetic Energy: Physics Problem & Solution
    Here's how to solve this problem:

    1. Understand the Concepts

    * Kinetic Energy: The energy an object possesses due to its motion. It's calculated using the formula: KE = (1/2) * mv², where:

    * KE is kinetic energy (in Joules)

    * m is mass (in kilograms)

    * v is velocity (in meters per second)

    2. Set up the Equation

    We know:

    * KE = 1.5 x 10⁴ J

    * m = 80 kg

    We need to find:

    * v (velocity)

    3. Solve for Velocity

    * 1.5 x 10⁴ J = (1/2) * 80 kg * v²

    * 1.5 x 10⁴ J = 40 kg * v²

    * v² = (1.5 x 10⁴ J) / 40 kg

    * v² = 375 m²/s²

    * v = √375 m²/s²

    * v ≈ 19.4 m/s

    4. Convert to km/h

    * 1 m/s = 3.6 km/h

    * 19.4 m/s * 3.6 km/h/m/s ≈ 70 km/h

    Therefore, the speedometer reading is approximately 70 km/h.

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