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26 April, 17:27

How fast must a 1000 kg car be moving to have a kinetic energy of 1.0 kWh

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Answers (2)
  1. 26 April, 18:00
    0
    1 watt = 1 Joule per second

    1 kW = 1,000 watts = 1,000 J/s

    1 hour = 3600 seconds

    ==> 1 kWh = 3,600,000 Joules

    Kinetic energy: KE = 1/2 m v²

    3,600,000 J = (1/2) (1,000 kg) (v²)

    v² = (3,600,000 J) / (500 kg) = 7,200 m²/s²

    v = √ (7,200 m²/s²) = 84.8 m/s (about 190 mph)
  2. 26 April, 19:27
    0
    From definition 1 kWh = 3600000 J

    The formula for KE = 1/2 * m * v^2

    3600000 = 1/2 * 1000 * v^2

    3600000 = 500v^2

    v^2 = 7200

    v = 84.85 m/s
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