Answer :
Final answer:
Using the kinetic energy formula KE = 0.5 × m × v², and after converting the velocity of Logan's Prius to meters per second, the kinetic energy is calculated to be approximately 72,100 J, which is not matching any of the provided answer choices.
Explanation:
The kinetic energy (KE) of an object is calculated using the formula KE = 0.5 × m × v², where m is the mass of the object and v is its velocity. In the case of Logan's Prius, which has a mass of 750 kg and is traveling at 50.0 km/h, we first need to convert the velocity to meters per second: 50.0 km/h = ≈ 13.89 m/s. Using the kinetic energy formula, we get KE = 0.5 × 750 kg × (13.89 m/s)² = 72,094.13 J, which we round to two significant digits to match the given data in the question, becoming 72,100 J. This is not one of the options provided, so it seems there may have been a mistake in the question or the provided answer choices. However, based on the calculations using the given data, none of the answer choices a) 78,125 J, b) 156,250 J, c) 97,500 J, d) 112,500 J are correct.
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