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Answer :
Final answer:
Using the principles of kinetic energy and the work-energy theorem, we find that the mass of the car that requires 235 kJ of work to accelerate from 21.5 m/s to 28.5 m/s is approximately b) 1500 kg.
Explanation:
The question asks for the mass of a car when given the amount of work and the initial and final velocities. This is a question involving the principles of kinetic energy and work-energy theorem. To approach this, we will use the equation for kinetic energy, which is KE = 0.5 * m * v², and the work-energy theorem which states that the work done in an isolated system is equal to the change in kinetic energy of the system.
Step 1: Calculate the initial and final kinetic energy
Using the given velocities, we can compute for the initial and final kinetic energy. Remember that velocity should be in m/s.
Initial kinetic energy, KE1 = 0.5 * m * (21.5 m/s)²
Final kinetic energy, KE2 = 0.5 * m * (28.5 m/s)²
Step 2: Apply work-energy theorem
Work done, W = KE2 - KE1 = ΔKE
Plugging in the values and simplifying gives us 235,000 J = 0.5 * m * (28.5² - 21.5²)
Step 3: Solve for mass
After simplifying the equation, we can solve for the mass, m. Doing so, we find that the mass of the car is approximately 1500 kg.
Learn more about Work-Energy Theorem here:
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