Final answer:
The amount of energy in joules to accelerate a car from 0 to 60 mph depends on the mass of the car and the velocity. For example, a 1,500 kg car reaching 60 mph (26.8 m/s) would need approximately 536,580 joules or 536.58 kJ, using the kinetic energy formula.
Step-by-step explanation:
Determining how many joules of energy it takes to accelerate a car from 0 to 60 mph involves calculations based on the principles of physics, specifically those related to kinetic energy and work. The amount of energy required depends on several factors including the mass of the car and the acceleration. Assuming we ignore air resistance and other inefficiencies, the energy can be estimated using the kinetic energy formula KE = ½ mv², where m is the car's mass and v is the velocity in meters per second. Example 12.1.2 provides an approximate value of kinetic energy for a car with a given mass and speed. To convert 60 mph to meters per second, we multiply by 0.44704. Using a 1,500 kg car similar to the one in Example 12.1.2 as an example, and assuming the car reaches 60 mph (26.8 m/s), the calculation would be KE = ½ * 1,500 kg * (26.8 m/s)², resulting in approximately 536,580 joules or 536.58 kJ. Comparing this to Challenge Problems provides a context for understanding various energy values provided in joules.