Some cars, such as the Toyota Prius, have what are called regenerative brakes. In these braking systems,

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Some cars, such as the Toyota Prius, have what are called regenerative brakes. In these braking systems, the kinetic energy of the car is stored in some fashion as the car is brought to a stop. That energy can then later be “reused” to run an electric motor and hence propel the car. Suppose a regenerative braking system uses a large inductor to store the energy. (Practical systems use batteries instead.) If the inductance is L = 100 H (about the same inductance as an MRI magnet), approximately what value of the current I in the inductor would give a stored energy equal to the kinetic energy of a small car moving at 10 m/s (about 20 mi/hr)?

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