Commercially-available hybrid vehicles, such as the toyota prius, use electrical batteries to store energy for later use. however, formula one racecars have used a flywheel to store energy. when the car applies its brakes, translational kinetic energy of the car is converted to rotational kinetic energy of a large wheel; later, when the driver wants extra power, the wheel can be coupled to the drivetrain of the car, using that kinetic energy to supplement the power from the engine. the “flybrid” hybrid system uses a 5 kg wheel with a radius of 12 cm. when this system is engaged, it can provide an extra 60 kw of power to the car for 7 seconds.(a) how much energy does this system store? (b) at what angular velocity must the wheel spin to store this much energy? convert your answer to revolutions per minute. does this result surprise you? (c) what is the centripetal acceleration of a point on the edge of this wheel? can you think of any engineering or safety challenges in building these systems?