An experimental car is designed to work by accumulating energy in a flywheel' shaped as a solid disc. To make the car move, the flywheel is "charged" by attaching it to an external machine able to exert a torque on the wheel of r = 1000 Nm, so that the flywheel is accelerated and accumulates rotational kinetic encrgy. The friction of the flywheel with its axle bearings is negligible, and it has a radius R = 1.2 m and a mass m 631.5 kg. a) If the flywheel is "charged" for 10 minutes from rest, determine its final angular velocity. b) Determine the total rotational kinetic energy accumulated by the flywheel during this time. c) If all the energy contained in the flywheel is used to accelerate (from rest) a car of mass M = 2523.4 kg, determine the final velocity of the car. To make the calculation casier, ignore the friction between the car and the asphalt and air resistance.

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