A rotating flywheel has been proposed as a means of temporarily storing mechanical energy in an automobile, providing an energy source for the car. The energy that can be stored in this way is limited by the size and weight of the flywheel and by the maximum angular velocity it can attain without flying apart. Suppose a solid cylindrical flywheel of radius 70.0 cm and mass 90.0 kg rotates at a maximum angular velocity of 295 rad/s. Find the maximum rotational energy of the flywheel. How many liters of gasoline would provide the same mechanical energy given that each liter provides 8.50 X 105 of mechanical energy? liters of gasoline [-/1 Points) DETAILS COLFUNPHYS1 9.P.027. MY NOTES PRACTICE ANOTHER A sphere of radius r starts from rest and rolls without slipping along a curved surface, dropping through a vertical distance of 0.472 m. Find the final speed v of the sphere's center of mass. [-/1 Points) DETAILS COLFUNPHYS1 9.P.035. MY NOTES PRACTICE ANOTHER A weather vane initially at rest has a moment of inertia of 0.117 kg m about its axis of rotation. A 72.5 g piece of clay is thrown at the vane and sticks to it at a point 14.5 cm from the axis. The initial velocity of the day is 22.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck