A carousel (counter-clockwise merry-go-round) starts from rest and accelerates at a constant angular acceleration of 0.02 revolutions/s2. A girl sitting on a bench on the platform 7.0 m from the center is holding a 3.0 kg ball. Calculate the magnitude and direction of the force she must exert to hold the ball 6.0 s after the carousel starts to move. Give the direction with respect to the line from the center of rotation to the girl.