A ball of radius R=57cm and mass M=0.46kg is compressed against a spring of spring constant k=400N/m by an amount x=31.3cm measured from the equilibrium of the spring as shown in the figure below. The system is released from rest and when the spring reaches its equilibrium position the ball loses contact with the spring. Assume the ball rolls without slipping along the theta=250 incline after it is released. Find the translational speed of the ball after it travels d= 62.2cm from the point of losing contact with the spring . Isphere =2/5 MR2. Take g=9.8 m/s2 and express your answer using two decimal places.

Question

A ball of radius R=57cm and mass M=0.46kg is compressed against a spring of spring constant k=400N/m  by an amount x=31.3cm measured from the equilibrium of the spring as shown in the figure below. The system is released from rest and when the spring reaches its equilibrium position the ball loses contact with the spring. Assume the ball rolls without slipping along the theta=250 incline after it is released. Find the translational speed of the ball after it travels d= 62.2cm from the point of losing contact with the spring .  Isphere =2/5 MR2.  Take g=9.8 m/s2 and express your answer using two decimal places.