A solid sphere is pushed while being given topspin so that it slides at time t=0 with initial velocity Vo = 10 m/s [W] and rotates with initial angular velocity @ = 500 rad/s [S], as shown at right. The sphere has mass m = 1.0 kg, radius R = 0.03 m, moment of inertia I = ²5 mR² = 0.00036 kg-m², coefficient of kinetic friction µ = 0.50, and coefficient of static friction us = 0.70. What is the speed of the sphere after it begins to roll?

A solid sphere is pushed while being given topspin so that it slides at time t=0 with initial velocity Vo = 10 m/s [W] and rotates with initial angular velocity @ = 500 rad/s [S], as shown at right. The sphere has mass m = 1.0 kg, radius R = 0.03 m, moment of inertia I = ²5 mR² = 0.00036 kg-m², coefficient of kinetic friction µ = 0.50, and coefficient of static friction us = 0.70. What is the speed of the sphere after it begins to roll?