A \(60-\mathrm{kg}\) ice skater stands facing a wall with his arms bent and then pushes away from the wall by straightening his arms. At the instant at which his fingers lose contact with the wall, his center of mass has moved \(0.50 \mathrm{~m}\), and at this instant he is traveling at \(3.0 \mathrm{~m} / \mathrm{s}\). What are

(a) the average force exerted by the wall on him,

(b) the work done by the wall on him, and

(c) the change in the kinetic energy of his center of mass?