You push a blob of gelatin with a constant force of \(3.0 \mathrm{~N}\) across a wet table on which it slides easily. Because the blob shape distorts, its center of mass moves only \(30 \mathrm{~mm}\) during the time interval in which the point of application of your force moves \(50 \mathrm{~mm}\).

(a) What is the work done by you on the blob?

(b) By how much does your force change the kinetic energy of the center of mass?