A 2.2 m long uniform plank is supported by two bathroom scales, one at either end. Initially the scales each read 100.0 N. A 1.60-m-tall student lies on top of the plank, with the soles of his feet directly above scale B. Now scale A reads 394.0 N and scale B reads 541.0 N.
a) What is the student's weight?
b) How far is his center of gravity from the soles of his feet?
c) When standing how far above the floor is his center of gravity, expresses as a fraction of his height?