44. With ace meaning “the acceleration of the coin relative to the elevator” and aeg meaning “the acceleration of the elevator relative to the ground”, we have ace + aeg = acg
–8.00 m/s2 + aeg = –9.80 m/s2
which leads to aeg = –1.80 m/s2. We have chosen upward as the positive y direction. Then Newton’s second law (in the “ground” reference frame) yields T – m g = m aeg, or T = m g + m aeg = m(g + aeg) = (2000 kg)(8.00 m/s2) = 16.0 kN.