Never mind, the method was fine, but I incorrectly substituted ##a\Delta d##, instead of ##2a\Delta d##, for ##{v_f}^2 - {v_i}^2##. I would save face but I do not know how to delete this thread.
As stated, part (a) says that the work done by the gravitational force ##\vec{F_g}## is 59 kJ. If ##W_T## is the work done by the elevator cable during the 12 m fall, then using the work-kinetic energy theorem,
\begin{align*}
K_f -K_i &= W_g + W_T\\
\frac12m({v_f}^2 - {v_i}^2) &= 59000 + W_T\\...
Hello! I am currently in the first year of the IB diploma programme (i.e. 11th grade). I've made attempts to self-study physics before but was sufficiently confused by mechanics to make the rest seem intimidating. I'm wading through Spivak's Calculus and Halliday et al.'s Fundamentals of Physics...