Two mechanical winches are used to pull two test sleds, A A\,A and BBB, along a flat horizontal track. The constant tension force exerted by the winch on sled A A\,A is TAT_ATA, and the displacement of sled A A\,A is sAs_AsA. For sled BBB, the constant tension force is TB=56TA\displaystyle T_B = \frac{5}{6} T_ATB=65TA and the displacement is sB=910sA\displaystyle s_B = \frac{9}{10} s_AsB=109sA.
If the work done by the tension force on sled A A\,A is WA W_A\,WA and on sled B B\,B is WBW_BWB, which of the following expressions correctly relates WB W_B\,WB to WAW_AWA?
WB=43WAW_B = \frac{4}{3} W_AWB=34WA
WB=2725WAW_B = \frac{27}{25} W_AWB=2527WA
WB=34WAW_B = \frac{3}{4} W_AWB=43WA
WB=2527WAW_B = \frac{25}{27} W_AWB=2725WA