Electric winch pulley systems like the one shown below are often used to place equipment into the ocean from a research vessel (like the Scripps...

Electric winch pulley systems like the one shown below are often used to place equipment into the ocean from a research vessel (like the Scripps Oceanography ship Sally Ride). Assume the motors of one of these winches is powered a battery with an total energy capacity (potential energy) of E_{battery} =