Electric winch pulley systems like the one shown below are


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} =

E?battery ??=7.64 Watt-hour and total efficiency (fraction of stored energy turned into useful mechanical work) of ε = 0.252. The motor, fully charged, is connected to a cable through a pulley system to a CTD (conductivity, temperature and pressure/depth) instrument with a mass of 94.7 kg.  If the CTD instrument, initially at rest, is pulled vertically up from the water, how high can it go before the motor battery is completed drained?

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Physics: Electric winch pulley systems like the one shown below are
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