Finding the work done in pulling a stranded climber to safety.

In an unfortunate accident, a rock climber finds herself stuck $19$ m from the top of a $55$ m rock face. Rescuers sent to help the climber lower a harness attached to a cable that will pull the climber to the top of the rock face.

If the climber, secured in the harness, weighs $54$ kg and the cable weighs $1\frac{(kg)}{(m)},$ how much work is done in raising the climber, harness, and cable to the top of the rock face?

Note: the weight of the climber and cable is really a mass so you will need to multiply the mass in kg by the acceleration due to gravity $($approximately $9\mathrm{.}8\frac{(m)}{s^2}).$

$W=J$