<s>[INST] I have a power transmission system that you can model as moving a load from a crane. The crane is a cylinder that is 70 meters long and 0.5 meters in diameter. The crane can move the load in a horizontal plane for about 110 meters. 

The forces and work associated with moving the load in the horizontal plane are not of interest to me. I want to focus on the energy associated with lifting the load. Specifically, I would like to know the energy associated with lifting a load of 5000 kg up the height of the crane.

Assuming a constant force throughout the motion and ignoring other losses, the energy associated with lifting the load is purely gravitational potential energy.

In terms of gravitational acceleration (g) and the other given parameters, how can I express the energy in Joules associated with lifting the load up the height of the crane?[/INST]