What are the three types of work that atp allows the cell to perform

Chemical work, mechanical work, and transport work.

Chemical: An example would be the ATP building large molecules such as proteins for the cell (s)

Mechanical: An example of this would be the contraction of your muscle (s). The reason for this is because In your  muscle cells, ATP transfers phosphate groups to certain proteins which allows them to then change shape starting a chain of events leading to your muscles contracting

Transport: An example would be transport work pumping solutes into a cell membrane.

Hope this helps! :)