Heat in an electric cable or connection indicates resistance. Either the connection is not tight or large enough, or there is too small or deteriorated a cable. Clean connections or replace the cables, retighten and try again.
I need a picture of the battery cables wired to the batteries on a 1982 golf club car
A battery for a Powakaddy golf cart costs around $100. They can be bought online, at golf stores like Golf Supply Store, Golf Town, Golf Smith and Golf Warehouse.
Water.
Some times the cables between batteries corrode and it cause a disconnect- check all cables on the posts to see if one is broken.
Spare golf cart batteries can be bought from a number of specialist golf hardware providers both online and in a specialist golf store. You can also purchase them from specific golf cart dealers.
Golf cart.
Any auto parts store can sell you the cable and the ends. Pretty simple to cut the cable to length and crimp the ends on.
Golf cart batteries can be purchased in your local area at designated retailers, ordered from the manufacturer by telephone, or purchased online at one of the dozens of online retailers who carry your specific Golf Cart Battery brand.
Depending on the age of the battery and other factors, a golf cart will last from 15 to 30 miles on a single charge. It is important to invest is a premium battery and to charge the cart after each use.
Charging or over-charging
yes
It means you need to charge the battery.