Not being familiar with your tractor (LT or GT?), I can only say that a couple of young teens can push a 5000 lb load if it's on wheels on level ground. LTs have more weight for traction and more horsepower to apply.
Dirt weighs 90 lb per cubic foot. A garden wheel barrow has a 4 cu-ft tray, and you have a 10 cu-ft cart. I don't see a problem unless your tractor is a LT and your property has slopes over 5°.
Dirt weighs 90 lb per cubic foot. A garden wheel barrow has a 4 cu-ft tray, and you have a 10 cu-ft cart. I don't see a problem unless your tractor is a LT and your property has slopes over 5°.