weight
be a weight off your mind come as a great relief after you have been worried.
be worth your (or its) weight in gold be extremely useful or helpful.
carry weight: seecarry.
pull your weight do your fair share of work.
take the weight off your feet sit or lie down and rest.
throw your weight about (or around) be unpleasantly self-assertive. informal
throw your weight behind someone use your influence to help support someone. informal
2000South African Times Tony Blair and … Bill Clinton have thrown their weight behind a South African-engineered 'Marshall Plan' to rescue the developing world from deepening poverty.