What is the meaning of weighty?

adjective

• Having relatively great weight; heavy.
  • usage: "a weighty load"; "a weighty package"
• Powerfully persuasive.
  • usage: "a cogent argument"; "a telling presentation"; "a weighty argument"
  • synonyms: cogent, telling
• Of great gravity or crucial import; requiring serious thought.
  • usage: "grave responsibilities"; "faced a grave decision in a time of crisis"; "a grievous fault"; "heavy matters of state"; "the weighty matters to be discussed at the peace conference"
  • synonyms: grave, grievous, heavy
• Weighing heavily on the spirit; causing anxiety or worry.
  • usage: "weighty problems"
• Excessively fat.
  • usage: "a weighty man"
  • synonyms: corpulent, obese, rotund