Final answer:
In the U.S. Senate, the process to halt a filibuster and to proceed with legislation is called cloture, requiring a supermajority vote of 60 senators.
Step-by-step explanation:
The process that allows U.S. Senators to offer amendments to legislation on the floor and enables an individual senator to halt all work through a filibuster is known as cloture. A filibuster can be ended only if a supermajority of 3/5, or 60 senators, vote for a cloture motion to close the debate. This effectively establishes a higher threshold for passing legislation, as it requires more than a simple majority to advance a bill when a filibuster is in place.
This procedural hurdle establishes a heightened threshold for passing legislation, demanding more than a simple majority to move a bill forward when a filibuster is employed.
The cloture process serves as a crucial aspect of the Senate's legislative procedures, allowing for extended debate while introducing a safeguard against prolonged obstruction through the filibuster tactic.