What does stopping the engine after running aground help with?

Stopping the engine after running aground is crucial in preventing further damage to the motor. When a boat runs aground, the propeller can make contact with the bottom, which may not only lead to mechanical issues but also risks damaging the drive system, including the transmission. Continuing to run the engine in this situation can result in overheating, as it may not be able to draw water properly for cooling, or it could cause a breakdown of internal components due to excessive strain. By shutting off the engine, the operator can prevent these potential damages and assess the situation without risking further harm to the boat's motor.

The other choices, while they may seem relevant in certain contexts, do not directly address the primary concern of immediate engine safety and maintenance after running aground. For example, navigating and reduction of capsizing are significant concerns, but they come into play after dealing with the immediate threat to the motor.