The feather fell at the same rate as the hammer.
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second. The Moon's surface gravity is weaker because it is far less massive than Earth. A body's surface gravity is proportional to its mass, but inversely proportional to the square of its radius.
Gravity accelerates both objects at the same rate, but if no other force than gravitational force act on the object , and as we know that air resistance affect the rate of fall but at moon their is no air resistance. Hence their is no other force acting on the feather and hammer than the gravitation force of moon .
Because the Apollo crew were essentially in a vacuum, there was no air resistance, the feather fell at the same rate as the hammer. This is exactly what Galileo had concluded hundreds of years before: all objects released together fall at the same rate regardless of mass.
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