If a 5 kg hammer and a 0.001 kg feather are dropped in a frictionless environment from 2 m high on Earth, which will reach the ground first? Would the time it takes for the fall be greater or smaller if this was done on the Moon?

Both the 5 kg hammer and the 0.001 kg feather will reach the ground at the same time when dropped in a frictionless environment because they both experience the same acceleration due to gravity, regardless of their mass. This principle is a fundamental aspect of Galileo's experiments, illustrating that in the absence of air resistance, all objects fall at the same rate. On the Moon, the scenario changes a bit because the gravitational acceleration is weaker (about 1/6th of Earth's). However, since there's still no air resistance, both the hammer and the feather would fall at a slower rate compared to Earth, but still hit the ground simultaneously. So, the time it takes for them to fall on the Moon would be greater than on Earth, but they'd both still land together!