a hammer and a feather are dropped from the same height imagine that there is no resistance to the objects its motion in are which value will be different for the two objects

1 answer

In a vacuum, where there is no air resistance, both a hammer and a feather dropped from the same height will fall at the same rate and hit the ground simultaneously due to the effect of gravity, regardless of their mass.

However, if you are considering values that would be different for the two objects, the terminal velocity would differ in an environment with air resistance (though this is not applicable in a vacuum). In that case, the feather, being significantly lighter and having a larger surface area relative to its weight, would reach a much lower terminal velocity compared to the hammer.

In a no-resistance scenario specifically, the only values that would differ fundamentally under those conditions would be their masses and shapes, but they would experience the same acceleration due to gravity (approximately 9.81,m/s2 on Earth). Thus, when released simultaneously, they will both fall the same distance in the same amount of time.