1. Go to YouTube and watch the "hammer and feather drop on the moon." 2. Count how many seconds it takes for the hammer to hit the ground. I count 1-1&1/2 seconds which would depend on your height. 3. Now go out and drop a hammer or any other object and count how many seconds it takes to hit the ground. 4.It will take 1-1&1/2 seconds depending on your height.
The time is exactly the same whether you're here or on the moon??? Logic dictates the moon drop had to be here on earth because the moon has 1/6 the gravity of earth, so it should have taken 6 or more seconds to hit the ground. I can't believe it took this long for me to realize that!! I think I was focused on the feather which I now believe was made out of a metal.
The suggestion that an object on the moon should take six times longer to fall than the same an object on the earth is completely wrong. Intuition might tell you that, but as people who know anything about science and mathematics will tell you, intuition is often misleading.
The acceleration due to gravity on the earth (at 1G) is 9.8ms
2The acceleration due to gravity on the moon (at 1/6th G) is 1.6ms
2"Aha!" you say, "that confirms it, 9.8 is about six times 1.6"
Well, you would be wrong. The key word here is "acceleration". Your intuition tells you that it would take six times longer because you don't understand the difference between velocity and acceleration. An object falling in a vacuum never stops accelerating while it falls. An object falling on the earth does not fall six times faster than in the moon, it
accelerates six times faster.
Lets look at this from a perspective of a car accelerating along a road (lets ignore air resistance for convenience's sake). The formula for displacement is...
½at2+vst-d=0where
a = acceleration
t = time
vs = starting velocity
d = distance
If the car accelerates at 1G (9.8ms
2) from a standing start, it will take 9.06 seconds to do the quarter mile.
If the car accelerates at 1/6G (1.6ms
2) from a standing start, it will take 22.43 seconds to do the quarter mile
This is NOT six times longer, it is only 2.5 times longer