# Simple physics question

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I have been testing the havok engine, in his version for 3dsmax, reactor. And I have seen that if you have 2 identical objects, but one of them have much more mass than the other, if you let go down the two objects from the same height, the two objects needs the same time to reach the ground. I thought that the object with more mass would reach ground in much less time. The simple cuestion is: if you have two objects with the same volume, and diferent mass(different density), with only one down force (gravity),and without air friction or with the same air friction, what object will collide with the ground before ? thanks

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You may join the ranks of the people who laughed at Galileo.

He postulated, to much derision from his peers, that two objects with the same mass should take the same amount of time to fall from an equal height to the ground.

As it turns out, he was right.

The gravity of the earth acts to accelerate almost (a non-measurable difference) equally any two objects of small enough mass as compared to that of the earth.

This is most dramatically demonstrated in that, on the moon, a hammer and a feather fall to the ground in the exact same amount of time. Spooky, huh?

Cheers,
Twilight Dragon

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a ball of 5kg, and a ball of 500kg fall to the ground in the same time ?
is a non-measurable difference in earth ?

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Silly: Try it out right now. Take two soda bottles, fill one with water and leave the other one empty, and cap both. Drop them off something high (try it a few times). Then come back and report your results. Most of us did the same experiment (probably with different objects) in elementary school, but if you haven't, it's surprisingly fun. I"m not joking about that. [grin]

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Gravity accelerates all objects at a rate of 32 feet/second every second or 9.8 meters/second/second.

The reason many people think lighter objects drop more slowly comes from exprerience with dry leaves, feathers, and pieces of paper. Unfortunately, all of these are highly affected by aerodynamics. In a vacuum, each of those objects would drop at the same rate as a bowling ball.

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Quote:
 Original post by SneftelSilly: Try it out right now. Take two plastic soda bottles, ... [grin]

Anyway, for the mathematical explanation: the force of gravity between two objects is given by the following equation (thanks to Newton, no thanks to "intelligent falling"):
    F = Gm0m1 / r2
G is the "gravitational constant", m0 and m1 are the objects that are attracting each other. So, lets say we are dropping an object. The force due to gravity is determined by the mass of the Earth (let's make that m0) and the mass of the object (let's make that m1). Now, the acceleration of an object is given by this equation (also thanks to Newton):
    F = ma, or a = F / m
So, what is the acceleration of our falling object?
    a = (Gm0m1 / r2) / m1    a = Gm0 / r2
As you can see mass of the falling object cancels out, so it has no effect on its acceleration. On the surface of the Earth, the acceleration due to gravity is 9.8 m/s2, regardless of the mass of the falling object.

[Edited by - JohnBolton on October 11, 2005 1:43:09 PM]

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Quote:
 Original post by JohnBoltonTake two plastic soda bottles

Sissy. Don't you care about SCIENCE?

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Quote:
Original post by Sneftel
Quote:
 Original post by JohnBoltonTake two plastic soda bottles

Sissy. Don't you care about SCIENCE?

Empirical tests have shown, that a thick recyclable 1.5 liter plastic bottle, containing vodka and coke, dropped at height of about 180cm, may break; and should it do so, the event is usually followed by a lot of harsh language.

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Quote:
 Original post by Silly_cona ball of 5kg, and a ball of 500kg fall to the ground in the same time ?is a non-measurable difference in earth ?

Earth weight is 5.974 × 10^24 kg different just 450 kg is about 1 in 10^22

If your time for object to reach the ground is 10 second

So, you need be super man to tell different in 10^-21 of second that is about 10^-12 nanosecond =.="

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Thanks, I've understood now, but if the volume of one object is bigger than the other, and his mass bigger too, why the two objects fall to the ground in the same time (in havok-reactor case) ? this seems very unrealistic.

Other engines do the same ? like havok realtime, novodex, meqon, newton ...

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