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Sure, if either of the following conditions is true:

-- The smaller mass started dropping before the larger mass did. As long as

(MsmallVsmall) is equal or greater than (MbigVbig), the smaller mass has equal

or more momentum than the larger one has. But of course, the momentum

of the larger mass catches up as its speed grows.

-- The smaller mass and the larger mass were dropped at exactly the same time,

but on different planets. Then, if the smaller one was dropped in a place where

gravitation is greater, and the greater mass was dropped in a place where

gravitation is less, it's quite possible for the smaller mass to have more

momentum than the larger mass has, at least for a while.

If the acceleration of gravity on the larger planet is at least (larger mass x acceleration of gravity on the smaller planet/smaller mass) or more, then the smaller mass has more momentum than the larger mass has

forever, or as long as they're both freely falling.

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10y ago

In the ideal case where two different masses were both dropped ... not thrown ...

and they dropped straight down, and were not affected by air resistance . . .

-- If they were dropped from the same height, then they both hit the ground with

the same speed, regardless of their masses. They can't have the same momentum,

because momentum is the product of (mass) x (speed). So if their masses are

different and their speeds are the same, then the products must be different.

-- If you want them to have the same momentum when they hit the ground,

that can be done. Simply drop the smaller mass from a greater height, and

the greater mass from a lesser height. That way, the smaller mass has more

speed when it hits the ground, and if you planned it just right, the product of

(mass) x (speed) can be the same number for each one when it hits the ground.

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Q: Is it possible that two falling bodies of different mases to have same momentum while striking the ground?
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