Is a Ton of Styrofoam the Same Weight as a Ton of Steel?

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A ton of Styrofoam and a ton of steel weigh the same, but their impact differs when dropped from a height. Steel balls would cause more harm upon impact due to their density and lack of air resistance, while Styrofoam balls would be partially influenced by air, resulting in less damage. The discussion also touches on the confusion surrounding weight versus impact, emphasizing that weight remains constant regardless of the object's fall. Additional comments highlight that the question of weight is not as traditional as suggested, given the modern use of materials like Styrofoam. Ultimately, the core question about weight remains valid, but the context of impact introduces new considerations.
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Its the age old question which weighs more, a ton Styrofoam Balls a 1/4" in diameter or a ton of Steel Balls a 1/4" in diameter?

Of course the answer is that both weigh the same.

Now seeing as both weigh the same which would cause more harm to you if you stood underneath of them and let them drop on you from a height of 20 feet in the air?

The steel balls would of course because the Styrofoam Balls falling from 20 feet would be influenced by the air thus causing some of the Styrofoam Balls to not land on you. So is the age old answer to the question of, is a ton of Styrofoam Balls the same weight as a ton of Steel Balls being yes still a valid answer?
 
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Dryson1 said:
So is the age old answer to the question of, is a ton of Styrofoam Balls the same weight as a ton of Steel Balls being yes still a valid answer?
Hi Dryson:

I don't get why you think the added context off falling would possibly affect the answer to the question. Can you elaborate on that?

Do you have in mind that the concept of "weight" changes when an object falls?

BTW, even if you were on the moon (in a space suit), the Styrofoam would do less damage even though the momentum when the each of balls hits your head would be the same.

Regards,
Buzz
 
Dryson1 said:
Its the age old question which weighs more, a ton Styrofoam Balls a 1/4" in diameter or a ton of Steel Balls a 1/4" in diameter?

Of course the answer is that both weigh the same.
The age-old question as I heard it, was "Which is heaver, a pound of silver or a pound of lead?"
The answer to this question is "a pound of lead."

The reason is that silver, gold, and precious stones are measured in Troy units (troy lb and troy oz), while other materials are measured in avoirdupois units. See https://en.wikipedia.org/wiki/Troy_weight
1 troy pound ##\approx## 373.24 g.
1 avoirdupois pound ##\approx## 454 g.
Dryson1 said:
Now seeing as both weigh the same which would cause more harm to you if you stood underneath of them and let them drop on you from a height of 20 feet in the air?

The steel balls would of course because the Styrofoam Balls falling from 20 feet would be influenced by the air thus causing some of the Styrofoam Balls to not land on you. So is the age old answer to the question of, is a ton of Styrofoam Balls the same weight as a ton of Steel Balls being yes still a valid answer?
 
I doubt that "which weighs more, a ton Styrofoam Balls a 1/4" in diameter or a ton of Steel Balls a 1/4" in diameter?" really is an "age old" question since Styrofoam is not itself "age old"!

I don't see what the fact that the steel balls hurting more than the Styrofoam balls has to do with the question of its weight so I don't understand your question.
 
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