Let's analyze the statements regarding the stone's properties on Earth, the Moon, and Mars:
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The volume of the stone on Earth and the Moon will be the same: True. Volume is an intrinsic property of matter and does not change regardless of the gravitational field.
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The mass of the stone on Earth and the Moon will be different: False. The mass of an object is constant regardless of location; it only changes if material is added or removed.
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The mass of the stone on Earth and Mars will be the same: True. Like with the Moon, the mass remains constant regardless of location.
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The weight of the stone on Earth and Mars will be different: True. Weight is the force exerted by gravity on an object. Since Mars has different gravitational acceleration compared to Earth, the weight will differ.
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The weight of the stone on Earth and the Moon will be the same: False. The Moon has less gravitational acceleration than Earth, so the weight of the stone will be less on the Moon.
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The mass of the stone on Earth and Mars will be different: False. The mass remains constant across different locations.
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The density of the stone on Earth: This statement is incomplete, but density is defined as mass divided by volume, and since both mass and volume remain constant across these locations, the density will also be the same.
Based on this analysis, the true statements are:
- The volume of the stone on Earth and the Moon will be the same.
- The mass of the stone on Earth and Mars will be the same.
- The weight of the stone on Earth and Mars will be different.
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