Let's analyze the statements one by one:
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The weight of the stone on Earth and the moon will be the same.
False. The weight of an object changes depending on the gravitational force acting upon it. The moon's gravity is about 1/6th that of Earth's, so the stone would weigh significantly less on the moon. -
The mass of the stone on Earth and Mars will be the same.
True. Mass is a measure of the amount of matter in an object and does not change regardless of location. -
The mass of the stone on Earth and the moon will be the same.
True. Similar to the statement above, mass remains constant regardless of location. -
The weight of the stone on Earth and Mars will be different.
True. Mars has a lower gravitational force than Earth, so the weight of the stone on Mars will be less than its weight on Earth. -
The mass of the stone on Earth and the Moon will be different.
False. As stated above, mass is constant regardless of location. -
The density of the stone on Earth and Mars will be different.
False (generally). Density is defined as mass divided by volume; the mass of the stone remains the same, and unless the stone deforms or the material changes under different conditions, the density should remain the same. -
The volume of the stone on Earth and the Moon will be the same.
True. Volume is direct and depends on the mass and density of the object. As we've established that mass and density remain the same under typical conditions, the volume will also remain unchanged. -
The mass of the stone on Earth and Mars will be different.
False. Mass remains constant regardless of location.
Thus, the true statements are:
- The mass of the stone on Earth and Mars will be the same.
- The mass of the stone on Earth and the moon will be the same.
- The weight of the stone on Earth and Mars will be different.
- The volume of the stone on Earth and the moon will be the same.
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