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Scientists discovered two new planets: planet X and planet Y. They have identical volumes, but the mass of planet X is two times greater than the mass of planet Y. If two identical space probes land on each planet, which of the following will be true?(1 point)
The weight of the space probe on planet Y will be greater than the weight of the space probe on planet X.
The weight of the space probe on planet X will be greater than the weight of the space probe on planet Y.
The mass of the space probe on planet X will be greater than the mass of the space probe on planet Y.
The mass of the space probe on planet Y will be greater than the mass of the space probe on planet X.
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Answer: The weight of the space probe on planet X will be greater than the weight of the space probe on planet Y.
Reason: The planets have equal volumes so equal radii, but planet X has twice the mass of Y, so surface gravity on X is twice that on Y (g = GM/R^2). Weight = m_probe * g, so the probe weighs more on X. The probe's mass is the same on both planets.
Reason: The planets have equal volumes so equal radii, but planet X has twice the mass of Y, so surface gravity on X is twice that on Y (g = GM/R^2). Weight = m_probe * g, so the probe weighs more on X. The probe's mass is the same on both planets.
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