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Question
thermal energy is transferred from...
the cold object to the hot
the hot object to the cold
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Thermal energy transfer (heat transfer) occurs due to temperature differences. By the second law of thermodynamics (or basic heat transfer principles), heat flows from regions of higher temperature (hot object) to lower temperature (cold object) to reach thermal equilibrium. The first option (cold to hot) is incorrect as heat doesn't spontaneously flow from colder to hotter without external work (like in refrigerators, but this is a basic transfer context).
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the hot object to the cold (the checkbox next to "the hot object to the cold" should be selected)