Michigan Test for Teacher Certification (MTTC) Secondary Integrated Science Practice test

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Prepare for the Michigan Test for Teacher Certification (MTTC) Secondary Integrated Science exam. Utilize flashcards and multiple-choice questions with hints and explanations to succeed in your certification.

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What is the formula that shows the relationship between initial total mechanical energy, work done by an external force, and final total mechanical energy?

TMEf + Wext = TMEi
TMEi - Wext = TMEf
TMEi + Wext = TMEf
TMEf - Wext = TMEi

The correct answer is: TMEi + Wext = TMEf

The relationship between initial total mechanical energy, work done by an external force, and final total mechanical energy is expressed through the formula that states the final total mechanical energy is equal to the initial total mechanical energy plus the work done by the external force. This reflects the principle of conservation of energy, where energy can be transferred into a system through work. In this context, the initial total mechanical energy represents the energy before any external work is applied, and the work done by the external force adds energy to the system, increasing the final total mechanical energy. This is consistent with the expectation that when an external force does work on an object, it contributes to the object's energy. Other options incorrectly rearrange the relationship or misunderstand the addition of work done by external forces in the context of energy conservation. Understanding this formula is essential for solving problems related to energy transfer and conservation in physics.