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physicsisfeyn
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Why is the derivative of energy force? For example: KE=1/2mv^2 the derivative of which, assuming mass is held constant is KE'= ma. Why is this? What is the significance of this? What are some applications of this?
Additionally, Einstein's famous equation, E=mc^2, relates mass with energy. Does this mean as you approach the speed of light, that force is actually converted into mass? For example, if you have a mass of 1kg traveling with an acceleration of 299,000,000m/s and you double the force (which is 299,000,000N times 2) that some of the force is actually transformed into mass?
Additionally, Einstein's famous equation, E=mc^2, relates mass with energy. Does this mean as you approach the speed of light, that force is actually converted into mass? For example, if you have a mass of 1kg traveling with an acceleration of 299,000,000m/s and you double the force (which is 299,000,000N times 2) that some of the force is actually transformed into mass?
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