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The starship Enterprise, of television and movie fame, is powered by the controlled combination of matter and antimatter. If the entire 400 $\mathrm{kg}$ antimatter fuel supply of the Enterprise combines with matter, how much energy is released?

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$7.2 \times 10^{19} \mathrm{J}$

Physics 103

Chapter 30

Nuclear and High-Energy Physics

Atomic Physics

Nuclear Physics

Particle Physics

Rutgers, The State University of New Jersey

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02:42

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. The theory of quantum mechanics, a set of mathematical rules that describe the behaviour of matter and its interactions, provides a good model for the description of atomic structure and properties.

02:26

In physics, nuclear physics is the field of physics that studies the constituents and interactions of atomic nuclei. The most commonly known applications of nuclear physics are nuclear power generation and nuclear weapons technology, but the research has provided application in many fields, including those in nuclear medicine and magnetic resonance imaging, ion implantation in materials engineering, and radiocarbon dating in geology and archaeology.

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The starship Enterprise, o…

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The starship $Enterprise$,…

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"Maximum power, S…

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"Maximum power, Scott…

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The starship Enter prise o…

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The fictional starship Ent…

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The fictional starship $En…

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When antimatter (which we …

here, Rasa, calculate the energy released with 400 kilograms of matter and 400 kilograms of anti matter combined on the Starship Enterprise. So we're gonna consider it is to be non relativistic. So hee here is equal to delta M times C squared where in here is equal to the 400 kilograms from the matter plus the 400 kilograms from the anti matter, you can add both of those together to give us our total mass. Of course, it has units of kilograms and then we're gonna multiply this by the seat a speed of light squared where the speed of light is 2.99 times 10 38 oh, meters for a second. And this would be square pluck those values in and we find that the energy here and jewels would be 7.2 times 10 to the 19 Jules Oh, Linkenbach side in is their solution to the question

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