High-Energy Cancer Treatment. Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 1012 W) pulses of light that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk in 3 mm diameter, with the pulse lasting for 7 ns with an average power of 7.4 x10¹2 W. We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse. How much energy is given to the cell during this pulse?

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Chapter1: Units, Trigonometry. And Vectors
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High-Energy Cancer Treatment.
Scientists are working on a new technique
to kill cancer cells by zapping them
with ultrahigh-energy (in the range of
1012 W) pulses of light that last for an
extremely short time (a few nanoseconds).
These short pulses scramble the interior
of a cell without causing it to explode, as
long pulses would do. We can model a
typical such cell as a disk in 3 mm
diameter, with the pulse lasting for 7 ns
with an average power of 7.4 x10¹2 W.
We shall assume that the energy is spread
uniformly over the faces of 100 cells for
each pulse. How much energy is given to
the cell during this pulse?
(answer in 2 decimal places and in
MegaJoule (MJ))
m, = 4px 107T. m/ A
c = 3 x 108 m/s
e 8.85 x 10-¹2 C²/Nm²
Transcribed Image Text:High-Energy Cancer Treatment. Scientists are working on a new technique to kill cancer cells by zapping them with ultrahigh-energy (in the range of 1012 W) pulses of light that last for an extremely short time (a few nanoseconds). These short pulses scramble the interior of a cell without causing it to explode, as long pulses would do. We can model a typical such cell as a disk in 3 mm diameter, with the pulse lasting for 7 ns with an average power of 7.4 x10¹2 W. We shall assume that the energy is spread uniformly over the faces of 100 cells for each pulse. How much energy is given to the cell during this pulse? (answer in 2 decimal places and in MegaJoule (MJ)) m, = 4px 107T. m/ A c = 3 x 108 m/s e 8.85 x 10-¹2 C²/Nm²
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