Two carts have a compressed spring between them and are initially at rest. One of the carts has total mass, including its conten
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Answer:
<em>The magnetic field is 0.0857 T.</em>
Explanation:
The electrons orbit the magnetic field with a centripetal force equal to
F =
also, the force on an electron in a magnetic field is gotten as
F = Bqv
equating this two equations give
= Bqv
mv/r = Bq
where m is the mass of the electron = 9.11 x 10^-31 kg
v is the the linear speed of the electron
B is the magnetic field on the electron
r is the radius of the orbital movement
q is the charge on an electron = 1.602 x 10^-19 C
but, the linear speed v = ωr
where ω is the angular speed of the electron
substituting into equation above, we have
mωr/r = Bq
which reduces to
mω = Bq
finally, w know that the angular speed is related to the frequency of the electron by
ω = 2πf
we then finally have
2mπf = Bq
where f is the frequency emitted by the electron = 2.4 GHz = 2.4 x 10^9 Hz
substituting values into the equation, we have
2 x 9.11 x 10^-31 x 3.142 x 2.4 x 10^9 = B x 1.602 x 10^-19
B = (1.3734 x 10^-20)/(1.602 x 10^-19) = <em>0.0857 T</em>
= <em>85.7 mT</em>