(Solved): .     An electron (charge \( q=-1.6 \times 10^{-19} \mathrm{C} \) ) moving at speed \( \ ...

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An electron (charge \( q=-1.6 \times 10^{-19} \mathrm{C} \) ) moving at speed \( \mathrm{v} \) enters a region where a uniform magnetic field \( \mathrm{B}=2.3 \times 10^{-4} \mathrm{~T} \) bends the path of the electron into a semicircle with radius of \( r=5.8 \mathrm{~cm} \) as shown. 1) What is the speed of the electron as it enters the region of non-zero magnetic field? \( v= \) \( \mathrm{m} / \mathrm{s} \) 2) What is the speed of the electron as it leaves the region of non-zero magnetic field? \( v= \) \( \mathrm{m} / \mathrm{s} \) 3) How much work was done on the electron by the magnetic field in this region? \( \mathrm{W}= \) 1) How many turns of wire would be on a solenoid carrying a current \( 4.6 \mathrm{~A} \) if the solenoid is \( 19 \mathrm{~cm} \) in diameter, \( 229 \mathrm{~cm} \) long, and the field at the center is \( 2.4 \times 10^{-3} \mathrm{~T} \) ? \[ \mathrm{N}= \] turns