At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.45 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.10 ✕ 10−5 T

The speed of the proton is 4059.39 m/s

Explanation:

The centripetal force on the particle is given by;

The magnetic force on the particle is given by;

The centripetal force on the particle must equal the magnetic force on the particle, for the particle to remain in the circular path.

where;

r is the radius of the circular path moved by both electron and proton;

⇒For electron;

⇒For proton

The speed of the proton is given by;

Therefore, the speed of the proton is 4059.39 m/s

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.