Electromagnetism and earth question

AI Thread Summary
To determine the speed a proton needs to circle Earth at 1660.0 km above the magnetic equator, the magnetic field intensity is given as 4.07 × 10−8 T. The forces acting on the proton include the magnetic force (F1 = eVB), the centripetal force (F2 = mV^2/(1.600x10^6 + R)), and the gravitational force (F3 = GmM/(1.600x10^6 + R)^2). The equation ±F1 + F2 = F3 is set up to solve for the speed, but the user expresses confusion about the calculations and is seeking guidance to complete the problem. This problem is critical for the user's assignment completion.
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Homework Statement



Assume that Earth’s magnetic field is everywhere perpendicular to the path of a proton
and that Earth’s magnetic field has an intensity of 4.07 × 10−8 T.

What speed would a proton need to achieve
in order to circle Earth 1660.0 km above the
magnetic equator?
Answer in units of m/s.

The Attempt at a Solution



I was told F1 = eVB, F2 = mV^2/(1.600x10^6 + R), F3 = GmM/(1.600x10^6 + R)^2. And set ±F1 + F2 = F3, where the sign is to be determined depending on the direction of the proton.

I'm completely lost, and have no idea what to do. This is the only problem left for me :/ 1 answer left or I fail the assignment :(
 
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