Physics questions about magnetic fields and particles?
What speed must an alpha particle maintain if it is to remain suspended, relative to Earth’s surface, as it travels on a tangent to Earth’s surface and perpendicularly through Earth’s magnetic field of 50.0uT?
I could use some help with this. I have been staring at it and can't figure out where to go.Any help is appreciated, thanks.
- ☼¿☼Lv 59 years agoBest Answer
In order for the particle to be suspended, the magnetic force supporting it must balance the force of gravity pulling down.
since x is the angle compared to the magnetic field, and the question states this to be perpendicular, the angle (x) is 90. sin90=1, therefore we can get rid of it to make our algebra easier.
where m is the particle's mass, g is the acceleration of gravity near the earth's surface, q is the particle's charge, and B is the strength of the magnetic field.
mass is the mass of two protons (an alpha particle is a helium nucleus, which consists of two protons).
the charge is the total charge of two protons
B is the magnetic field, in this case, of the earth. This must be in Tesla.
- dipalmaLv 43 years ago
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