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I\'m having trouble solving this problem from my Physics 2 class. Any help would

ID: 1336627 • Letter: I

Question

I'm having trouble solving this problem from my Physics 2 class. Any help would be great!

A particle of mass 75.0 g moves in a horizontal circle (ignore gravity in this problem) and has a charge of 60.0 C. The particle is connected to a string that helps confine it to the circular orbit. The particle moves in a counter-clockwise direction as viewed from above and there is a magnetic field of 2.00 T that points down. The particle radius of the particle’s orbit is 7.00 mm and it completes 1,000 orbits per second. Find the tension in the string. (Hint: be careful with conversions between grams and kilograms).

Explanation / Answer

m =75.0 g , q = 60.0 C, B = 2T , r = 7 mm, omega =w =1000x2pi

Fb =qvB, F =mrw^2 ,

T - qvB =mrw^2

T =mrw^2+qrwB

T = [ 75x10-6x7x10-3x(1000x2x3.14)2 ] +[60x10-6x7x10-3x(1000x2x3.14)x2]

T =20.705 +0.00929

T=20.714 N

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