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clubguppy
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Homework Statement
A spring with an unstretched length of 20 cm and a force constant of 100 N/m is attached to a 2-kg mass with a charge of 3.0 C. The mass is swung in a circle in a zero gravity environment, so that the spring is perfectly horizontal and is parallel to the radius of the circle, as shown at right. A vertical 1.5-T magnetic field permeates the entire region.
If the mass is moving at 5 m/s, what is the maximum radius of its motion?
Homework Equations
Centripetal Force: [itex]F= \frac{mv^{2}}{r}[/itex]
Hooke's Law: [itex]F=kx[/itex] where k is the spring constant and x is elongation (how long the string is stretched)
Magnetic Force: [itex]F = qvBsin \theta[/itex]
The Attempt at a Solution
I tried qvBsin(90 degrees) = [itex]qvB =F= \frac{mv^{2}}{r} + kr[/itex]
I assumed the force on the spring itself is the tenion (the constant * how long it stretched)
I'm not sure if I did it correctly...please help.
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