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A particle with negative charge q and mass m = 2.50×10−15 kg is traveling through a...

A particle with negative charge q and mass m = 2.50×10−15 kg is traveling through a region containing a uniform magnetic field B⃗ =(−0.110T)k^. At a particular instant of time the velocity of the particle is v⃗ =(1.00×106m/s)(−3i^+4j^+12k^) and the force F⃗ on the particle has a magnitude of 2.40 N .

1. Determine the acceleration a⃗ of the particle. Find the x-component in m/s^2. Find the y-component in m/s^2

2. Determine the radius of curvature R of the circular component of the helical path in m.

3. Determine the cyclotron frequency of the particle in Hz.

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