Magnetic Field Forces & Acceleration for 75.0 Proton Mass, 1 Proton Charge

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To find the net force and acceleration of a charged ion in a magnetic field, one must apply the Lorentz force equation, which relates magnetic force to charge, velocity, and magnetic field vectors. The magnetic field vector is given as 3i + 12j + 7k, and the ion's velocity is -7.0k. Using these vectors, the net force can be calculated, followed by determining the net acceleration using Newton's second law. Additionally, the work done by the magnetic field over 20 milliseconds can be assessed, keeping in mind the relationship between force, electric field, and particle motion. Understanding these concepts is crucial for solving the problem accurately.
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A charged ion with a molecular weight equal to 75.0 proton masses and a charge of 1 proton is placed into a magnetic field given by the vector 3i + 12j + 7k. It is moving with a velocity given by the vector -7.0k. wat is the net force and what is the net acceleration produced? What is the net amount of work done by the magnetic field if the field is applied for 20.0 milliseconds?

Again I can not remember how to go about doing this problem so could someone please give me a point in the right direction!
 
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Again what do you know about the relationship between force and electric field. It has a very simple vector relation and from that you can find the net acceleration from Newtons second law. be careful about the acceleration though as you must remember the particle is moving aswell.
 
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