Can someone please explain how to do this problem? Ginger decided to set up a Ca
ID: 1669110 • Letter: C
Question
Can someone please explain how to do this problem?Ginger decided to set up a Cartesian coordinate system withthe +X axis to the right, the +Y axis up, and the +Z axis out ofthe paper. She added a magnetic field of intensity B = +k0.250 Telsa which filled a strip in the XY plane 1 meter wide withthe left edge coinciding with the Y axis. Then she shot 25MEV Protons along the + X axis. When they entered themagnetic field they experienced a magnetic force which causes themto be deflected so that they would emerge from the other side ofthe magnetic field with their velocity vector making an angle withrespect to the + X axis. Calculate the magnitude of theangle. Calculate the Y component of the momentum of theprotons as they emerge from the magnetic field.
Ginger decided to set up a Cartesian coordinate system withthe +X axis to the right, the +Y axis up, and the +Z axis out ofthe paper. She added a magnetic field of intensity B = +k0.250 Telsa which filled a strip in the XY plane 1 meter wide withthe left edge coinciding with the Y axis. Then she shot 25MEV Protons along the + X axis. When they entered themagnetic field they experienced a magnetic force which causes themto be deflected so that they would emerge from the other side ofthe magnetic field with their velocity vector making an angle withrespect to the + X axis. Calculate the magnitude of theangle. Calculate the Y component of the momentum of theprotons as they emerge from the magnetic field.
Explanation / Answer
Given that B = 0.250T V = 25MeV d = 1m We know that v = E / B = V / B*d = 25 x 106 / 0.250 * 1 = 1 x 108 m/s Therefore momentum of proton = 1.67 x 10-27 * 1 x108 = 1.67 x 10-19 kg-m/s