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F=Eq, ma=Eq, a=Eq/m. The alpha particle has twice the charge, 4 times the mass, so acceleration is half.

Pretty sure its D. 19.6 Is the horizontal and vertical component of the velocity, so v=sqrt(2*(19.6)^2)=27.7

I have different answers for 7 and 20 that I'm not sure about. In 7, the coil should oppose the motion of the magnet by repelling it, which means it has a south pole at bottom and north pole at top, so the magnetic field goes from the top to the bottom, and the current goes clockwise, which is...

This is how I see it. In both diagrams, the wire PQ is always perpendicular to the magnetic field. The radial magnetic field only affects the torque, since with a parallel field not all of the force will be in the direction of rotation. The magnitude of the force will be unaffected, always...

For 9, differentiating (A) I got dv/dx = 2cos(x-1), a = v.dv/dx = 2v.cos(x-1), sub x=1, v=2, a = 2(2).cos(0)=4