The The planet Zargon has a magnetic field that is oriented the same as Earth\'s

Question

The The planet Zargon has a magnetic field that is oriented the same as Earth's, but has a magnitude of 1.26 T! A Royal Zargon Warrior is exploring the Badlands at the Zargon equator when he senses that a vicious octomorph is on top of the rock pillar 9.50 m above him. He dare not move from his position, facing due East: for fear that the octomorph will see him. His rail gun: which has a variable muzzle velocity, shoots pellets of mass 4.00 g: that carry a charge of +1.60 C. What muzzle velocity should the Zargon Warrior adjust his rail gun to in order to kill the octomorph? Figure 3 - A Zargon Warrior, facing due east at the Zargon equator, senses that an octomorph is on the rock pillar 9.50 m above him

Explanation / Answer

Ummm... ok. Someone's getting creative with their physics problems.

I guess we are supposed to assume the mag field points north. If so, then a bullet shot from the gun will move in a circular path. We want the diameter of the circle to be 9.50 m, so the radius is 4.75 m.

Then

force on bullet from B field = q v B force for circular motion = mv^2 / r

set equal

q v B = mv^2 / r

solve for v

v = q B r / m = 1.60 * 1.26 * 4.75 / 0.004 =

= 2394 m/s is the speed of the bullet

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