Answer:
The value is [tex]F_B = 1.074 *10^{-11} \ N[/tex]
Explanation:
From the question we are told that
The mass of the lithium nucleus is [tex]m = 6.02 \ u = 6.02 * 1.66*10^{-27} = 9.9932*10^{-27}\ kg [/tex]
The radius is [tex]r = 0.536 \ m[/tex]
The speed of the lithium nucleus is [tex]v = 0.08 c = 0.08 * 3.0*10^{8} = 2.40*10^{7} \ m/s [/tex]
Given that the lithium nucleus is travelling in a circular path, the magnetic force will be equivalent to a centripetal force so
[tex]F_B = F_C[/tex]
And [tex]F_C[tex] is centripetal force mathematically represented as
[tex]F_C = \frac{m * v^2}{r}[/tex]
So
[tex]F_B = F_C = \frac{m * v^2}{r}[/tex]
=> [tex]F_B = F_C = \frac{9.9932*10^{-27} * [2.40*10^{7}]^2}{ 0.536}[/tex]
=> [tex]F_B = 1.074 *10^{-11} \ N[/tex]
