$($a$)$ A cosmic ray proton moving toward the Earth at $5\mathrm{.}00107$ m$/$s

experiences a magnetic force of $\mathrm{.}11070$ N $-16.$ What is the strength of

the magnetic field if there is a $45$ angle between it and the proton$$s

velocity? $($b$)$ Is the value obtained in part $($a$)$ consistent with the known

strength of the Earth$$s magnetic field on its surface? Discuss.