Car 1 with Mass $m$ Rounds an Unbanked Curve of Radius $R$

Multiple Choice

Car 1 with mass $m$ rounds an unbanked curve of radius $R$ traveling at a constant speed $|\vec{v}|$ . Car 2 with mass $2 m$ rounds a curve of radius $2 R$ traveling at a constant speed $2|\vec{v}|$ . How does the magnitude $\left|\vec{F}_{2}\right|$ of the sideward static friction force acting on car 2 compare with the magnitude $\left|\vec{F}_{1}\right|$ of the sideward static friction force on car 1 ?

A) $\left|\vec{F}_{1}\right|=4\left|\vec{F}_{2}\right|$
B) $\left|\vec{F}_{1}\right|=2\left|\vec{F}_{2}\right|$
C) $\left|\vec{F}_{1}\right|=\left|\vec{F}_{2}\right|$
D) $\left|\vec{F}_{1}\right|=\frac{1}{2}\left|\vec{F}_{2}\right|$
E) $\left|\vec{F}_{1}\right|=\frac{1}{4}\left|\vec{F}_{2}\right|$
F) Other (specify)