Answer
$\rho=9.32m$
Work Step by Step
We can determine the required radius of curvature as follows:
$\Sigma F_n=ma_n$
$\implies 0.7N_c=5(\frac{(8)^2}{\rho})~~~$eq(1)
and $\Sigma F_b=0$
$\implies N_C-49.05=0$
$\implies N_C=49.05$
We plug in this values in eq(1) to obtain:
$0.7(49.05)=5(\frac{(8)^2}{\rho})$
This simplifies to:
$\rho=9.32m$