Answer
280 N
Work Step by Step
$F=ma$
Mass is already given. But we need to find the acceleration.
When acceleration $a$ is constant
$v^{2}=u^{2}+2a(x-x_{0})$.
This implies that $a=\frac{v^{2}-u^{2}}{2(x-x_{0})}$
Then, $F=m\times\frac{v^{2}-u^{2}}{2(x-x_{0})}=0.050\,kg\times\frac{(100\,m/s)^{2}-0^{2}}{2\times0.90\,m}=280\,N$