
Solution:
\[
\text{Given:} \quad m = 5 \text{ kg}, \quad g = 10 \text{ m/s}^2, \quad \mu = 0.5
\]
\text{Normal force:}
\[
N = F
\]
\text{Friction force:}
\[
f = \mu N = \mu F
\]
\text{For equilibrium:}
\[
\mu F = mg
\]
\text{Substituting values:}
\[
0.5 F = 5 \times 10
\]
\[
0.5 F = 50
\]
\[
F = \frac{50}{0.5} = 100 \text{ N}
\]
\textbf{Final Answer:}
\[
\mathbf{F = 100 N}
\]
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