(a) By conservation of angular momentum $mvr =$ constant $v_{\min} \times r_{\max} = v_{\max} \times r_{\min}$ $\therefore\ v_{\min} = \frac{60 \times 1.6 \times 10^{12}}{8 \times 10^{12}} = \frac{60}{5} = 12\ m/s$
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