Answer:
V = 42187 m/s = 42.18 km/s
Explanation:
given data:
mass of sun is [tex]= 2\times 10^{30} kg [/tex]
radius of earth orbit is [tex]1.5\times 10^{11} m[/tex]
minimum speed can be determined by using following formula
[tex]V = (\frac{2gM}{r}))^{1/2[/tex]}
where G is [tex]\times 10^{-11}[/tex]
Plugging all value to get desired value
[tex]V =(\frac{2\times 6.674 \times 10^{-11}2\times 10^{30}}{1.5\times 10^{11}})^{1/2}[/tex]
V = 42187 m/s = 42.18 km/s
