Answer:
[tex]1.67\times 10^6 m[/tex]
Explanation:
The gravitational acceleration on the planet can be calculated as follows:
[tex]g=\frac{GM}{R^2}[/tex]
Where, M is the mass of the planet and R is the radius of the planet.
[tex]g=\frac{6.67\times 10^{-11} \times 3.52\times 10^{24}}{(5.40\times 10^6)^2} = 8.05 N/kg[/tex]
The height that the projectile would reach can be calculated as follows:
[tex]h=\frac{v^2}{2g}\\h = \frac{5180^2}{2\times 8.05} =1.67\times 10^6 m[/tex]
