Answer:
516526.863 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Acceleration due to gravity (g) = 2.24 m/s²
Mass (M) = 8.96×10²¹ Kg
Gravitational constant (G) = 6.67×10¯¹¹Nm²/Kg²
Radius (r) =?
The radius of the planet can be obtained as follow:
g = GM/r²
2.24 = 6.67×10¯¹¹ × 8.96×10²¹ / r²
2.24 = 5.97632×10¹¹ / r²
Cross multiply
2.24 × r² = 5.97632×10¹¹
Divide both side by 2.24
r² = 5.97632×10¹¹ / 2.24
r² = 2.668×10¹¹
Take the square root of both side
r = √2.668×10¹¹
r = 516526.863 m
Thus, the radius of the planet is 516526.863 m