<u>We are given:</u>
Radius of Venus= 6 * 10⁶ m
Height above the planet's ground = 9.4 * 10⁶ m
Mass of Venus = 4.867 * 10²⁴ kg
<u>Finding the Gravitational Field:</u>
We first need to calculate the distance between the center of masses
<u>Distance between center of masses:</u>
Since the point is above the surface of Venus, the radius of Venus and the height will add
Distance between the center of masses = 9.4*10⁶ + 6 * 10⁶
Distance (r) = 15.4 * 10⁶ m
Now back to Gravitational field!
We know the formula for Gravitational Field:
g = GM / r² [<em>where g is the gravitational field, M is the mass of the planet, r is the distance between the center of masses and G is the gravitational constant</em>]
plugging the known values in the formula:
g = (6.67 * 10⁻¹¹ * 4.867 * 10²⁴) / (15.4*10⁶)² [G = 6.67*10⁻¹¹ Nm²/kg²]
g = (32.46 * 10¹³) / (237 * 10¹²)
g = (32.46 * 10¹³) / (23.7 * 10¹³)
g = 32.46/23.7 [the 10¹³ got cancelled out]
g = 1.367 N/kg² (or m/s²)
