Final answer:
To find the radius between two objects, we can use Newton's law of gravitation. Plugging in the values given for the gravitational force and the masses, we can solve for the radius. Hence the radius between the two objects is approximately R = 4.874 E6 m.
Step-by-step explanation:
To find the radius between two objects, we can use Newton's law of gravitation. The formula for the gravitational force between two objects is F = G * (M1 * M2) / R^2, where F is the gravitational force, G is the gravitational constant (6.67 × 10^-11 Nm²/kg²), M1 and M2 are the masses of the two objects, and R is their separation.
In this case, the gravitational force is given as 3.4 E5 N, and the masses are 2.34 E12 kg and 3.2 E9 kg respectively. Plugging in these values, we can rearrange the equation to solve for R.
3.4 E5 = (6.67 × 10^-11) * (2.34 E12 * 3.2 E9) / R^2
Simplifying the equation, we get R^2 = (6.67 × 10^-11) * (2.34 E12 * 3.2 E9) / (3.4 E5)
Taking the square root of both sides, we find that the radius between the two objects is approximately R = 4.874 E6 m.