Question

1. A 1 kg object is located at a distance of 6.4 x106 m from the center of a larger object whose mass is 6.0 x 1024 kg. 
2. What is the size of the force acting on the smaller object? 
3. What is the size of the force acting on the larger object? 
4. What is the acceleration of the smaller object when it is released? 
5. What is the acceleration of the larger object when it is released? 

Answer 1

1, 2: The force is the same:

$$F=GMm/r^2=9.8\text{ N}.$$

3: The acceleration:

$$a_m=F/m=9.8\text{ m/s}^2.$$

4: The acceleration:

$$a_M=F/M=1.63·10^{-24}\text{ m/s}^2.$$