Can you please do these questions for me? On the way to the moon, the Apollo astronauts reach a point where the Moon's gravitational pull is stronger than that of Earth's. Find the distance of this point from the center of the Earth. The masses of the Earth and the Moon are 5.98 × 1024 kg and 7.36 × 1022 kg, respectively, and the distance from the Earth to the Moon is 3.84 × 108 m. Answer in units of m.
What would the acceleration of the astronaut be due to the Earth's gravity at this point if the moon was not there? The value of the universal gravitational constant is 6.672 × 10-11 N · m2 /kg2. Answer in units of m/s 2.