If you can give me a thorough answer, you'll have my eternal love and respect: "Temba is standing in the lunch line 6.4 x 106 m from the center of Earth. Earth’s mass is 6 x 1024 kg. a) What is the acceleration due to gravity? b) When Temba eats his lunch and his mass increases, does this change the acceleration due to gravity?"

I know it has something to do with the gravitational acceleration formula, but I'm only given one mass (and the formula calls for two).

The density of a substance is 4.0 g/cm3. if a sample of the substance has a volume of 25 cm3 then what is the mass

After the near spacecraft passed mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid eros, the final destination for the mission. after getting close to eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 10^3 m) around the asteroid. so much propellant had been used that the final mass of the spacecraft while in circular orbit around eros was only 545 kg. the spacecraft took 1.04 days to make one complete circular orbit around eros. calculate what the mass of eros must be.

Standing side by side ,you and a friend step off a bridge at different times and fall for 1.6s to the water below.your friend goes first,and you follow after he has dropped a distance of 2.0m.when your friend hits the water,is the seperation between the two of you 2.0m or more than 2.0m? verify your answer with a calculation.