The mass of the astronaut is still 65 kilograms. Mass is constant or doesn't change no matter where you are.
Answer:
7400 m/s
Explanation:
Centripetal acceleration = gravity
v² / r = GM / r²
v = √(GM / r)
Given:
G = 6.67×10⁻¹¹ m³/kg/s²
M = 5.98×10²⁴ kg
r = 9.8×10⁵ + 6.357×10⁶ = 7.337×10⁶ m
v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.337×10⁶))
v = 7400
The orbital velocity is 7400 m/s.
It is given that up direction be positive.
Ball velocity at the time is was dropped is 3 m/s.
g = -9.8 m/s²
s = -50 m
Now, using equation of motion for time :
s = ut + at²/2
3t - 4.9t² + 50 = 0
4.9t² - 3t - 50 = 0
Solving above equation, we get :
t = 3.52 s
Therefore, the rock will splash into the water after 3.52 s.
The situation when nuclear fission occurs, some mass is lost is also called the mass defect and as a result the matter turns into energy. If you want to know where the mass does go Albert Einstein will be your helping hand : E = mc^2. Using this formulae you will solve the task and find out the direction of mass.