The concept required to solve this problem is hydrostatic pressure. From the theory and assuming that the density of water on that planet is equal to that of the earth we can mathematically define the pressure as
Where,
= Density
h = Height
g = Gravitational acceleration
Rearranging the equation based on gravity
The mathematical problem gives us values such as:
Replacing we have,
Therefore the gravitational acceleration on the planet's surface is
Answer:
a) and
b) t = γt', so it is 8.35 s.
Explanation:
a) The equation of Lorentz transformations is given by:
x' and t' are the position and time in the moving system of reference, and u is the speed of the space ship. x is related to the observer reference.
Now, to find t we apply the same analysis:
but as x'=0 we just have:
b) Here, Mavis reads 5 s on her watch and Stanley measured the events at a time affected by the Lorentz factor, in other words t = γt', if we see it is the same a) part. So the time interval will be equal to 8.35 s.
I hope it helps you!