Answer:
(a) The absolute pressure at the bottom of the freshwater lake is 395.3 kPa
(b) The force exerted by the water on the window is 36101.5 N
Explanation:
(a)
The absolute pressure is given by the formula
Where 
is the absolute pressure
is the atmospheric pressure
is the density
is the acceleration due to gravity (Take 
)
h is the height
From the question
h = 30.0 m
= 1.00 × 10³ kg/m³ = 1000 kg/m³
= 101.3 kPa = 101300 Pa
Using the formula
P = 101300 + (1000×9.8×30.0)
P = 101300 + 294000
P =395300 Pa
P = 395.3 kPa
Hence, the absolute pressure at the bottom of the freshwater lake is 395.3 kPa
(b)
For the force exerted
From
P = F/A
Where P is the pressure
F is the force
and A is the area
Then, F = P × A
Here, The area will be area of the window of the underwater vehicle.
Diameter of the circular window = 34.1 cm = 0.341 m
From Area = πD²/4
Then, A = π×(0.341)²/4 = 0.0913269 m²
Now,
From F = P × A
F = 395300 × 0.0913269
F = 36101.5 N
Hence, the force exerted by the water on the window is 36101.5 N
Explanation:
Momentum Is defined as the product of of mass and its velocity
Momentum (M) =mass *velocity
SI unit of momentum is kgm/s
The rate of change in momentum
=change in momentum / time
=(mv-mu)/t
The speed of light "within a vacuum" refers to the speed of electromagnetic radiation propagating in empty space, in the complete absence of matter. This is an important distinction because light travels slower in material media and the theory of relativity is concerned with the speed only in vacuum. In fact, the theory of relativity and the "speed of light" actually have nothing to do with light at all. The theory deals primarily with the relation between space and time and weaves them into an overarching structure called spacetime. So where does the "speed of light" fit into this? It turns out that in order to talk about space and time as different components of the same thing (spacetime) they must have the same units. That is, to get space (meters) and time (seconds) into similar units, there has to be a conversion factor. This turns out to be a velocity. Note that multiplying time by a velocity gives a unit conversion of
This is why we can talk about lightyears. It's not a unit of time, but distance light travels in a year. We are now free to define distance as a unit of time because we have a way to convert them.
As it turns out light is not special in that it gets to travel faster than anything else. Firstly, other things travel that fast too (gravity and information to name two). But NO events or information can travel faster than this. Not because they are not allowed to beat light to the finish line---remember my claim that light has nothing to do with it. It's because this speed (called "c") converts space and time. A speed greater than c isn't unobtainable---it simply does not exist. Period. Just like I can't travel 10 meters without actually moving 10 meters, I cannot travel 10 meters without also "traveling" at least about 33 nanoseconds (about the time it takes light to get 10 meters) There is simply no way to get there in less time, anymore than there is a way to walk 10 meters by only walking 5.
We don't see this in our daily life because it is not obvious that space and time are intertwined this way. This is a result of our lives spent at such slow speeds relative to the things around us.
This is the fundamental part to the Special Theory of Relativity (what you called the "FIRST" part of the theory) Here is where Einstein laid out the idea of spacetime and the idea that events (information) itself propagates at a fixed speed that, unlike light, does not slow down in any medium. The idea that what is happening "now" for you is not the same thing as what is "now" for distant observers or observers that are moving relative to you. It's also where he proposed of a conversion factor between space and time, which turned out to be the speed of light in vacuum.
