Answer:
Total pressure= 120945[Pa]
Force exerted = 29026800 [N] or 29.02*10^6 [N]
Explanation:
We know that the total pressure is the result of the sum of the atmospheric pressure plus the manometric pressure. The equation is:
In this problem we know the atmospheric pressure 101.325x10^3 [Pa], therefore we need to find the manometric pressure.
The manometric pressure in the bottom of the swimming pool depends only on the water column of water generated (depth of the swimming pool)
where:
density = density of the water 1000 [kg/m^3]
g= gravity [m/s^2]
h= column of water (meters)
replacing the values:
![Pman= 1000 *9.81* 2 = 19620 [Pa]\\\\](https://tex.z-dn.net/?f=Pman%3D%201000%20%2A9.81%2A%202%20%3D%2019620%20%5BPa%5D%5C%5C%5C%5C)
The total pressure will be:
![Ptotal= 101325+19620 = 120945 [Pa]\\\\](https://tex.z-dn.net/?f=Ptotal%3D%20101325%2B19620%20%3D%20120945%20%5BPa%5D%5C%5C%5C%5C)
The force exerte on the bottom is defined by the following expression:
Answer:
114.86%
Explanation:
In both cases, there is a vertical force equal to the sprinter's weight:
Fy = mg
When running in a circle, there is an additional centripetal force:
Fx = mv²/r
The net force is found with Pythagorean theorem:
F² = Fx² + Fy²
F² = (mv²/r)² + (mg)²
F² = m² ((v²/r)² + g²)
F = m √((v²/r)² + g²)
Compared to just the vertical force:
F / Fy
m √((v²/r)² + g²) / mg
√((v²/r)² + g²) / g
Given v = 12 m/s, r = 26 m, and g = 9.8 m/s²:
√((12²/26)² + 9.8²) / 9.8
1.1486
The force is about 114.86% greater (round as needed).
They would hit the ground at the same time. No matter the weight laws of physics.
Answer: 3.13 m
Explanation:
Given
mas of the ball is m=10 kg
The ball rolls down a vertical distance of 5 m
Spring constant of spring is 
Here, the potential energy of the ball converted into kinetic energy which in turn converts into elastic potential energy
![\Rightarrow mgh=\frac{1}{2}kx^2\quad [\text{x=compression in the spring}]\\\\\Rightarrow 10\times 9.8\times 5=\frac{1}{2}\cdot 100\cdot x^2\\\Rightarrow x=\sqrt{9.8}\\\Rightarrow x=3.13\ m](https://tex.z-dn.net/?f=%5CRightarrow%20mgh%3D%5Cfrac%7B1%7D%7B2%7Dkx%5E2%5Cquad%20%5B%5Ctext%7Bx%3Dcompression%20in%20the%20spring%7D%5D%5C%5C%5C%5C%5CRightarrow%2010%5Ctimes%209.8%5Ctimes%205%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20100%5Ccdot%20x%5E2%5C%5C%5CRightarrow%20x%3D%5Csqrt%7B9.8%7D%5C%5C%5CRightarrow%20x%3D3.13%5C%20m)
Thus, the spring compresses by 3.13 m.
Answer:
350 miles
Explanation:
because multiply 70 times 5 and you will get 350
