Answer:
In coin card experiment smooth card is used so that the card can slide easily from glass
Explanation:
We define force as the product of mass and acceleration.
F = ma
It means that the object has zero net force when it is in rest state or it when it has no acceleration. However in the case of liquids. just like the above mentioned case, the water is at rest but it is still exerting a pressure on the walls of the swimming pool. That pressure exerted by the liquids in their rest state is known as hydro static force.
Given Data:
Width of the pool = w = 50 ft
length of the pool = l= 100 ft
Depth of the shallow end = h(s) = 4 ft
Depth of the deep end = h(d) = 10 ft.
weight density = ρg = 62.5 lb/ft
Solution:
a) Force on a shallow end:
![F = \frac{pgwh}{2} (2x_{1}+h)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bpgwh%7D%7B2%7D%20%282x_%7B1%7D%2Bh%29)
![F = \frac{(62.5)(50)(4)}{2}(2(0)+4)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B%2862.5%29%2850%29%284%29%7D%7B2%7D%282%280%29%2B4%29)
![F = 25000 lb](https://tex.z-dn.net/?f=F%20%3D%2025000%20lb)
b) Force on deep end:
![F = \frac{pgwh}{2} (2x_{1}+h)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bpgwh%7D%7B2%7D%20%282x_%7B1%7D%2Bh%29)
![F = \frac{(62.5)(50)(10)}{2} (2(0)+10)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B%2862.5%29%2850%29%2810%29%7D%7B2%7D%20%282%280%29%2B10%29)
![F = 187500 lb](https://tex.z-dn.net/?f=F%20%3D%20187500%20lb)
c) Force on one of the sides:
As it is mentioned in the question that the bottom of the swimming pool is an inclined plane so sum of the forces on the rectangular part and triangular part will give us the force on one of the sides of the pool.
1) Force on the Rectangular part:
![F = \frac{pg(l.h)}{2}(2(x_{1} )+ h)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bpg%28l.h%29%7D%7B2%7D%282%28x_%7B1%7D%20%29%2B%20h%29)
![x_{1} = 0\\h_{s} = 4ft](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%200%5C%5Ch_%7Bs%7D%20%3D%204ft)
![F = \frac{(62.5)(100)(2)}{2}(2(0)+4)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B%2862.5%29%28100%29%282%29%7D%7B2%7D%282%280%29%2B4%29)
![F =25000lb](https://tex.z-dn.net/?f=F%20%3D25000lb)
2) Force on the triangular part:
![F = \frac{pg(l.h)}{6} (3x_{1} +2h)](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bpg%28l.h%29%7D%7B6%7D%20%283x_%7B1%7D%20%2B2h%29)
here
h = h(d) - h(s)
h = 10-4
h = 6ft
![x_{1} = 4ft\\](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%204ft%5C%5C)
![F = \frac{62.5 (100)(6)}{6} (3(4)+2(6))](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B62.5%20%28100%29%286%29%7D%7B6%7D%20%283%284%29%2B2%286%29%29)
![F = 150000 lb](https://tex.z-dn.net/?f=F%20%3D%20150000%20lb)
now add both of these forces,
F = 25000lb + 150000lb
F = 175000lb
d) Force on the bottom:
![F = \frac{pgw\sqrt{l^{2} + ((h_{d}) - h(s)) } (h_{d}+h_{s}) }{2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7Bpgw%5Csqrt%7Bl%5E%7B2%7D%20%2B%20%28%28h_%7Bd%7D%29%20-%20h%28s%29%29%20%7D%20%28h_%7Bd%7D%2Bh_%7Bs%7D%29%20%20%20%7D%7B2%7D)
![F = \frac{62.5(50)\sqrt{100^{2}(10-4) } (10+4) }{2}](https://tex.z-dn.net/?f=F%20%3D%20%5Cfrac%7B62.5%2850%29%5Csqrt%7B100%5E%7B2%7D%2810-4%29%20%7D%20%2810%2B4%29%20%7D%7B2%7D)
![F = 2187937.5 lb](https://tex.z-dn.net/?f=F%20%3D%202187937.5%20lb)
DOES GOD EXIST? That is one of the best.
Answer:
636.619772368 A
Explanation:
= Torque = ![1\times 10^{-3}\ N/m](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-3%7D%5C%20N%2Fm)
B = Magnetic field of Earth = ![5\times 10^{-5}\ T](https://tex.z-dn.net/?f=5%5Ctimes%2010%5E%7B-5%7D%5C%20T)
A = Area
d = Diameter = 20 cm
Current is given by
![I=\dfrac{\tau}{BA}\\\Rightarrow I=\dfrac{1\times 10^{-3}}{5\times 10^{-5}\times \dfrac{\pi}{4}\times 0.2^2}\\\Rightarrow I=636.619772368\ A](https://tex.z-dn.net/?f=I%3D%5Cdfrac%7B%5Ctau%7D%7BBA%7D%5C%5C%5CRightarrow%20I%3D%5Cdfrac%7B1%5Ctimes%2010%5E%7B-3%7D%7D%7B5%5Ctimes%2010%5E%7B-5%7D%5Ctimes%20%5Cdfrac%7B%5Cpi%7D%7B4%7D%5Ctimes%200.2%5E2%7D%5C%5C%5CRightarrow%20I%3D636.619772368%5C%20A)
The current is 636.619772368 A
Answer:
a moving object will keep moving if not stopped
the sun being at the center of the solar system
Explanation:
Galileo is known for being the first person make a telescope, there fore being the first person to see that the sun is in the center of the solar system. he also came up with the theory that if something is pushed, it would keep moving until stopped by another force. For example, say you drop your pencil, it keeps falling until it hits the ground. That is exactly what Galileo did in his Leaning Tower of Pisa experiment and found that theory to be true.