1) 211m/s
2)240<span>°
3)759,600m or 759.6 km</span>
The concept of power is given by the relationship between intensity and area, that is to say that power is defined as
![P = A*I](https://tex.z-dn.net/?f=P%20%3D%20A%2AI)
Our values are given under the condition of,
![r_1 = 18m](https://tex.z-dn.net/?f=r_1%20%3D%2018m)
![r_2 = m](https://tex.z-dn.net/?f=r_2%20%3D%20m)
The power is proportional to the Area, and in turn, we know that the Area of a circle is the product between
times the radius squared, therefore the power is proportional to the radius squared.
![\text{Power} \propto r^2](https://tex.z-dn.net/?f=%5Ctext%7BPower%7D%20%5Cpropto%20r%5E2)
For both panels we would have to
![\frac{\text{Power by panel 1}}{\text{Power by panel 2}} = \frac{r_1^2}{r_2^2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BPower%20by%20panel%201%7D%7D%7B%5Ctext%7BPower%20by%20panel%202%7D%7D%20%3D%20%5Cfrac%7Br_1%5E2%7D%7Br_2%5E2%7D)
![\frac{P_1}{P_2} = (\frac{18}{6})^2](https://tex.z-dn.net/?f=%5Cfrac%7BP_1%7D%7BP_2%7D%20%3D%20%28%5Cfrac%7B18%7D%7B6%7D%29%5E2)
![\frac{P_1}{P_2} = 9](https://tex.z-dn.net/?f=%5Cfrac%7BP_1%7D%7BP_2%7D%20%3D%209)
Therefore the correct option is option C.9
The pressure increase at the bottom of the pool after they enter the pool and float is 106.103 Pa.
<h3>What is absolute pressure?</h3>
Absolute pressure is the force that exists in a space when there is no matter present, or when there is a perfect vacuum. This absolute zero serves as the baseline for measurements in absolute pressure. The measurement of barometric pressure is the greatest illustration of an absolute referenced pressure. In order to determine absolute pressure, a complete vacuum is used. In contrast, gauge pressure is the amount of pressure that is measured in relation to atmospheric pressure, also referred to as barometric pressure.
given,
diameter = 6 m
depth = h = 1.5 m
Atmospheric pressure = P₀ = 10⁵ Pa
a) absolute pressure
P = P₀ + ρ g h
P = 10⁵ + 1000 x 10 x 1.5
P = 1.15 x 10⁵ Pa
b) When two person enters into the pool,
mass of the two person = 150 Kg
weight of water level displaced exists equal to the weight of person.
![\rho \mathrm{Vg}=2 \mathrm{mg} \\](https://tex.z-dn.net/?f=%5Crho%20%5Cmathrm%7BVg%7D%3D2%20%5Cmathrm%7Bmg%7D%20%5C%5C)
![V=\frac{2 m}{\rho} \\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%20m%7D%7B%5Crho%7D%20%5C%5C)
![V=\frac{2 \times 150}{1000} \\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2%20%5Ctimes%20150%7D%7B1000%7D%20%5C%5C)
![\mathrm{~V}=0.3 \mathrm{~m}^3](https://tex.z-dn.net/?f=%5Cmathrm%7B~V%7D%3D0.3%20%5Cmathrm%7B~m%7D%5E3)
Area of pool ![$=\frac{\pi}{4} d^2$](https://tex.z-dn.net/?f=%24%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%20d%5E2%24)
![&=\frac{\pi}{4} \times 6^2 \\](https://tex.z-dn.net/?f=%26%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%20%5Ctimes%206%5E2%20%5C%5C)
![&=28.27 \mathrm{~m}^2](https://tex.z-dn.net/?f=%26%3D28.27%20%5Cmathrm%7B~m%7D%5E2)
Height of the water rise
![h &=\frac{V}{A} \\](https://tex.z-dn.net/?f=h%20%26%3D%5Cfrac%7BV%7D%7BA%7D%20%5C%5C)
![h &=\frac{0.3}{28.27} \\](https://tex.z-dn.net/?f=h%20%26%3D%5Cfrac%7B0.3%7D%7B28.27%7D%20%5C%5C)
![& \mathrm{~h}=0.0106 \mathrm{~m}](https://tex.z-dn.net/?f=%26%20%5Cmathrm%7B~h%7D%3D0.0106%20%5Cmathrm%7B~m%7D)
P = ρ g h
P = 1000 x 10 x 0.0106
P = 106.103 Pa
To learn more about absolute pressure refer to:
brainly.com/question/17200230
#SPJ4
Let k = the force constant of the spring (N/m).
The strain energy (SE) stored in the spring when it is compressed by a distance x=0.35 m is
SE = (1/2)*k*x²
= 0.5*(k N/m)*(0.35 m)²
= 0.06125k J
The KE (kinetic energy) of the sliding block is
KE = (1/2)*mass*velocity²
= 0.5*(1.8 kg)*(1.9 m/s)²
= 3.249 J
Assume that negligible energy is lost when KE is converted into SE.
Therefore
0.06125k = 3.249
k = 53.04 N/m
Answer: 53 N/m (nearest integer)
Answer:
Friction is a force that opposes motion.