A At one constant temp and another at a constant pressure
Answer:
50.8 watt
Explanation:
we know that P=W÷t
W=F.S S-->distance=50 ft= 15.24 m
F=ma
=100×10=1000 N
SO W= 1000×15.24
=15240 J
NOW
P=W÷t t=5 mints = 5×60=300 sec
P=15240÷300
P=50.8 watt
The two systems that work together to deliver oxygen are D, respiratory and cardiovascular
Answer:
ρ/ρ2 = 3 / R₀ the two densities are different
Explanation:
Density is defined as
ρ = M / V
As the nucleus is spherical
V = 4/3 π r³
Let's replace
ρ = A / (4/3 π R₀³)
ρ = ¾ A / π R₀³
b)
ρ2 = F / area
The area of a sphere is
A = 4π R₀²
ρ2 = F / 4π R₀²
ρ2 = F / 4π R₀²
Atomic number is the number of protons in the nucleon in not very heavy nuclei. This number is equal to the number of neutrons, but changes in heavier nuclei, there are more neutrons than protons.
Let's look for the relationship of the two densities
ρ/ρ2 = ¾ A / π R₀³ / (F / 4π R₀²)
ρ /ρ2 = 3 (A / F) (1 / R₀)
In this case it does not say that the nucleon number is A (F = A), the relationship is
ρ/ρ2 = 3 / R₀
I see that the two densities are different
Answer:
The x-component of the electric field at the origin = -11.74 N/C.
The y-component of the electric field at the origin = 97.41 N/C.
Explanation:
<u>Given:</u>
- Charge on first charged particle,
![q_1=-4.10\ nC=-4.10\times 10^{-9}\ C.](https://tex.z-dn.net/?f=q_1%3D-4.10%5C%20nC%3D-4.10%5Ctimes%2010%5E%7B-9%7D%5C%20C.)
- Charge on the second charged particle,
![q_2=3.80\ nC=3.80\times 10^{-9}\ C.](https://tex.z-dn.net/?f=q_2%3D3.80%5C%20nC%3D3.80%5Ctimes%2010%5E%7B-9%7D%5C%20C.)
- Position of the first charge =
![(x_1=0.00\ m,\ y_1=0.600\ m).](https://tex.z-dn.net/?f=%28x_1%3D0.00%5C%20m%2C%5C%20y_1%3D0.600%5C%20m%29.)
- Position of the second charge =
![(x_2=1.50\ m,\ y_2=0.650\ m).](https://tex.z-dn.net/?f=%28x_2%3D1.50%5C%20m%2C%5C%20y_2%3D0.650%5C%20m%29.)
The electric field at a point due to a charge
at a point
distance away is given by
![\vec E = \dfrac{kq}{|\vec r|^2}\ \hat r.](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cdfrac%7Bkq%7D%7B%7C%5Cvec%20r%7C%5E2%7D%5C%20%5Chat%20r.)
where,
= Coulomb's constant, having value ![\rm 8.99\times 10^9\ Nm^2/C^2.](https://tex.z-dn.net/?f=%5Crm%208.99%5Ctimes%2010%5E9%5C%20Nm%5E2%2FC%5E2.)
= position vector of the point where the electric field is to be found with respect to the position of the charge
.
= unit vector along
.
The electric field at the origin due to first charge is given by
![\vec E_1 = \dfrac{kq_1}{|\vec r_1|^2}\ \hat r_1.](https://tex.z-dn.net/?f=%5Cvec%20E_1%20%3D%20%5Cdfrac%7Bkq_1%7D%7B%7C%5Cvec%20r_1%7C%5E2%7D%5C%20%5Chat%20r_1.)
is the position vector of the origin with respect to the position of the first charge.
Assuming,
are the units vectors along x and y axes respectively.
![\vec r_1=(0-x_1)\hat i+(0-y_1)\hat j\\=(0-0)\hat i+(0-0.6)\hat j\\=-0.6\hat j.\\\\|\vec r_1| = 0.6\ m.\\\hat r_1=\dfrac{\vec r_1}{|\vec r_1|}=\dfrac{0.6\ \hat j}{0.6}=-\hat j.](https://tex.z-dn.net/?f=%5Cvec%20r_1%3D%280-x_1%29%5Chat%20i%2B%280-y_1%29%5Chat%20j%5C%5C%3D%280-0%29%5Chat%20i%2B%280-0.6%29%5Chat%20j%5C%5C%3D-0.6%5Chat%20j.%5C%5C%5C%5C%7C%5Cvec%20r_1%7C%20%3D%200.6%5C%20m.%5C%5C%5Chat%20r_1%3D%5Cdfrac%7B%5Cvec%20r_1%7D%7B%7C%5Cvec%20r_1%7C%7D%3D%5Cdfrac%7B0.6%5C%20%5Chat%20j%7D%7B0.6%7D%3D-%5Chat%20j.)
Using these values,
![\vec E_1 = \dfrac{(8.99\times 10^9)\times (-4.10\times 10^{-9})}{(0.6)^2}\ (-\hat j)=1.025\times 10^2\ N/C\ \hat j.](https://tex.z-dn.net/?f=%5Cvec%20E_1%20%3D%20%5Cdfrac%7B%288.99%5Ctimes%2010%5E9%29%5Ctimes%20%28-4.10%5Ctimes%2010%5E%7B-9%7D%29%7D%7B%280.6%29%5E2%7D%5C%20%28-%5Chat%20j%29%3D1.025%5Ctimes%2010%5E2%5C%20N%2FC%5C%20%5Chat%20j.)
The electric field at the origin due to the second charge is given by
![\vec E_2 = \dfrac{kq_2}{|\vec r_2|^2}\ \hat r_2.](https://tex.z-dn.net/?f=%5Cvec%20E_2%20%3D%20%5Cdfrac%7Bkq_2%7D%7B%7C%5Cvec%20r_2%7C%5E2%7D%5C%20%5Chat%20r_2.)
is the position vector of the origin with respect to the position of the second charge.
![\vec r_2=(0-x_2)\hat i+(0-y_2)\hat j\\=(0-1.50)\hat i+(0-0.650)\hat j\\=-1.5\hat i-0.65\hat j.\\\\|\vec r_2| = \sqrt{(-1.5)^2+(-0.65)^2}=1.635\ m.\\\hat r_2=\dfrac{\vec r_2}{|\vec r_2|}=\dfrac{-1.5\hat i-0.65\hat j}{1.634}=-0.918\ \hat i-0.398\hat j.](https://tex.z-dn.net/?f=%5Cvec%20r_2%3D%280-x_2%29%5Chat%20i%2B%280-y_2%29%5Chat%20j%5C%5C%3D%280-1.50%29%5Chat%20i%2B%280-0.650%29%5Chat%20j%5C%5C%3D-1.5%5Chat%20i-0.65%5Chat%20j.%5C%5C%5C%5C%7C%5Cvec%20r_2%7C%20%3D%20%5Csqrt%7B%28-1.5%29%5E2%2B%28-0.65%29%5E2%7D%3D1.635%5C%20m.%5C%5C%5Chat%20r_2%3D%5Cdfrac%7B%5Cvec%20r_2%7D%7B%7C%5Cvec%20r_2%7C%7D%3D%5Cdfrac%7B-1.5%5Chat%20i-0.65%5Chat%20j%7D%7B1.634%7D%3D-0.918%5C%20%5Chat%20i-0.398%5Chat%20j.)
Using these values,
![\vec E_2= \dfrac{(8.99\times 10^9)\times (3.80\times 10^{-9})}{(1.635)^2}(-0.918\ \hat i-0.398\hat j) =-11.74\ \hat i-5.09\ \hat j\ N/C.](https://tex.z-dn.net/?f=%5Cvec%20E_2%3D%20%5Cdfrac%7B%288.99%5Ctimes%2010%5E9%29%5Ctimes%20%283.80%5Ctimes%2010%5E%7B-9%7D%29%7D%7B%281.635%29%5E2%7D%28-0.918%5C%20%5Chat%20i-0.398%5Chat%20j%29%20%3D-11.74%5C%20%5Chat%20i-5.09%5C%20%5Chat%20j%5C%20%20N%2FC.)
The net electric field at the origin due to both the charges is given by
![\vec E = \vec E_1+\vec E_2\\=(102.5\ \hat j)+(-11.74\ \hat i-5.09\ \hat j)\\=-11.74\ \hat i+(102.5-5.09)\hat j\\=(-11.74\ \hat i+97.41\ \hat j)\ N/C.](https://tex.z-dn.net/?f=%5Cvec%20E%20%3D%20%5Cvec%20E_1%2B%5Cvec%20E_2%5C%5C%3D%28102.5%5C%20%5Chat%20j%29%2B%28-11.74%5C%20%5Chat%20i-5.09%5C%20%5Chat%20j%29%5C%5C%3D-11.74%5C%20%5Chat%20i%2B%28102.5-5.09%29%5Chat%20j%5C%5C%3D%28-11.74%5C%20%5Chat%20i%2B97.41%5C%20%5Chat%20j%29%5C%20N%2FC.)
Thus,
x-component of the electric field at the origin = -11.74 N/C.
y-component of the electric field at the origin = 97.41 N/C.