We know, Momentum is the product of mass and velocity. As velocity is equal, momentum of Truck will be greater as mass of Truck is greater than the scooter. As momentum is greater from truck side, it will transfer the same amount to the scooter, so it flies away
Hope this helps!
First question (upper left):
1/Req = 1/12 + 1/24 = 1/8
Req = 8 ohms
Voltage is equal through different resistors, and V1 = V2 = 24 V.
Current varies through parallel resistors: I1 = V1/R1 = 24/12 = 2 A. I2 = 24/24 = 1 A.
Second question (middle left):
V1 = V2 = 6 V (parallel circuits)
I1 = 2 A, I2 = 1 A, IT = 2+1 = 3 A.
R1 = V1/I1 = 6/2 = 3 ohms, R2 = 6/1 = 6 ohms, 1/Req = 1/2 + 1/1, Req = 2/3 ohms
Third question (bottom left):
V1 = V2 = 12 V
IT = 3 A, meaning Req = V/It = 12 V/3 A = 4 ohms
1/Req = 1/R1 + 1/R2, 1/4 = 1/12 + 1/R2, R2 = 6 ohms
I1 = V/R1 = 1 A, I2 = V/R2 = 2 A
Fourth question (top right):
1/Req = 1/20 + 1/20, Req = 10 ohms
IT = 4 A, so VT = IT(Req) = 4*10 = 40 V
Parallel circuits, so V1 = V2 = VT = 40 V
Since the resistors are identical, the current is split evenly between both: I1 = I2 = IT/2 = 2 A.
Fifth question (middle right):
1/Req = 1/5 + 1/20 + 1/4, Req = 2 ohms
IT = VT/Req = 40 V/2 ohms = 20 A
V1 = V2 = V3 = 40 V
The current of 20 A will be divided proportionally according to the resistances of 5, 20, and 4, the factors will be 5/(5+20+4), 20/(5+20+4), and 4/(5+20+4), which are 5/29, 20/29, and 4/29.
I1 = 20(5/29) = 100/29 A
I2 = 20(20/29) = 400/29 A
I3 = 20(4/29) = 80/29 A
Sixth question (bottom right):
V2 = 30V is given, but since these are parallel circuits, V1 = VT = 30 V.
Then I1 = V1/R1 = 30 V/10 ohms = 3 A.
I2 = 30 V/15 ohms = 2 A.
IT = 3 + 2 = 5 A
1/Req = 1/10 + 1/15, Req = 6 ohms
The universe is made of a lot of galaxies. The likely explanation for a galaxy having more than one nucleus is that the galaxy must have swallowed several smaller galaxies that were its neighbors.
- There are some reason behind the theory that the eating up of a galaxy is by another galaxy. The galaxy is said to have a powerful past due to the fact that a lot of smaller galaxies were eaten up.
The universe is known to have a very largest galaxy called the giant elliptical galaxy that is made up of about a trillion stars.
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Answer:
![x=\dfrac{r}{\sqrt2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7Br%7D%7B%5Csqrt2%7D)
Explanation:
Given that
Radius =r
Electric filed =E
Q=Charge on the ring
The electric filed at distance x given as
![E=K\dfrac{Q}{(r^2+x^2)^{3/2}}](https://tex.z-dn.net/?f=E%3DK%5Cdfrac%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B3%2F2%7D%7D)
For maximum condition
![\dfrac{dE}{dx}=0](https://tex.z-dn.net/?f=%5Cdfrac%7BdE%7D%7Bdx%7D%3D0)
![E=K{Q}{(r^2+x^2)^{-3/2}}](https://tex.z-dn.net/?f=E%3DK%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B-3%2F2%7D%7D)
![\dfrac{dE}{dx}=K{Q}{(r^2+x^2)^{-3/2}}-\dfrac{3}{2}\times 2\times x\times K{Q}{(r^2+x^2)^{-5/2}}](https://tex.z-dn.net/?f=%5Cdfrac%7BdE%7D%7Bdx%7D%3DK%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B-3%2F2%7D%7D-%5Cdfrac%7B3%7D%7B2%7D%5Ctimes%202%5Ctimes%20x%5Ctimes%20K%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B-5%2F2%7D%7D)
For maximum condition
![\dfrac{dE}{dx}=0](https://tex.z-dn.net/?f=%5Cdfrac%7BdE%7D%7Bdx%7D%3D0)
![K{Q}{(r^2+x^2)^{-3/2}}-\dfrac{3}{2}\times 2\times x\times K{Q}{(r^2+x^2)^{-5/2}}=0](https://tex.z-dn.net/?f=K%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B-3%2F2%7D%7D-%5Cdfrac%7B3%7D%7B2%7D%5Ctimes%202%5Ctimes%20x%5Ctimes%20K%7BQ%7D%7B%28r%5E2%2Bx%5E2%29%5E%7B-5%2F2%7D%7D%3D0)
![r^2+x^2-3x^2=0](https://tex.z-dn.net/?f=r%5E2%2Bx%5E2-3x%5E2%3D0)
![x=\dfrac{r}{\sqrt2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7Br%7D%7B%5Csqrt2%7D)
At
the electric field will be maximum.