Answer:
a) 0.0324 rad/s²
b) 2.01 rad/s , the final angular speed gets doubled
Explanation:
w₀ = initial angular speed = 0 rad/s
w = final angular speed = 0.16 rev/s = 0.16 (6.28) = 1.005 rad/s
t = time interval = 31 s
α = angular acceleration
final angular speed is given as
w = w₀ + α t
1.005 = 0 + α (31)
α = 0.0324 rad/s²
b)
After the acceleration is doubled
α' = 2 α = 2 (0.0324) = 0.0648 rad/s²
w' = final angular speed
w'₀ = initial angular speed = 0 rad/s
final angular speed is given as
w = w₀ + α t
w = 0 + (0.0648) (31)
w = 2.01 rad/s
yes the final angular speed gets doubled
Answer:
The acceleration is 
Explanation:
From the question we are told that
The radius is 
The magnitude of the magnetic field is 
The rate at which it decreases is 
The distance from the center of field is 
According to Faraday's law
and 
Where the magnetic flux 
E is the electric field
dl is a unit length
So
Now 
is the circumference of the circular loop formed by the magnetic field and it mathematically represented as 
A is the area of the circular loop formed by the magnetic field and it mathematically represented as 
So
![E = \frac{r}{2} [ - \frac{db}{dt} ]](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Br%7D%7B2%7D%20%5B%20-%20%5Cfrac%7Bdb%7D%7Bdt%7D%20%5D)
Substituting values
The negative signify the negative which is counterclockwise
The force acting on the proton is mathematically represented as
Also 
So
Where m is the mass of the the proton which has a value of 
So
Answer: The question is incomplete because the options are not given here are the options gotten from Another website.
A. Ultraviolet light detects the presence of radioactive substances.
B.Ultraviolet light shows cold areas as blue and warm areas as red.
C.Ultraviolet light causes substances to fluoresce and give off visible light.
D. Ultraviolet light transmits information to AM and FM radio receivers.
The correct option is C.
Ultraviolet light causes substances to fluoresce and give off visible light
Explanation:
This is because UV light radiates at a very short wavelengths compared to visible light which is impossible for humans to see it. Therefore , when UV light is absorbed by some particular materials, it reflect back towards the eye as visible radiation with a longer wavelength .This process is called UV-induced visible fluorescence.
Answer:
Explanation:
Electric field due to charge at origin
= k Q / r²
k is a constant , Q is charge and r is distance
= 9 x 10⁹ x 5 x 10⁻⁶ / .5²
= 180 x 10³ N /C
In vector form
E₁ = 180 x 10³ j
Electric field due to q₂ charge
= 9 x 10⁹ x 3 x 10⁻⁶ /.5² + .8²
= 30.33 x 10³ N / C
It will have negative slope θ with x axis
Tan θ = .5 / √.5² + .8²
= .5 / .94
θ = 28°
E₂ = 30.33 x 10³ cos 28 i - 30.33 x 10³ sin28j
= 26.78 x 10³ i - 14.24 x 10³ j
Total electric field
E = E₁ + E₂
= 180 x 10³ j +26.78 x 10³ i - 14.24 x 10³ j
= 26.78 x 10³ i + 165.76 X 10³ j
magnitude
= √(26.78² + 165.76² ) x 10³ N /C
= 167.8 x 10³ N / C .
