Answer:
σ = 0.255*10^-3 C/m²
Explanation:
The Electric field Intensity act due to plate = σ/ε₀, where σ is surface charge density of plate.
At equilibrium ,
Upward force = downward force
Tcosθ = mg ----(1)
Assuming that the Forward force = backward force, then
Tsinθ = σq/ε₀
[ ∵ F = qE , ∴ F = qσ/ε₀ ] -----(2)
Dividing equation (2) by (1)
Tsinθ/Tcosθ = qσ/ε₀mg
⇒Tanθ = qσ/ε₀mg
σ = ε₀mg tanθ/q
Now substituting the values of
σ = (8.85*10^-12 * 1 * tan 30) / 2*10^-8
σ = (8.85*10^-12 * 0.5774) / 2*10^-8
σ = 5.11*10^-12 / 2*10^-8
σ = 0.255*10^-3 C/m²
Answer:
r = 71.8⁰
Explanation:
given,
refractive index of the glass 1 = 1.70
refractive index of glass 2 = 1.58
angle of incidence = 62°
angle of refraction =?
using Snell's law


1.7 ×sin 62 ^0 = 1.58× sin r

sin r = 0.95
r = sin⁻¹(0.95)
r = 71.8⁰
angle of refraction =r = 71.8⁰
Answer:
The distribution is as depicted in the attached figure.
Explanation:
From the given data
- The plane wall is initially with constant properties is initially at a uniform temperature, To.
- Suddenly the surface x=L is exposed to convection process such that T∞>To.
- The other surface x=0 is maintained at To
- Uniform volumetric heating q' such that the steady state temperature exceeds T∞.
Assumptions which are valid are
- There is only conduction in 1-D.
- The system bears constant properties.
- The volumetric heat generation is uniform
From the given data, the condition are as follows
<u>Initial Condition</u>
At t≤0

This indicates that initially the temperature distribution was independent of x and is indicated as a straight line.
<u>Boundary Conditions</u>
<u>At x=0</u>
<u />
<u />
This indicates that the temperature on the x=0 plane will be equal to To which will rise further due to the volumetric heat generation.
<u>At x=L</u>
<u />
<u />
This indicates that at the time t, the rate of conduction and the rate of convection will be equal at x=L.
The temperature distribution along with the schematics are given in the attached figure.
Further the heat flux is inferred from the temperature distribution using the Fourier law and is also as in the attached figure.
It is important to note that as T(x,∞)>T∞ and T∞>To thus the heat on both the boundaries will flow away from the wall.
The braking force is -400 N
Explanation:
We can solve this problem by using the impulse theorem, which states that the impulse applied on the ferry (the product of force and time) is equal to its change in momentum:

where in this problem, we have:
F is the force applied by the brakes
is the time interval
m = 13,000 kg is the mass of the ferry
u = 2.0 m/s is the initial velocity
v = 0 is the final velocity
And solving for F, we find the force applied by the brakes:

where the negative sign indicates that the direction is backward.
Learn more about impulse:
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Answer:
Without food your not able to produce energy thats why you cannot work so long