Answer:
Explanation:
All the energy in oil, gas, and coal originally came from the sun, captured through photosynthesis.for example when we burn wood to release energy that trees capture from the sun, we burn fossil fuels to release the energy that ancient plants captured from the sun. We can think of this energy as having been deposited in a natural solar power bank over millions of years.
So, in one sense, gasoline-burning cars, coal-burning power plants, and homes heated by natural gas are all solar powered!
Answer:
a) 
, b) 
, 
, 
Explanation:
a) The system mass-spring is well described by the following equation of equilibrium:
After some handling in physical and mathematical definition, the following non-homogeneous second-order linear differential equation:
The solution of this equation is:
The velocity function is:
Initial conditions are:
Equations at 
are:
The spring constant is:
After some algebraic handling, amplitude and phase angle are found:
The position can be described by this function:
b) The period of the motion is:
The amplitude is:
The phase of the motion is:
Answer:
E = 4.72 * 10⁻⁶ Nm²
Explanation:
Parameters given:
Outer radius, R = 3.70cm = 0.037m
Inner radius, r = 3.15cm = 0.0315m
Permittivity of free space, ε₀ = 8.85 * 10⁻¹² C/Nm²
Charge density: 1.22 * 10⁻³ C/m³
The question requires that we solve using Gauss law which states that the net electric field through a closed surface is proportional to the enclosed electric charge.
Hence,
E = Q/Aε₀
Charge Q is given as
Q = ρπ(R² ⁻ r²)L
A = 2π(R - r)L
E = [ρπ(R² ⁻ r²)L]/[2π(R - r)ε₀L]
Using difference of two squares,
(R² ⁻ r²) = (R + r)(R - r)
E =[ρ(R + r)]/(2ε₀)
E = [1.22 * 10⁻³ *(0.0370 + 0.0315)]/(2 * 8.85 * 10⁻¹²)
E = 4.72 * 10⁻⁶ Nm²
