Thermal Power is approximately 460W. According to the Stephan-Boltzmann Law Formula: P = єσT⁴A, where: P = radiation energy, σ = Stefan-Boltzmann Constant, T = absolute temperature in Kelvin, є = emissivity of the material, and A = the surface area. Given that σ = 5.67 x 10^(-8), ε = 0.6, and T = 30°C which converts to Kelvin as 303K, with the human body dimensions of 2m length and 0.8m circumference leading to an area of 1.6m², so thermal power equals 0.6 x 5.67 x 10^(-8) x 303⁴ x 1.6 = 458.8W. Rounding gives about 460W.
The time required for the water balloon to reach the ground is given as
Here we understand that
Now applying the earlier mentioned formula
Now in the same time frame, we can conclude the distance covered will be
Thus, it will land at a distance of 15.7 m from where it started
To determine the average net force, we can calculate acceleration using:
x = 0.5*a*t^2
v = a*t
where x=3.6m and v=185 m/s.
Thus,
t=v/a and therefore x = 0.5*a*(v/a)^2 = 0.5 * (v^2)/a
which gives us a= (0.5*v^2)/x
Since we have the known values of v and x, we can compute a by substituting these numbers.
The average net force is then given as:
F = m*a,
with m=7.5kg.
Based on my findings, within a period of 2 hours, there are certain atoms remaining.
N = N0 * 2^(-t/6.020) = N = N0 * 2^-0.33223 = 0.7943 N0
Thus, the quantity of atoms that undergo disintegration is N0 - N = N0 * (1 - 0.79430) = 0.2057 N0
This must equate to 15 mCi = 15 * 3.7 * 10^7 = 5.55 * 10^8 atoms
N0 = 5.55 * 10^8 / 0.2057 = 2.698 * 10^9 atoms
Consequently, 2.698 * 10^9 atoms represents the value of N0.
