0.5mv^2
0.5 times 40 times 3^2
The kinetic energy is 180
Answer:
Ng = 0.893 N, Ne = 0.107N
Explanation:
Number of particles in Ground state = Ng
Number of particles in Excited state = Ne
Ne/Ng = e^{(-ΔE)/kt}
Since excited state is 3 fold degenerate
Ne/Ng =3 x e^{(-ΔE)/kt}
ΔE = Energy difference between ground and excited states = 0.25eV
T = 960 K
Constant k = 8.617 x 10^-5 eV/K
Ne/Ng = 3 x e^{-0.25/(8.617x10^-5) x 960}
= 3 x e^(-3.188645)
= 3 x 0.0412 = 0.1237 ≅ 0.12
Ne = 0.12 Ng
but Ne + Ng = N, where is N is total number of particles, substituting Ne into equation we get,
Ng(1 + 0.12) = N
Ng = N/1.12 = 0.893N
and Ne = 0.12 x 0.893 N = 0.107 N
Well, they are equal and opposite, but the force is high enough to break up the snowball. That is where the energy is dissipated.
Answer: 80.384 cubic cm /min
Explanation:
Let V denote the volume and r denotes the radius of the spherical snowball .
Given : 
We know that the volume of a sphere is given by :-
Differentiating on the both sides w.r.t. t (time) ,w e get
When r= 8 cm
Hence, the volume of the snowball decreasing at the rate of 80.384 cubic cm /min.
