I can see that they are running away like my dad did
This means that there is same current flow in both the circuit, or the circuit one has twice the power of circuit two.
According to ohm's law, the resistance is given as
I=V/R
Since the circuit one has twice the voltage, and resistance
I1=I2
Answer:
the spring constant k = 
the value for the damping constant 
Explanation:
From Hooke's Law

Thus; the spring constant k = 
The amplitude is decreasing 37% during one period of the motion


Therefore; the value for the damping constant 
Answer:Density is the mass of an object divided by its volume. Density often has units of grams per cubic centimeter (g/cm3). ... You probably have an intuitive feeling for density in the materials you use often. For example, sponges are low in density; they have a low mass per unit volume.
Explanation:
This is an interesting (read tricky!) variation of Rydberg Eqn calculation.
Rydberg Eqn: 1/λ = R [1/n1^2 - 1/n2^2]
Where λ is the wavelength of the light; 1282.17 nm = 1282.17×10^-9 m
R is the Rydberg constant: R = 1.09737×10^7 m-1
n2 = 5 (emission)
Hence 1/(1282.17 ×10^-9) = 1.09737× 10^7 [1/n1^2 – 1/25^2]
Some rearranging and collecting up terms:
1 = (1282.17 ×10^-9) (1.09737× 10^7)[1/n2 -1/25]
1= 14.07[1/n^2 – 1/25]
1 =14.07/n^2 – (14.07/25)
14.07n^2 = 1 + 0.5628
n = √(14.07/1.5628) = 3