Result:
, 
Explanation:
The electromagnetic attraction between the electron and the proton in the nucleus is equivalent to the centripetal force:

where
k represents the Coulomb constant
e denotes the charge of the electron
e denotes the charge of the proton in the nucleus
r signifies the distance from the electron to the nucleus
v indicates the velocity of the electron
is the mass of the electron
Rearranging for v, we determine

Inside a hydrogen atom, the distance separating the electron from the nucleus is roughly

while the mass of the electron is

and the charge is

By plugging in the values into the formula, we achieve

Answer:
Explanation:
at 23 degrees Celsius, the diameter measures 4.511 mm
GIVEN DATA:
diameter of hole = 4.500 mm
T_1 = 23.0 degrees Celsius
T_2 = - 78.0 degrees Celsius
the expansion coefficient of aluminum is 2.4*10^{-5} (degrees Celsius)^{-1}
the diameter at 23 degrees Celsius is stated as


= 4.511 mm
the diameter of the rivet after temperature change is given as



= 0.4511 cm
Answer: damping coefficient = 1.5×10^5Ns/m
Explanation:
Refer to the attached file for the solution
Answer:
The distinction between the locations of the two events as perceived in S is calculated to be 4.42 x 10^8 m
Explanation:
The time dilation concept has been utilized to address this question, as detailed in the attachment.
Response:
The intensity of light 18 feet underwater is about 0.02%
Clarification:
Employing Lambert's law
Let dI / dt = kI, where k is a proportionality factor, I represents the intensity of incident light, and t indicates the thickness of the medium
Then dI / I = kdt
Taking logarithms,
ln(I) = kt + ln C
I = Ce^kt
At t=0, I=I(0) implies C=I(0)
I = I(0)e^kt
At t=3 & I=0.25I(0), we find 0.25=e^3k
Solving for k gives k = ln(0.25)/3
k = -1.386/3
k = -0.4621
I = I(0)e^(-0.4621t)
I(18) = I(0)e^(-0.4621*18)
I(18) = 0.00024413I(0)
The intensity of light 18 feet underwater is about 0.2%