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

(6-16)/4.0=-2.5 m/s²
The car's acceleration is -2.5 m/s²
Answer:
10000 V
0.00225988700565 m²

Explanation:
E = Electric field = 
d = Distance = 2.5 mm
Q = Charge = 80 nC
= Permittivity of free space = 
The potential difference is calculated as

The potential difference across the plates amounts to 10000 V
Area is determined by

The area of each plate measures 0.00225988700565 m²
Capacitance is determined by

The capacitance is 
The formula for the kinetic energy of any object in motion is
(1/2) (mass) (velocity²).
For the object you've mentioned, it translates to
(1/2) (100 kg) (12.5 m/s)²
= (50 kg) (156.25 m²/s²)
= 7,812.5 joules
______________________________
Beware that your attachment is heavily blurred and unreadable.
Answer: The calorimeter's heat capacity is 
Explanation:
This scenario assumes the amount of heat lost by the hot object equals the amount of heat gained by the cold object.


where,
= specific heat capacity of water = 
= specific heat capacity of calorimeter =?
= mass of water = 108.7 g
= mass of calorimeter = 108.7 g
= final temperature of the mixture = 
= initial temperature of the water = 
= initial temperature of calorimeter = 
Now substituting all provided values into the formula, we obtain


Hence, the heat capacity of the calorimeter is 