The new charge of the ball will amount to 8x10^8C after removing 5x10^27 electrons.
Explanation:
Initially, if the sphere is electrically neutral, its charge stands at 0C.
When an electron with a charge of (-1.6*10^-19 C) is taken away, we effectively add a positive charge, leading to:
1.6*10^-19 C as the sphere's new charge.
For a total of N electrons removed, the sphere's overall charge now becomes:
N*1.6*10^-19 C.
To calculate N when:
N*1.6*10^-19 C = 8.0x 10^8 C.
We find that N is: (8.0/1.6)x10^(8 + 19) = 5x10^27 electrons.
The force exerted on the car during the stop measures 6975 N.
Explanation: Given that the mass (m) is 930 kg, speed (s) at 56 km/h converts to 15 m/s, and the stopping time (t) is 2 s, we compute the force using F = m * a. Here, acceleration (a) can be obtained through a = s/t. The total force calculation confirms that F = 930 kg * (15 m/s) / 2 s results in 6975 N.
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:
Let us denote the launch angle as
.
,
, and
are complementary angles which means their ranges are identical.



Time of flight is indicated as
.

For 




