To solve this problem we will apply the principles of energy conservation. The kinetic energy in the object must be maintained and transformed into the potential electrostatic energy. Therefore mathematically
Here,
m = mass (At this case of the proton)
v = Velocity
k = Coulomb's constant
= Charge of each object
r= Distance between them
Rearranging to find the second charge we have that
Replacing,
Therefore the charge on the sphere is 3.6531nC
To solve this problem we will apply the concept of Impulse. Which is described as the product between the Force and the change in time. Mathematically this can be described as
Where,
F = Force
= Time
Our values are given as,
F = 1450N
Replacing we have,
Therefore the impulse delivered to the soccer ball is or
Answer:
A photon of wavelength 103 nm is released
Explanation:
When an electron in an atom jumps from a higher energy level to a lower energy level, it releases a photon whose energy is equal to the difference in energy between the two levels.
For example, if we are talking about a hydrogen atom, the energy of the levels are:
So, the energy of the photon released when the electron jumps from the level n=3 to n=1 is
In Joules,
We can also find the wavelength of this photon, using the equation: