An electron is very far away from a proton (fixed in place) and is released from rest. How fast will the electron be traveling when it is 0.03 m away from the proton?

The **speed **of electron be 183.73 m/s.
What is potential energy?
The **energy **held within an object is known as potential energy. There are several different types of potential energy , including gravitational potential energy, elastic potential energy, and electric potential energy. An object's energy as a result of the overall charge it contains is known as its electric potential .
Given parameters:
**Distance **between proton and electron: d = 0.03 m.
Let, at that point the **speed **of the electron be v.
So from conservation of energy:
**Kinetic energy **of electron + **potential energy **of electron = 0
1/2×mv² - 1/(4πε₀)(e²/d) = 0
⇒v = √(2e²/m(4πε₀)(d))
= √( 2 × (1.6 ×10⁻19)²× 9 × 10⁹/9.1093837 × 10⁻³¹×0.03) m/s
= 183.73 m/s.
The speed of electron be 183.73 m/s.
Learn more about** potential energy** here:
https://brainly.com/question/24284560
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Answered by triptivt3 | 2024-06-16

Using the conservation of energy and the principles of kinetic and potential energy, we calculated that the speed of the electron when it is 0.03 m away from the proton is approximately 183.73 m/s. This result comes from equating the initial potential energy to the final kinetic energy as it falls towards the proton. This underscores how electrical forces can significantly accelerate small charged particles like electrons.
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Answered by triptivt3 | 2024-12-26