find the relativistic mass of an electron moving with a speed of 0.8c
Answers
Explanation:
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Answer:
The Desired Answer is 1.51×10⁻³⁰ kg. An Electron moving with a speed 0.8 times speed of light would have it's relativistic mass as 1.51×10⁻³⁰ kg.
Explanation:
What is relativistic mass?
When a body moves with a speed comparable to the speed of light, we can see the change in it's mass. This changed mass is called as Relativistic Mass.
Formula of Relativistic mass ⇒ m = m₀÷√1-(v²/c²).
where, m₀ = mass at rest, v = speed of the body and c = speed of light.
Now, Given speed of electron = 0.8 c.
We know that mass of electron = 9.11×10⁻³¹
Hence , putting the values in the formula and finding value of m :
m = 9.11×10⁻³¹÷√1 - {(0.8c)²/c²}
= 9.11×10⁻³¹÷√0.36
= 9.11×10⁻³¹÷0.6
=1.51×10⁻³⁰ kg
Therefore, the relativistic mass of an electron moving with velocity 0.8 c is 1.51×10⁻³⁰ kg