Calculate the velocity of particle at which its mass will 5 times mass at rest
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Explanation:
It can only get to 1.5 times the rest mass, or in other words you can only get the relativistic mass to 0.5 times the rest mass.
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the relativistic mass ,m= M/√1-(v²/c²)
M is the rest mass
m be the mass in motion
from given: m=5M
on squaring both sides, m² = M²/1-(v²/c²)
25M² = (M²/c²-v²)c²
25c² - 25v² = c²
24c² = 25v²
v²/c² = 24/25
v/c = 2√6/5
v= (2√6/5) c
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