Answer:
The relativistic speed of a particle is [tex]0.0333\times10^{-5}c[/tex]
Explanation:
Given that,
Time = 6 sec
Force = 1
Mass of the particle [tex]m=6\times10^{-2}\ kg[/tex]
We need to calculate the acceleration
Using formula of acceleration
[tex]a = \dfrac{F}{m}[/tex]
Put the value into the formula
[tex]a=\dfrac{1}{6\times10^{-2}}[/tex]
[tex]a=16.67\ m/s^2[/tex]
We need to calculate the velocity after 6 sec
Using equation of motion
[tex]v = u+at[/tex]
Put the value
[tex]v=0+16.67\times6[/tex]
[tex]v=100\ m/s[/tex]
The velocity in term of c
[tex]v=\dfrac{100c}{3\times10^{8}}[/tex]
[tex]v=3.333\times10^{-7}c[/tex]
[tex]v=0.0333\times10^{-5}c[/tex]
Hence, The relativistic speed of a particle is [tex]0.0333\times10^{-5}c[/tex]
