Question

Calculate the relativistic speed of a particle at a time 6 s after it star t = 0 s . The mass of the particle is 6 × 10-2 kg and the force acting is! (a) 0.0411o (b) 0.0350c (c) 0.0366c (d) 0.0390c

Answer 1

The relativistic speed of a particle is
`0.0333*10^(-5)c`

Step-by-step explanation:

Given that,

Time = 6 sec

Force = 1

Mass of the particle
`m=6*10^(-2)\ kg`

We need to calculate the acceleration

Using formula of acceleration

`a = (F)/(m)`

Put the value into the formula

`a=(1)/(6*10^(-2))`

`a=16.67\ m/s^2`

We need to calculate the velocity after 6 sec

Using equation of motion

`v = u+at`

Put the value

`v=0+16.67*6`

`v=100\ m/s`

The velocity in term of c

`v=(100c)/(3*10^(8))`

`v=3.333*10^(-7)c`

`v=0.0333*10^(-5)c`

Hence, The relativistic speed of a particle is
`0.0333*10^(-5)c`