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

Answer:

The relativistic speed of a particle is $0.0333\times10^{-5}c$

Explanation:

Given that,

Time = 6 sec

Force = 1

Mass of the particle $m=6\times10^{-2}\ kg$

We need to calculate the acceleration

Using formula of acceleration

$a = \dfrac{F}{m}$

Put the value into the formula

$a=\dfrac{1}{6\times10^{-2}}$

$a=16.67\ m/s^2$

We need to calculate the velocity after 6 sec

Using equation of motion

$v = u+at$

Put the value

$v=0+16.67\times6$

$v=100\ m/s$

The velocity in term of c

$v=\dfrac{100c}{3\times10^{8}}$

$v=3.333\times10^{-7}c$

$v=0.0333\times10^{-5}c$

Hence, The relativistic speed of a particle is $0.0333\times10^{-5}c$