Answer:
a)
b)
Step-by-step explanation:
a) When we have two particles traveling in parallel directions, the formula for relative velocity is:
Here we have that v(1) = -v(2), the speed of the of the second particle is the negative of the first one.
If we use these equivalence we have:
And,
b) The relativistic momentum equation to one particle observed by the other particle, is:
![p=\gamma mv](https://img.qammunity.org/2021/formulas/physics/college/2wxm54mfjh5fer602no1brn8y88itysn2n.png)
Where gamma is:
![\gamma = \frac{1}{\sqrt{1-(v^(2))/(c^(2))}}](https://img.qammunity.org/2021/formulas/physics/college/pwcy97y4qgxb3bpp9ga66tib5d2yp28lc5.png)
- v is the speed of the first particle relative to the second particle (
) - m is the mass of the particle
![2.97*10^(-25) kg](https://img.qammunity.org/2021/formulas/physics/college/2rvvbmhu9xr13e0b074k4m9adfsrpcncdq.png)
Then gamma will be:
![\gamma=\frac{1}{\sqrt{1-((2.86*10^(8))^(2))/((3*10^(8))^(2))}}](https://img.qammunity.org/2021/formulas/physics/college/pkknubtwwzpfy88e6ee2z48o5gbhltxmax.png)
![\gamma=3.31](https://img.qammunity.org/2021/formulas/physics/college/gxbdeg4bfejbwzwbmxtrjzj6hwwcp15hvt.png)
Finally, the value of the momentum will be:
I hope it helps you!