The momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
For given question,
We need to calculate the momentum of a proton moving with a given speed.
We know that, the equation for relativistic momentum is,

We know, the mass of proton (m) =
kg
(a) For particle moving with speed 0.010c
v = 0.010c
the momentum of a proton would be,

(b) For particle moving with speed 0.50c
v = 0.50c
the momentum of a proton would be,

(c) For particle moving with speed 0.90c
v = 0.90c
the momentum of a proton would be,

Now, we need to convert answers into MeV/c
1 MeV = 1.6 × 10^(-13) kg.m²/s²
⇒ 1 kg.m²/s² = 625 × 10^(10) MeV
1 c = 299,792,458 m/s
⇒ 1 m/s = 3.3356E-9 c
So, 1 kg. m/s = 1.8737259e+21 MeV/c
(a) For p = 5.016 × 10^(-21) kgms^{-1}
⇒ p = 5.016 × 10^(-21) × 1.8737259e+21
⇒ p = 9.398 MeV/c
(b) For p = 2.89 × 10^(-19) kgms^{-1}
⇒ p = 2.89 × 10^(-19) × 1.8737259e+21
⇒ p = 541.5 MeV/c
(c) For p = 23.73 × 10^(-19) kgms^{-1}
⇒ p = 23.73 × 10^(-19) × 1.8737259e+21
⇒ p = 4446.35 MeV/c
Therefore, the momentum of a proton would be:
(a) For particle moving with speed 0.010c
p = 5.016 × 10^(-21) kgms^{-1}
p = 9.398 MeV/c
(b) For particle moving with speed 0.50c
p = 2.89 × 10^(-19) kgms^{-1}
p = 541.5 MeV/c
(c) For particle moving with speed 0.90c
p = 23.73 × 10^(-19) kgms^{-1}
p = 4446.35 MeV/c
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