1. What is the momentum of a 800 MeV proton (that is, its kinetic energy is 800

Question

1. What is the momentum of a 800 MeV proton (that is, its kinetic energy is 800 MeV)? in kg·m/s

2. How much work is required to accelerate a proton from rest up to a speed of 0.992c? in GeV

3. What is the speed of a proton accelerated by a potential difference of 66 MV? in c

4. A person on a rocket traveling at 0.53c (with respect to the Earth) observes a meteor come from behind and pass her at a speed she measures as 0.47c. How fast is the meteor moving with respect to the Earth? in c

Please help me.. I am running low on the questions remaining to ask. Please show complete answer. THank you so so much.

Explanation / Answer

3.

Using work-energy theoram:

W = dKE

q*dV = 0.5*m*v^2 - 0

v = sqrt (2*q*dV/m)

v = sqrt (2*1.6*10^-19*66*10^6/(1.67*10^-27))

v = 1.124*10^8 m/sec

4.

Speed of meteor w.r.t earth will be given by:

Vme = (Vre + Vmr)/(1 + Vre*Vmr/c^2)

Vme = speed of meteor w.r.t. earth

Vre = speed of rocket w.r.t earth

Vmr = speed of meteor w.r.t. rocket

So,

Vme = (0.53c + 0.47c)/(1 + 0.53*0.47)

Vme = 0.801*c

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