State the formula for relativistic momentum.

What does \(m\) mean in \(p=\gamma mv\)?

What is the low-speed limit of relativistic momentum?

A particle with mass \(m\) moves at \(0.600c\). Find \(p\) in units of \(mc\).

A particle with mass \(m\) moves at \(0.800c\). Find \(p\) in units of \(mc\).

A proton with rest energy \(938\,\mathrm{MeV}\) moves at \(0.600c\). Find \(pc\).

Why does relativistic momentum increase without bound as \(v\to c\)?

A particle has \(p=3.00mc\). Find \(\gamma\beta\).

A particle has \(\beta=0.900\). Find \(p/(mc)\).

A proton with rest energy \(938\,\mathrm{MeV}\) moves at \(0.800c\). Find \(p\) in \(\mathrm{MeV}\,c^{-1}\).

Find the speed of a particle for which \(p=mc\).

A particle has \(pc=4.00\,\mathrm{GeV}\) and rest energy \(3.00\,\mathrm{GeV}\). Find its speed as a fraction of \(c\).

A photon has energy \(3.20\times10^{-19}\,\mathrm J\). Find its momentum.

Explain why \(p=mv\) can badly underestimate momentum at high speed.

A particle's momentum is doubled from \(mc\) to \(2mc\). Does its speed double?

Derive \(pc=\gamma\beta mc^2\) from \(p=\gamma mv\).

Show that \(\beta=pc/E\) for a massive relativistic particle.

Why can a photon have momentum even though its rest mass is zero?

A particle and antiparticle have equal and opposite momenta. Explain why total momentum is zero but total energy is not.

Explain why relativistic momentum is needed for momentum conservation to hold in all inertial frames.