A particle is moving at 0.75c relative to a lab on Earth.By what percentage is the Newtonian expression for its momentum in error? (The percentage error is the difference between the erroneous and correct values,divided by the correct one).

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Quizplus · Accepted Answer

The Newtonian momentum is given by p = mv, while the relativistic momentum is p = γmv, where γ = 1/√(1-v²/c²). For v = 0.75c, γ ≈ 1.511. The percentage error is [(γmv - mv) / (γmv)] * 100% ≈ 34%.

A Particle Is Moving at 0